9/8 - 7/4 as a fraction

Learn how to find what is 9/8 minus 7/4 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 - 7/4 as a fraction and decimal.

Summary: 9/8 minus 7/4 = -5/8
Since both fractions have unequal denominators, 9/8 minus 7/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 7/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 4. 8 is the LCM of 8 and 4. Multiplying the LCM 8 with the numerators and denominators of both fractions (9/8 x 8/8) - (7/4 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 9/8 and for 7/4 is 14/8. By simplifying this fraction subtraction 9/8 - 14/8, it becomes -5/8.

CALCULATION: 9/8 - 7/4 as a fraction
9/8 - 7/4 = (?)
9/8 - 7/4 = [(9 x 4) - (7 x 8)]/(8 x 4)
= (36 - 56)/32
= -20/32
= (4 x -5)/(4 x 8)
= -5/8
9/8 - 7/4 = -5/8
9/8 minus 7/4 as a fraction is -5/8.

where
9/8 is a improper fraction as a minuend,
7/4 is a improper fraction as a subtrahend,
-5/8 is the difference between 9/8 and 7/4.

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9/8 minus 7/4 as a decimal
9/8 - 7/4 = -5/8
-5/8 = -0.625
(9/8) - (7/4) as a decimal is -0.625

where
-0.625 is the difference between 9/8 and 7/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/4 from 9/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/8 minus 7/4.
1. LCM method
2. Cross multiplication method.

(9/8) - (7/4) using LCM Method:
What is 9/8 minus 7/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 7/4

What to be found?
(9/8) - (7/4) = ?
Find what's the difference between 9/8 and 7/4.

step 2 Compare the denominators of fractions 9/8 and 7/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 7/4 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 9/8 and 7/4:
The LCM of 8 and 4 is 8.

step 4 Write the fractions 9/8 and 7/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 - 7/4
= [(9 x 8)/(8 x 8)] - [(7 x 8)/(4 x 8)]

step 5 Simplify the expression to have common denominator:
= 9/8 - 14/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (9/1 - 14/1)
= 1/8 x (9 - 14)

step 7Simplify the above expression further:
= 1/8 x -5
= -5/8
9/8 - 7/4 = -5/8

Hence,
9/8 minus 7/4 as a fraction is -5/8.

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9/8 - 7/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 7/4

What to be found?
(9/8)-(7/4) = ?
Find what's the difference between 9/8 and 7/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 4), find the product of numerator of Fraction B and denominator of Fraction A (7 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 4) and rewrite the equation as like the below:
= (9 x 4) - (7 x 8)/(8 x 4)

step 3 Simplify and rewrite the fraction:
= (36 - 56)/32
= -20/32
= -5/8
9/8 - 7/4 = -5/8

Hence,
9/8 minus 7/4 in fraction is -5/8