3/8 - 7/13 as a fraction

Learn how to find what is 3/8 minus 7/13 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 - 7/13 as a fraction and decimal.

Summary: 3/8 minus 7/13 = -17/104
Since both fractions have unequal denominators, 3/8 minus 7/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 7/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 13. 104 is the LCM of 8 and 13. Multiplying the LCM 104 with the numerators and denominators of both fractions (3/8 x 104/104) - (7/13 x 104/104), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 39/104 and for 7/13 is 56/104. By simplifying this fraction subtraction 39/104 - 56/104, it becomes -17/104.

CALCULATION: 3/8 - 7/13 as a fraction
3/8 - 7/13 = (?)
3/8 - 7/13 = [(3 x 13) - (7 x 8)]/(8 x 13)
= (39 - 56)/104
= -17/104
3/8 - 7/13 = -17/104
3/8 minus 7/13 as a fraction is -17/104.

where
3/8 is a proper fraction as a minuend,
7/13 is a proper fraction as a subtrahend,
-17/104 is the difference between 3/8 and 7/13.

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3/8 minus 7/13 as a decimal
3/8 - 7/13 = -17/104
-17/104 = -0.1635
(3/8) - (7/13) as a decimal is -0.1635

where
-0.1635 is the difference between 3/8 and 7/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/13 from 3/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/8 minus 7/13.
1. LCM method
2. Cross multiplication method.

(3/8) - (7/13) using LCM Method:
What is 3/8 minus 7/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 7/13

What to be found?
(3/8) - (7/13) = ?
Find what's the difference between 3/8 and 7/13.

step 2 Compare the denominators of fractions 3/8 and 7/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/8 and 7/13 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 3/8 and 7/13:
The LCM of 8 and 13 is 104.

step 4 Write the fractions 3/8 and 7/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 - 7/13
= [(3 x 104)/(8 x 104)] - [(7 x 104)/(13 x 104)]

step 5 Simplify the expression to have common denominator:
= 39/104 - 56/104

step 6 Take the common values out and rewrite the above expression like the below:
= 1/104 x (39/1 - 56/1)
= 1/104 x (39 - 56)

step 7Simplify the above expression further:
= 1/104 x -17
= -17/104
3/8 - 7/13 = -17/104

Hence,
3/8 minus 7/13 as a fraction is -17/104.

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3/8 - 7/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 7/13

What to be found?
(3/8)-(7/13) = ?
Find what's the difference between 3/8 and 7/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 13), find the product of numerator of Fraction B and denominator of Fraction A (7 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 13) and rewrite the equation as like the below:
= (3 x 13) - (7 x 8)/(8 x 13)

step 3 Simplify and rewrite the fraction:
= (39 - 56)/104
3/8 - 7/13 = -17/104

Hence,
3/8 minus 7/13 in fraction is -17/104