What fraction has a numerator of 12 and is equivalent to 3 4?

Equivalent Fractions Calculator

Find Fractions Equivalent to:
enter one fraction or one mixed number

Answer:

These are just some
equivalent fractions of 1/5:

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17/85

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18/90

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19/95

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20/100

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21/105

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22/110

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23/115

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24/120

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25/125

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26/130

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27/135

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28/140

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29/145

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30/150

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31/155

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32/160

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33/165

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34/170

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35/175

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36/180

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37/185

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38/190

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39/195

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40/200

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41/205

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42/210

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43/215

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44/220

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45/225

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46/230

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47/235

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48/240

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49/245

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50/250

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51/255

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52/260

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53/265

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54/270

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55/275

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56/280

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57/285

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58/290

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59/295

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60/300

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61/305

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62/310

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63/315

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64/320

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65/325

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66/330

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67/335

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68/340

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69/345

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70/350

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71/355

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72/360

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73/365

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74/370

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75/375

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76/380

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77/385

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78/390

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79/395

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80/400

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81/405

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82/410

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83/415

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84/420

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85/425

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86/430

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87/435

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88/440

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89/445

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90/450

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91/455

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92/460

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93/465

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94/470

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95/475

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96/480

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97/485

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98/490

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99/495

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100/500

If you are looking for a specific numerator or denominator that is not shown here then try the
Fractions Solve for Unknown X Calculator to find an equivalent fraction.


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Calculator Use

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:

  • Fraction - like 2/3 or 15/16
  • Mixed number - like 1 1/2 or 4 5/6
  • Integer - like 5 or 28

What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

How to Find Equivalent Fractions

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

Example Equivalent Fractions

Find fractions equivalent to 3/4 by multiplying the numerator and denominator by the same whole number:

\( \dfrac{3}{4} \times \dfrac{2}{2} = \dfrac{6}{8} \)

\( \dfrac{3}{4} \times \dfrac{3}{3} = \dfrac{9}{12} \)

\( \dfrac{3}{4} \times \dfrac{4}{4} = \dfrac{12}{16} \)

\( \dfrac{3}{4} \times \dfrac{5}{5} = \dfrac{15}{20} \)

\( \dfrac{3}{4} \times \dfrac{6}{6} = \dfrac{18}{24} \)

Therefore these are all equivalent fractions:

\( \dfrac{3}{4} = \dfrac{6}{8} = \dfrac{9}{12} = \dfrac{15}{20} = \dfrac{18}{24} \)

Note that if you reduce all of these fractions to lowest terms, they equal 3/4.

For additional fraction help see our Fractions Calculator, Simplify Fractions Calculator and Mixed Numbers Calculator.

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What fraction has a numerator of 12 and is equivalent to 3 4?
What fraction has a numerator of 12 and is equivalent to 3 4?

Created by Wojciech Sas, PhD

Reviewed by Bogna Szyk and Jack Bowater

Last updated: Oct 31, 2022

This equivalent fractions calculator is a great tool that helps you find equivalent fractions for any fraction you wish. This is the right place to learn what is an equivalent fraction of x, or how to find equivalent fractions.

Wondering whether two fractions are equivalent? You can get the answer to this question as well!

🔎 If you want to go one step further and learn how to add fractions, check our adding fractions calculator!

What is an equivalent fraction?

A fraction is a ratio of two numbers, the numerator, A and the denominator, B. As you already know from the ratio calculator, the ratio is equal to some specific value, x, where x = A/B.

The equivalent fraction definition tells us that any two fractions, A/B and C/D, are equivalent if they are equal to the same value. We can find whether or not two fractions are equivalent by checking one of these conditions:

  • A = C and B = D;
  • A × D = B × C;
  • C = k × A and D = k × B, for any number k.

Converting two equivalent fractions to percentages will give us exactly the same number.

How to find equivalent fractions?

For any fraction, there are infinitely many equivalent fractions. It's convenient to present such values as a ratio of two integer numbers. That's how we divide things in everyday life, e.g., cutting a pizza into pieces (and taking a few of them).

