Question

Which one is bigger 2/3 or 4/7

Answer 1

2/3

Explanation:

To find whether a fraction is bigger than the other, we need to make the denominators the same.

First we see what number we can change 3 and 7 into, so it can be made the same.

I chose the number 21 as 21 is in the 3 times tables and the 7 times tables.

Then because I multiplied 3 by 7 to make 21 , I multiply the numerator which is 2 by 7 as well which is 14.

This makes 14/21.

We need to multiply the numerator of the other fraction to because we multiplied the denominator by 3 so we do 4 multiplied by 3, to make 12.

This makes 12/21.

We can see here that 14/21 is greater than 12/21, therefore 2/3 is greater than 4/7.

Your welcome!

Answer 2

`(2)/(3)`

Explanation:

To compare the fractions we require them to have a common denominator.

The lowest common multiple of 3 and 7 is 21

Change both fractions into fractions with a denominator of 21

`(2(7))/(3(7))` and
`(4(3))/(7(3))`

=
`(14)/(21)` and
`(12)/(21)`

The numerator 14 is greater than 12, hence

`(2)/(3)` is the larger fraction