3/4 is bigger and the explanation is down below.
If we want to compare two fraction, we need the denominator to be the same. So we need the LCM (Lowest Common Multiple) of #4# and #3# which is #12#. So we need to multiply 4 to #3# and 3 to #4#
Remember, whatever you do to the bottom has to be done to the top.
For #3/4#, we are
multiplying 3 to the bottom (denominator) so we have to multiply #3# to the top (numerator).
For #2/3# we are multiplying #4# to the bottom so we have to multiply #4# to the top.
#(3xx3)/(4xx3)=9/12# and #(2xx4)/(3xx4)=8/12#
Now look just at the numerators of the two answers. #9# is greater than #8# so #9/12# is greater! #9/12# was originally #3/4#.
So #3/4# is greater than #2/3#.
I hope you understood this and my source is my knowledge!
Explanation:
To check which of the two factors is bigger,
we should make the denominator of two factors same by finding GCD and then making each of the denominator equal to their GCD.
Here in #3/4# and #2/3# denominators are #4# and #3# and their GCD is #12#. Now let us make each denominator equal to #12#.
#3/4=(3xx3)/(3xx4)=9/12# and
#2/3=(4xx2)/(4xx3)=8/12#
Now as #9/12>8/12#, we have #3/4>2/3#
hence #3/4# is bigger.
Is 2/3 greater than 3/4? Is 2/3 bigger than 3/4? Is 2/3 larger than 3/4? These are all the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
2/3 = 0.667
3/4 = 0.75
Then, we compare the two decimal numbers to
get the answer.
0.667 is not greater than 0.75.
Therefore, 2/3 is not greater than 3/4 and the answer to the question "Is 2/3 greater than 3/4?" is no.
Which means that this equation is also true: 2/3 < 3/4
Note: When comparing fractions such as 2/3 and 3/4, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
Compare Fractions
Compare another set of fractions here.
Is 2/3 greater than 3/5?
Here is the next set of fractions we compared.
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Is 3/4 greater than 2/3? Is 3/4 bigger than 2/3? Is 3/4 larger than 2/3? These are all the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/4 = 0.75
2/3 = 0.667
Then, we compare the two decimal numbers to
get the answer.
0.75 is greater than 0.667.
Therefore, 3/4 is greater than 2/3 and the answer to the question "Is 3/4 greater than 2/3?" is yes.
Which means that this equation is also true: 3/4 > 2/3
Note: When comparing fractions such as 3/4 and 2/3, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
Compare Fractions
Compare another set of fractions here.
Is 3/4 greater than 2/4?
Here is the next set of fractions we compared.
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2/3 is smaller than 3/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 4 is 12Next, find the equivalent fraction of both fractional numbers with denominator 12
- For the 1st fraction, since 3 × 4
= 12,
2/3 = 2 × 4/3 × 4 = 8/12 - Likewise, for the 2nd fraction, since 4 × 3 = 12,
3/4 = 3 × 3/4 × 3 = 9/12 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/12 < 9/12 or 2/3 < 3/4
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