Verified 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.
\(\frac{3*2}{4*2} = \frac{6}{8}\)
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
Answer:
\(\frac{7}{8}>\frac{3}{4}\)
7/8 is bigger
Step-by-step explanation:
Given : Two fractions \(\frac{7}{8}\) or \(\frac{3}{4}\)
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 \(\frac{7}{8}\) and \(\frac{3}{4}\) are 8 and 4 respectively.
Now, we have to make the denominator same
In \(\frac{7}{8}\) multiply numerator and denominator by 4
\(=\frac{7\times4}{8\times4}=\frac{28}{32}\)
In \(\frac{3}{4}\) multiply numerator and denominator by 8
\(=\frac{3\times8}{4\times8}=\frac{24}{32}\)
Now, the denominator is same so greater the numerator is greater the fraction.
So, \(\frac{28}{32}>\frac{24}{32}\)
Therefore, \(\frac{7}{8}>\frac{3}{4}\)