Answer :

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.
[tex] \frac{3*2}{4*2} = \frac{6}{8} [/tex]
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

Answer:

[tex]\frac{7}{8}>\frac{3}{4}[/tex]

7/8 is bigger

Step-by-step explanation:

Given : Two fractions [tex]\frac{7}{8}[/tex] or  [tex]\frac{3}{4}[/tex]

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 [tex]\frac{7}{8}[/tex] and [tex]\frac{3}{4}[/tex] are 8 and 4 respectively.

Now, we have to make the denominator same

In  [tex]\frac{7}{8}[/tex] multiply numerator and denominator by 4

[tex]=\frac{7\times4}{8\times4}=\frac{28}{32}[/tex]

In  [tex]\frac{3}{4}[/tex] multiply numerator and denominator by 8

[tex]=\frac{3\times8}{4\times8}=\frac{24}{32}[/tex]

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

So, [tex]\frac{28}{32}>\frac{24}{32}[/tex]

Therefore, [tex]\frac{7}{8}>\frac{3}{4}[/tex]