12/7 - 3 as a fraction

Learn how to find what is 12/7 minus 3 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 - 3 as a fraction and decimal.

Summary: 12/7 minus 3 = -9/7
Since both fractions have unequal denominators, 12/7 minus 3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (12/7 x 7/7) - (3 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 12/7 and for 3 is 21/7. By simplifying this fraction subtraction 12/7 - 21/7, it becomes -9/7.

CALCULATION: 12/7 - 3 as a fraction
12/7 - 3 = (?)
12/7 - 3/1 = [(12 x 1) - (3 x 7)]/(7 x 1)
= (12 - 21)/7
= -9/7
12/7 - 3 = -9/7
12/7 minus 3 as a fraction is -9/7.

where
12/7 is a improper fraction as a minuend,
3 is a whole number as a subtrahend,
-9/7 is the difference between 12/7 and 3.

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12/7 minus 3 as a decimal
12/7 - 3 = -9/7
-9/7 = -1.2857
(12/7) - (3) as a decimal is -1.2857

where
-1.2857 is the difference between 12/7 and 3.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 3 from 12/7. use any one of the following methods to find the equivalent fraction for 12/7 minus 3.
1. LCM method
2. Cross multiplication method.

(12/7) - (3) using LCM Method:
What is 12/7 minus 3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 3/1

What to be found?
(12/7) - (3) = ?
Find what's the difference between 12/7 and 3.

step 2 Compare the denominators of fractions 12/7 and 3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/7 and 3 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 12/7 and 3:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 12/7 and 3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 - 3
= [(12 x 7)/(7 x 7)] - [(3 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 12/7 - 21/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (12/1 - 21/1)
= 1/7 x (12 - 21)

step 7Simplify the above expression further:
= 1/7 x -9
= -9/7
12/7 - 3 = -9/7

Hence,
12/7 minus 3 as a fraction is -9/7.

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12/7 - 3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 3/1

What to be found?
(12/7)-(3) = ?
Find what's the difference between 12/7 and 3.

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 (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (12 x 1) - (3 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (12 - 21)/7
12/7 - 3 = -9/7

Hence,
12/7 minus 3 in fraction is -9/7