9/8 - 1/4 as a fraction

Learn how to find what is 9/8 minus 1/4 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 - 1/4 as a fraction and decimal.

Summary: 9/8 minus 1/4 = 7/8
Since both fractions have unequal denominators, 9/8 minus 1/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 1/4 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) - (1/4 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 1/4 is 2/8. By simplifying this fraction subtraction 9/8 - 2/8, it becomes 7/8.

Pie Chart Representation: 9/8 - 1/4 = 7/8

CALCULATION: 9/8 - 1/4 as a fraction
9/8 - 1/4 = (?)
9/8 - 1/4 = [(9 x 4) - (1 x 8)]/(8 x 4)
= (36 - 8)/32
= 28/32
= (4 x 7)/(4 x 8)
= 7/8
9/8 - 1/4 = 7/8
9/8 minus 1/4 as a fraction is 7/8.

where
9/8 is a improper fraction as a minuend,
1/4 is a proper fraction as a subtrahend,
7/8 is the difference between 9/8 and 1/4.

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9/8 minus 1/4 as a decimal
9/8 - 1/4 = 7/8
7/8 = 0.875
(9/8) - (1/4) as a decimal is 0.875

where
0.875 is the difference between 9/8 and 1/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/4 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 1/4.
1. LCM method
2. Cross multiplication method.

(9/8) - (1/4) using LCM Method:
What is 9/8 minus 1/4 as a fraction?

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

What to be found?
(9/8) - (1/4) = ?
Find what's the difference between 9/8 and 1/4.

step 2 Compare the denominators of fractions 9/8 and 1/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 1/4 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 1/4:
The LCM of 8 and 4 is 8.

step 4 Write the fractions 9/8 and 1/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 - 1/4
= [(9 x 8)/(8 x 8)] - [(1 x 8)/(4 x 8)]

step 5 Simplify the expression to have common denominator:
= 9/8 - 2/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (9/1 - 2/1)
= 1/8 x (9 - 2)

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

Hence,
9/8 minus 1/4 as a fraction is 7/8.

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

What to be found?
(9/8)-(1/4) = ?
Find what's the difference between 9/8 and 1/4.

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 (1 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) - (1 x 8)/(8 x 4)

step 3 Simplify and rewrite the fraction:
= (36 - 8)/32
= 28/32
= 7/8
9/8 - 1/4 = 7/8

Hence,
9/8 minus 1/4 in fraction is 7/8