1/7 - 3/8 as a fraction

Learn how to find what is 1/7 minus 3/8 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 - 3/8 as a fraction and decimal.

Summary: 1/7 minus 3/8 = -13/56
Since both fractions have unequal denominators, 1/7 minus 3/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 3/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 8. 56 is the LCM of 7 and 8. Multiplying the LCM 56 with the numerators and denominators of both fractions (1/7 x 56/56) - (3/8 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 8/56 and for 3/8 is 21/56. By simplifying this fraction subtraction 8/56 - 21/56, it becomes -13/56.

CALCULATION: 1/7 - 3/8 as a fraction
1/7 - 3/8 = (?)
1/7 - 3/8 = [(1 x 8) - (3 x 7)]/(7 x 8)
= (8 - 21)/56
= -13/56
1/7 - 3/8 = -13/56
1/7 minus 3/8 as a fraction is -13/56.

where
1/7 is a proper fraction as a minuend,
3/8 is a proper fraction as a subtrahend,
-13/56 is the difference between 1/7 and 3/8.

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1/7 minus 3/8 as a decimal
1/7 - 3/8 = -13/56
-13/56 = -0.2321
(1/7) - (3/8) as a decimal is -0.2321

where
-0.2321 is the difference between 1/7 and 3/8.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/8 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 3/8.
1. LCM method
2. Cross multiplication method.

(1/7) - (3/8) using LCM Method:
What is 1/7 minus 3/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 3/8

What to be found?
(1/7) - (3/8) = ?
Find what's the difference between 1/7 and 3/8.

step 2 Compare the denominators of fractions 1/7 and 3/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/7 and 3/8 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 1/7 and 3/8:
The LCM of 7 and 8 is 56.

step 4 Write the fractions 1/7 and 3/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 - 3/8
= [(1 x 56)/(7 x 56)] - [(3 x 56)/(8 x 56)]

step 5 Simplify the expression to have common denominator:
= 8/56 - 21/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (8/1 - 21/1)
= 1/56 x (8 - 21)

step 7Simplify the above expression further:
= 1/56 x -13
= -13/56
1/7 - 3/8 = -13/56

Hence,
1/7 minus 3/8 as a fraction is -13/56.

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1/7 - 3/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 3/8

What to be found?
(1/7)-(3/8) = ?
Find what's the difference between 1/7 and 3/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 8), 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 8) and rewrite the equation as like the below:
= (1 x 8) - (3 x 7)/(7 x 8)

step 3 Simplify and rewrite the fraction:
= (8 - 21)/56
1/7 - 3/8 = -13/56

Hence,
1/7 minus 3/8 in fraction is -13/56