8 - 9/4 as a fraction

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

Summary: 8 minus 9/4 = 23/4
Since both fractions have unequal denominators, 8 minus 9/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8 and fraction 9/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 4. 4 is the LCM of 1 and 4. Multiplying the LCM 4 with the numerators and denominators of both fractions (8 x 4/4) - (9/4 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 8 is 32/4 and for 9/4 is 9/4. By simplifying this fraction subtraction 32/4 - 9/4, it becomes 23/4.

CALCULATION: 8 - 9/4 as a fraction
8 - 9/4 = (?)
8/1 - 9/4 = [(8 x 4) - (9 x 1)]/(1 x 4)
= (32 - 9)/4
= 23/4
8 - 9/4 = 23/4
8 minus 9/4 as a fraction is 23/4.

where
8 is a whole number as a minuend,
9/4 is a improper fraction as a subtrahend,
23/4 is the difference between 8 and 9/4.

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8 minus 9/4 as a decimal
8 - 9/4 = 23/4
23/4 = 5.75
(8) - (9/4) as a decimal is 5.75

where
5.75 is the difference between 8 and 9/4.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 32/4 - 9/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (32/1 - 9/1)
= 1/4 x (32 - 9)

step 7Simplify the above expression further:
= 1/4 x 23
= 23/4
8 - 9/4 = 23/4

Hence,
8 minus 9/4 as a fraction is 23/4.

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

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

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 (9 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 4) and rewrite the equation as like the below:
= (8 x 4) - (9 x 1)/(1 x 4)

step 3 Simplify and rewrite the fraction:
= (32 - 9)/4
8 - 9/4 = 23/4

Hence,
8 minus 9/4 in fraction is 23/4