13/8 - 5 as a fraction

Learn how to find what is 13/8 minus 5 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 - 5 as a fraction and decimal.

Summary: 13/8 minus 5 = -27/8
Since both fractions have unequal denominators, 13/8 minus 5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (13/8 x 8/8) - (5 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 13/8 and for 5 is 40/8. By simplifying this fraction subtraction 13/8 - 40/8, it becomes -27/8.

CALCULATION: 13/8 - 5 as a fraction
13/8 - 5 = (?)
13/8 - 5/1 = [(13 x 1) - (5 x 8)]/(8 x 1)
= (13 - 40)/8
= -27/8
13/8 - 5 = -27/8
13/8 minus 5 as a fraction is -27/8.

where
13/8 is a improper fraction as a minuend,
5 is a whole number as a subtrahend,
-27/8 is the difference between 13/8 and 5.

---

13/8 minus 5 as a decimal
13/8 - 5 = -27/8
-27/8 = -3.375
(13/8) - (5) as a decimal is -3.375

where
-3.375 is the difference between 13/8 and 5.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 5 from 13/8. use any one of the following methods to find the equivalent fraction for 13/8 minus 5.
1. LCM method
2. Cross multiplication method.

(13/8) - (5) using LCM Method:
What is 13/8 minus 5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/1

What to be found?
(13/8) - (5) = ?
Find what's the difference between 13/8 and 5.

step 2 Compare the denominators of fractions 13/8 and 5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/8 and 5 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 13/8 and 5:
The LCM of 8 and 1 is 8.

step 4 Write the fractions 13/8 and 5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 - 5
= [(13 x 8)/(8 x 8)] - [(5 x 8)/(1 x 8)]

step 5 Simplify the expression to have common denominator:
= 13/8 - 40/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (13/1 - 40/1)
= 1/8 x (13 - 40)

step 7Simplify the above expression further:
= 1/8 x -27
= -27/8
13/8 - 5 = -27/8

Hence,
13/8 minus 5 as a fraction is -27/8.

---

13/8 - 5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 5/1

What to be found?
(13/8)-(5) = ?
Find what's the difference between 13/8 and 5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (13 x 1) - (5 x 8)/(8 x 1)

step 3 Simplify and rewrite the fraction:
= (13 - 40)/8
13/8 - 5 = -27/8

Hence,
13/8 minus 5 in fraction is -27/8