13/7 - 13/4 as a fraction

Learn how to find what is 13/7 minus 13/4 in fraction form just in a few minutes. We have covered the easiest method to write 13/7 - 13/4 as a fraction and decimal.

Summary: 13/7 minus 13/4 = -39/28
Since both fractions have unequal denominators, 13/7 minus 13/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/7 and fraction 13/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 4. 28 is the LCM of 7 and 4. Multiplying the LCM 28 with the numerators and denominators of both fractions (13/7 x 28/28) - (13/4 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 13/7 is 52/28 and for 13/4 is 91/28. By simplifying this fraction subtraction 52/28 - 91/28, it becomes -39/28.

CALCULATION: 13/7 - 13/4 as a fraction
13/7 - 13/4 = (?)
13/7 - 13/4 = [(13 x 4) - (13 x 7)]/(7 x 4)
= (52 - 91)/28
= -39/28
13/7 - 13/4 = -39/28
13/7 minus 13/4 as a fraction is -39/28.

where
13/7 is a improper fraction as a minuend,
13/4 is a improper fraction as a subtrahend,
-39/28 is the difference between 13/7 and 13/4.

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13/7 minus 13/4 as a decimal
13/7 - 13/4 = -39/28
-39/28 = -1.3929
(13/7) - (13/4) as a decimal is -1.3929

where
-1.3929 is the difference between 13/7 and 13/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/4 from 13/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/7 minus 13/4.
1. LCM method
2. Cross multiplication method.

(13/7) - (13/4) using LCM Method:
What is 13/7 minus 13/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/7
Fraction B: 13/4

What to be found?
(13/7) - (13/4) = ?
Find what's the difference between 13/7 and 13/4.

step 2 Compare the denominators of fractions 13/7 and 13/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/7 and 13/4 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 13/7 and 13/4:
The LCM of 7 and 4 is 28.

step 4 Write the fractions 13/7 and 13/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/7 - 13/4
= [(13 x 28)/(7 x 28)] - [(13 x 28)/(4 x 28)]

step 5 Simplify the expression to have common denominator:
= 52/28 - 91/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (52/1 - 91/1)
= 1/28 x (52 - 91)

step 7Simplify the above expression further:
= 1/28 x -39
= -39/28
13/7 - 13/4 = -39/28

Hence,
13/7 minus 13/4 as a fraction is -39/28.

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13/7 - 13/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/7
Fraction B: 13/4

What to be found?
(13/7)-(13/4) = ?
Find what's the difference between 13/7 and 13/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 4), find the product of numerator of Fraction B and denominator of Fraction A (13 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 4) and rewrite the equation as like the below:
= (13 x 4) - (13 x 7)/(7 x 4)

step 3 Simplify and rewrite the fraction:
= (52 - 91)/28
13/7 - 13/4 = -39/28

Hence,
13/7 minus 13/4 in fraction is -39/28