Question

Which is bigger 7/8 or 3/4?

Answer 1

`(7)/(8)>(3)/(4)`

7/8 is bigger

Explanation:

Given : Two fractions
`(7)/(8)` or
`(3)/(4)`

To find : Which is bigger in the given fractions.

Solution :

First we compare the fractions to see which is greater by taking the fractions to a common denominator.

The denominator of the given fractions
`(7)/(8)` and
`(3)/(4)` are 8 and 4 respectively.

Now, we have to make the denominator same

In
`(7)/(8)` multiply numerator and denominator by 4

`=(7*4)/(8*4)=(28)/(32)`

In
`(3)/(4)` multiply numerator and denominator by 8

`=(3*8)/(4*8)=(24)/(32)`

Now, the denominator is same so greater the numerator is greater the fraction.

So,
`(28)/(32)>(24)/(32)`

Therefore,
`(7)/(8)>(3)/(4)`

Answer 2

to compare fractions to see which is greater or lesser we need to bring the fractions to a common denominator.

the denominators of the 2 fractions , 7/8 and 3/4 are 8 and 4 respectively.
we can multiply both numerator and denominator of 3/4 by 2 to get --> 6/8.

`(3*2)/(4*2) = (6)/(8)`
then both 7/8 and 6/8 have same denominator and we can compare then. when denominator is same the bigger the numerator, greater the fraction is.
from 7/8 and 6/8, 7/8 is the larger fraction
answer is 7/8