12/5 - 6 as a fraction

Learn how to find what is 12/5 minus 6 in fraction form just in a few minutes. We have covered the easiest method to write 12/5 - 6 as a fraction and decimal.

Summary: 12/5 minus 6 = -18/5
Since both fractions have unequal denominators, 12/5 minus 6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/5 and fraction 6 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) - (6 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 6 is 30/5. By simplifying this fraction subtraction 12/5 - 30/5, it becomes -18/5.

CALCULATION: 12/5 - 6 as a fraction
12/5 - 6 = (?)
12/5 - 6/1 = [(12 x 1) - (6 x 5)]/(5 x 1)
= (12 - 30)/5
= -18/5
12/5 - 6 = -18/5
12/5 minus 6 as a fraction is -18/5.

where
12/5 is a improper fraction as a minuend,
6 is a whole number as a subtrahend,
-18/5 is the difference between 12/5 and 6.

---

12/5 minus 6 as a decimal
12/5 - 6 = -18/5
-18/5 = -3.6
(12/5) - (6) as a decimal is -3.6

where
-3.6 is the difference between 12/5 and 6.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 6 from 12/5. use any one of the following methods to find the equivalent fraction for 12/5 minus 6.
1. LCM method
2. Cross multiplication method.

(12/5) - (6) using LCM Method:
What is 12/5 minus 6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 6/1

What to be found?
(12/5) - (6) = ?
Find what's the difference between 12/5 and 6.

step 2 Compare the denominators of fractions 12/5 and 6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/5 and 6 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 6:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 12/5 and 6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/5 - 6
= [(12 x 5)/(5 x 5)] - [(6 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 12/5 - 30/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (12/1 - 30/1)
= 1/5 x (12 - 30)

step 7Simplify the above expression further:
= 1/5 x -18
= -18/5
12/5 - 6 = -18/5

Hence,
12/5 minus 6 as a fraction is -18/5.

---

12/5 - 6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 6/1

What to be found?
(12/5)-(6) = ?
Find what's the difference between 12/5 and 6.

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 (6 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) - (6 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (12 - 30)/5
12/5 - 6 = -18/5

Hence,
12/5 minus 6 in fraction is -18/5