Which fraction is bigger 3/4 or 2/3?

Question

Marcus Herman · Accepted Answer

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

\frac{3}{4}

and

\frac{2}{3}

denominators are 4 and 3 and their GCD is 12. Now let us make each denominator equal to 12.

\frac{3}{4} = \frac{3 \times 3}{3 \times 4} = \frac{9}{12}

and

\frac{2}{3} = \frac{4 \times 2}{4 \times 3} = \frac{8}{12}

Now as

\frac{9}{12} > \frac{8}{12}

, we have

\frac{3}{4} > \frac{2}{3}

Hence

\frac{3}{4}

is bigger.

Papilys3q · Accepted Answer

Writing common fractions as percentages is a quick way of comparing them  34×100%  =75%  23×100%  =6623%  34&amp;gt;23

karton · Accepted Answer

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 $\frac{3}{4}$ , we are multiplying 3 to the bottom (denominator) so we have to multiply 3 to the top (numerator).
For $\frac{2}{3}$ we are multiplying 4 to the bottom so we have to multiply 4 to the top.
$\frac{3 \times 3}{4 \times 3} = \frac{9}{12}$ and $\frac{2 \times 4}{3 \times 4} = \frac{8}{12}$
Now look just at the numerators of the two answers. 9 is greater than 8 so $\frac{9}{12}$ is greater! $\frac{9}{12}$ was originally $\frac{3}{4}$
So $\frac{3}{4}$ is greater than $\frac{2}{3}$
I hope you understood this and my source is my knowledge!

Which fraction is bigger 3/4 or 2/3?

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