15/4 - 8 as a fraction

Learn how to find what is 15/4 minus 8 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 - 8 as a fraction and decimal.

Summary: 15/4 minus 8 = -17/4
Since both fractions have unequal denominators, 15/4 minus 8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 1. 4 is the LCM of 4 and 1. Multiplying the LCM 4 with the numerators and denominators of both fractions (15/4 x 4/4) - (8 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 15/4 and for 8 is 32/4. By simplifying this fraction subtraction 15/4 - 32/4, it becomes -17/4.

CALCULATION: 15/4 - 8 as a fraction
15/4 - 8 = (?)
15/4 - 8/1 = [(15 x 1) - (8 x 4)]/(4 x 1)
= (15 - 32)/4
= -17/4
15/4 - 8 = -17/4
15/4 minus 8 as a fraction is -17/4.

where
15/4 is a improper fraction as a minuend,
8 is a whole number as a subtrahend,
-17/4 is the difference between 15/4 and 8.

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15/4 minus 8 as a decimal
15/4 - 8 = -17/4
-17/4 = -4.25
(15/4) - (8) as a decimal is -4.25

where
-4.25 is the difference between 15/4 and 8.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 8 from 15/4. use any one of the following methods to find the equivalent fraction for 15/4 minus 8.
1. LCM method
2. Cross multiplication method.

(15/4) - (8) using LCM Method:
What is 15/4 minus 8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 8/1

What to be found?
(15/4) - (8) = ?
Find what's the difference between 15/4 and 8.

step 2 Compare the denominators of fractions 15/4 and 8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/4 and 8 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 15/4 and 8:
The LCM of 4 and 1 is 4.

step 4 Write the fractions 15/4 and 8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 - 8
= [(15 x 4)/(4 x 4)] - [(8 x 4)/(1 x 4)]

step 5 Simplify the expression to have common denominator:
= 15/4 - 32/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (15/1 - 32/1)
= 1/4 x (15 - 32)

step 7Simplify the above expression further:
= 1/4 x -17
= -17/4
15/4 - 8 = -17/4

Hence,
15/4 minus 8 as a fraction is -17/4.

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15/4 - 8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 8/1

What to be found?
(15/4)-(8) = ?
Find what's the difference between 15/4 and 8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 1), find the product of numerator of Fraction B and denominator of Fraction A (8 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 1) and rewrite the equation as like the below:
= (15 x 1) - (8 x 4)/(4 x 1)

step 3 Simplify and rewrite the fraction:
= (15 - 32)/4
15/4 - 8 = -17/4

Hence,
15/4 minus 8 in fraction is -17/4