12/5 - 8 as a fraction

Learn how to find what is 12/5 minus 8 in fraction form just in a few minutes. We have covered the easiest method to write 12/5 - 8 as a fraction and decimal.

Summary: 12/5 minus 8 = -28/5
Since both fractions have unequal denominators, 12/5 minus 8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/5 and fraction 8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (12/5 x 5/5) - (8 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 12/5 is 12/5 and for 8 is 40/5. By simplifying this fraction subtraction 12/5 - 40/5, it becomes -28/5.

CALCULATION: 12/5 - 8 as a fraction
12/5 - 8 = (?)
12/5 - 8/1 = [(12 x 1) - (8 x 5)]/(5 x 1)
= (12 - 40)/5
= -28/5
12/5 - 8 = -28/5
12/5 minus 8 as a fraction is -28/5.

where
12/5 is a improper fraction as a minuend,
8 is a whole number as a subtrahend,
-28/5 is the difference between 12/5 and 8.

---

12/5 minus 8 as a decimal
12/5 - 8 = -28/5
-28/5 = -5.6
(12/5) - (8) as a decimal is -5.6

where
-5.6 is the difference between 12/5 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 12/5. use any one of the following methods to find the equivalent fraction for 12/5 minus 8.
1. LCM method
2. Cross multiplication method.

(12/5) - (8) using LCM Method:
What is 12/5 minus 8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 8/1

What to be found?
(12/5) - (8) = ?
Find what's the difference between 12/5 and 8.

step 2 Compare the denominators of fractions 12/5 and 8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/5 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 12/5 and 8:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 12/5 and 8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/5 - 8
= [(12 x 5)/(5 x 5)] - [(8 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 12/5 - 40/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (12/1 - 40/1)
= 1/5 x (12 - 40)

step 7Simplify the above expression further:
= 1/5 x -28
= -28/5
12/5 - 8 = -28/5

Hence,
12/5 minus 8 as a fraction is -28/5.

---

12/5 - 8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 8/1

What to be found?
(12/5)-(8) = ?
Find what's the difference between 12/5 and 8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 1), find the product of numerator of Fraction B and denominator of Fraction A (8 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (12 x 1) - (8 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (12 - 40)/5
12/5 - 8 = -28/5

Hence,
12/5 minus 8 in fraction is -28/5