What number should be added to 7/12 to get 4/15

Question 10 Fractions Exercise 2.1

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Answer:

Given 5 (4/15)

First convert the given mixed fraction into improper fraction we get (79/15)

Let x be the number added to (79/15) to get (63/5)

Therefore x + (79/15) =(63/5)

x = (63/5) – (79/15)

By taking LCM for 15 and 5 is 15

x = (63 × 3 – 79)/15

x = (189 – 79)/15

x = (110/15) = (22/3)

Hence (22/3) is the number which is added to 5 (4/15) to get 12 (3/5).

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7/12 + 4/15 is 17/20.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 12 and 15 is 60

   Next, find the equivalent fraction of both fractional numbers with denominator 60

2. For the 1st fraction, since 12 × 5 = 60,
   7/12 = 7 × 5/12 × 5 = 35/60
3. Likewise, for the 2nd fraction, since 15 × 4 = 60,
   4/15 = 4 × 4/15 × 4 = 16/60
4. Add the two like fractions:
   35/60 + 16/60 = 35 + 16/60 = 51/60
5. 51/60 simplified gives 17/20
6. So, 7/12 + 4/15 = 17/20

MathStep (Works offline)

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What should be added to 7/12 to get 4/15

Posted by Technical Ideas 5 years, 7 months ago

this is the wrong answer

thank you

Ans.  \({7\over 12} + x = {4\over 15}\)

\(=> x = {4\over 15} - {7\over 12}\)

\(=> x = {16 - 35 \over 60 } = -{19\over 60}\)

\( -{19\over 60}\) should be added to\( 7\over 12 \)to get \(4\over 15\). 

What should be added to 7/12 to get 4/15 ? a 17/20 b 17/20 c 7/20 d 7/20

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