What is 8/7 - 3/4 in fraction?
8/7 - 3/4 equals to 11/28 in fraction form.
Learn how to find what is 8/7 minus 3/4 in fraction form just in a few minutes. We have covered the easiest method to write 8/7 - 3/4 as a fraction and decimal.
Summary: 8/7 minus 3/4 = 11/28
Since both fractions have unequal denominators, 8/7 minus 3/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/7 and fraction 3/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 4. 28 is the LCM of 7 and 4. Multiplying the LCM 28 with the numerators and denominators of both fractions (8/7 x 28/28) - (3/4 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 8/7 is 32/28 and for 3/4 is 21/28. By simplifying this fraction subtraction 32/28 - 21/28, it becomes 11/28.
Pie Chart Representation: 8/7 - 3/4 = 11/28
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/4 from 8/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/7 minus 3/4.
1. LCM method
2. Cross multiplication method.
(8/7) - (3/4) using LCM Method:
What is 8/7 minus 3/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 3/4
What to be found?
(8/7) - (3/4) = ?
Find what's the difference between 8/7 and 3/4.
step 2 Compare the denominators of fractions 8/7 and 3/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/7 and 3/4 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 8/7 and 3/4:
The LCM of 7 and 4 is 28.
step 4 Write the fractions 8/7 and 3/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/7 - 3/4
= [(8 x 28)/(7 x 28)] - [(3 x 28)/(4 x 28)]
step 5 Simplify the expression to have common denominator:
= 32/28 - 21/28
step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (32/1 - 21/1)
= 1/28 x (32 - 21)
step 7Simplify the above expression further:
= 1/28 x 11
= 11/28
8/7 - 3/4 = 11/28
Hence,
8/7 minus 3/4 as a fraction is 11/28.
8/7 - 3/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 3/4
What to be found?
(8/7)-(3/4) = ?
Find what's the difference between 8/7 and 3/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 4), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 4) and rewrite the equation as like the below:
= (8 x 4) - (3 x 7)/(7 x 4)
step 3 Simplify and rewrite the fraction:
= (32 - 21)/28
8/7 - 3/4 = 11/28
Hence,
8/7 minus 3/4 in fraction is 11/28