1/7 - 5/12 as a fraction

Learn how to find what is 1/7 minus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 - 5/12 as a fraction and decimal.

Summary: 1/7 minus 5/12 = -23/84
Since both fractions have unequal denominators, 1/7 minus 5/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 5/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 12. 84 is the LCM of 7 and 12. Multiplying the LCM 84 with the numerators and denominators of both fractions (1/7 x 84/84) - (5/12 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 12/84 and for 5/12 is 35/84. By simplifying this fraction subtraction 12/84 - 35/84, it becomes -23/84.

CALCULATION: 1/7 - 5/12 as a fraction
1/7 - 5/12 = (?)
1/7 - 5/12 = [(1 x 12) - (5 x 7)]/(7 x 12)
= (12 - 35)/84
= -23/84
1/7 - 5/12 = -23/84
1/7 minus 5/12 as a fraction is -23/84.

where
1/7 is a proper fraction as a minuend,
5/12 is a proper fraction as a subtrahend,
-23/84 is the difference between 1/7 and 5/12.

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1/7 minus 5/12 as a decimal
1/7 - 5/12 = -23/84
-23/84 = -0.2738
(1/7) - (5/12) as a decimal is -0.2738

where
-0.2738 is the difference between 1/7 and 5/12.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/12 from 1/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/7 minus 5/12.
1. LCM method
2. Cross multiplication method.

(1/7) - (5/12) using LCM Method:
What is 1/7 minus 5/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 5/12

What to be found?
(1/7) - (5/12) = ?
Find what's the difference between 1/7 and 5/12.

step 2 Compare the denominators of fractions 1/7 and 5/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/7 and 5/12 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 1/7 and 5/12:
The LCM of 7 and 12 is 84.

step 4 Write the fractions 1/7 and 5/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 - 5/12
= [(1 x 84)/(7 x 84)] - [(5 x 84)/(12 x 84)]

step 5 Simplify the expression to have common denominator:
= 12/84 - 35/84

step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (12/1 - 35/1)
= 1/84 x (12 - 35)

step 7Simplify the above expression further:
= 1/84 x -23
= -23/84
1/7 - 5/12 = -23/84

Hence,
1/7 minus 5/12 as a fraction is -23/84.

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1/7 - 5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 5/12

What to be found?
(1/7)-(5/12) = ?
Find what's the difference between 1/7 and 5/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 12) and rewrite the equation as like the below:
= (1 x 12) - (5 x 7)/(7 x 12)

step 3 Simplify and rewrite the fraction:
= (12 - 35)/84
1/7 - 5/12 = -23/84

Hence,
1/7 minus 5/12 in fraction is -23/84