4/7 - 9/13 as a fraction

Learn how to find what is 4/7 minus 9/13 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 - 9/13 as a fraction and decimal.

Summary: 4/7 minus 9/13 = -11/91
Since both fractions have unequal denominators, 4/7 minus 9/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 9/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 13. 91 is the LCM of 7 and 13. Multiplying the LCM 91 with the numerators and denominators of both fractions (4/7 x 91/91) - (9/13 x 91/91), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 52/91 and for 9/13 is 63/91. By simplifying this fraction subtraction 52/91 - 63/91, it becomes -11/91.

CALCULATION: 4/7 - 9/13 as a fraction
4/7 - 9/13 = (?)
4/7 - 9/13 = [(4 x 13) - (9 x 7)]/(7 x 13)
= (52 - 63)/91
= -11/91
4/7 - 9/13 = -11/91
4/7 minus 9/13 as a fraction is -11/91.

where
4/7 is a proper fraction as a minuend,
9/13 is a proper fraction as a subtrahend,
-11/91 is the difference between 4/7 and 9/13.

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4/7 minus 9/13 as a decimal
4/7 - 9/13 = -11/91
-11/91 = -0.1209
(4/7) - (9/13) as a decimal is -0.1209

where
-0.1209 is the difference between 4/7 and 9/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/13 from 4/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/7 minus 9/13.
1. LCM method
2. Cross multiplication method.

(4/7) - (9/13) using LCM Method:
What is 4/7 minus 9/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 9/13

What to be found?
(4/7) - (9/13) = ?
Find what's the difference between 4/7 and 9/13.

step 2 Compare the denominators of fractions 4/7 and 9/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/7 and 9/13 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 4/7 and 9/13:
The LCM of 7 and 13 is 91.

step 4 Write the fractions 4/7 and 9/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 - 9/13
= [(4 x 91)/(7 x 91)] - [(9 x 91)/(13 x 91)]

step 5 Simplify the expression to have common denominator:
= 52/91 - 63/91

step 6 Take the common values out and rewrite the above expression like the below:
= 1/91 x (52/1 - 63/1)
= 1/91 x (52 - 63)

step 7Simplify the above expression further:
= 1/91 x -11
= -11/91
4/7 - 9/13 = -11/91

Hence,
4/7 minus 9/13 as a fraction is -11/91.

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4/7 - 9/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 9/13

What to be found?
(4/7)-(9/13) = ?
Find what's the difference between 4/7 and 9/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 13), find the product of numerator of Fraction B and denominator of Fraction A (9 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 13) and rewrite the equation as like the below:
= (4 x 13) - (9 x 7)/(7 x 13)

step 3 Simplify and rewrite the fraction:
= (52 - 63)/91
4/7 - 9/13 = -11/91

Hence,
4/7 minus 9/13 in fraction is -11/91