As an example, let's check how to find equivalent fractions of 4/6. We can follow these steps:

  1. Make sure both the numerator and denominator are integers. If not, start multiplying both numbers by 10 until there are no more decimal digits. In our case, both 4 and 6 are already integers.

  2. Let's find the fraction in its simplest form. To do so, evaluate the greatest common factor of the numerator and the denominator. Here, the GCF of 4 and 6 is 2, so 4/6 is an equivalent fraction of 2/3, and the latter is the simplest form of this ratio. Therefore, 2/3 is our base.

🔎 For a more complex computation, feel free to use Omni's GCF calculator.

  1. Multiply the base by consecutive natural numbers:

    → 2×2/2×3 = 4/6;
    → 3×2/3×3 = 6/9;
    → 4×2/4×3 = 8/12;
    → etc…

  2. All of the values are equivalent fractions of 2/3 and are also equivalent to 4/6, the number we started with.

The procedure is straightforward, but what if you want to find 20 or 30 equivalent fractions? Well, it gets pretty time-consuming. However, if you use our equivalent fractions calculator, we can save you all of that hassle.

You can always convert any decimal to a fraction and then work out what are its equivalent fractions from there.

How to use equivalent fractions calculator?

There are two different modes you can choose from. The first one helps you find as many fractions that are equivalent to your number as you want. Check the previous section for how these calculations work.

The second option helps you find if two fractions are equivalent. For instance, is 13/16 an equivalent fraction to 3/4? Let's check one of the conditions, e.g. multiply the numerator and denominator from the opposing fractions:

  • 13 × 4 = 52;
  • 16 × 3 = 48.

The outcomes are different, so the fractions 13/16 and 3/4 are NOT equivalent. What about 12/16 and 3/4?

  • 12 × 4 = 48;
  • 16 × 3 = 48.

This time, both numbers are the same, so 12/16 IS equivalent to 3/4. By using this equivalent fraction calculator, you can also see how to obtain one fraction from another!

What are equivalent fractions of…

Here is a list of a few fractions and their equivalent fractions:

  • Equivalent fractions of 1/1: 2/2, 3/3, 4/4, 5/5.

  • Equivalent fractions of 1/2: 2/4, 3/6, 4/8, 5/10.

  • Equivalent fractions of 1/3: 2/6, 3/9, 4/12, 5/15.

  • Equivalent fractions of 2/3: 4/6, 6/9, 8/12, 10/15.

  • Equivalent fractions of 1/4: 2/8, 3/12, 4/16, 5/20.

  • Equivalent fractions of 3/4: 6/8, 9/12, 12/16, 15/20.

  • Equivalent fractions of 1/5: 2/10, 3/15, 4/20, 5/25.

  • Equivalent fractions of 2/5: 4/10, 6/15, 8/20, 10/25.

  • Equivalent fractions of 3/5: 6/10, 9/15, 12/20, 15/25.

  • Equivalent fractions of 4/5: 8/10, 12/15, 16/20, 20/25.

  • Equivalent fractions of 1/6: 2/12, 3/18, 4/24, 5/30.

  • Equivalent fractions of 5/6: 10/12, 15/18, 20/24, 25/30.

What fraction has a numerator of 12 and is equivalent to 3 4?

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What is a fraction 3 4 with a denominator of 12?

Answer: 3/4 of 12 is 9.

What is 3/4 as a fraction equivalent to?

Equivalent fractions of 3/4: 6/8, 9/12, 12/16, 15/20.

Are the fractions 3/4 and 9/12 equivalent?

9/12 ÷ 3/3 = 3/4, so 9/12 and 3/4 are equivalent fractions, with 3/4 being the fraction in its simplest form.

What is the fraction of 12?

12 is converted to 12/100 to change it to a fraction. The fraction is not in lowest terms. Reducing the fraction 12/100 to lowest terms results in the fraction 3/25.