7/3 - 8/13 as a fraction

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

Summary: 7/3 minus 8/13 = 67/39
Since both fractions have unequal denominators, 7/3 minus 8/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 8/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 13. 39 is the LCM of 3 and 13. Multiplying the LCM 39 with the numerators and denominators of both fractions (7/3 x 39/39) - (8/13 x 39/39), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 91/39 and for 8/13 is 24/39. By simplifying this fraction subtraction 91/39 - 24/39, it becomes 67/39.

CALCULATION: 7/3 - 8/13 as a fraction
7/3 - 8/13 = (?)
7/3 - 8/13 = [(7 x 13) - (8 x 3)]/(3 x 13)
= (91 - 24)/39
= 67/39
7/3 - 8/13 = 67/39
7/3 minus 8/13 as a fraction is 67/39.

where
7/3 is a improper fraction as a minuend,
8/13 is a proper fraction as a subtrahend,
67/39 is the difference between 7/3 and 8/13.

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7/3 minus 8/13 as a decimal
7/3 - 8/13 = 67/39
67/39 = 1.7179
(7/3) - (8/13) as a decimal is 1.7179

where
1.7179 is the difference between 7/3 and 8/13.

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

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

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

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

step 2 Compare the denominators of fractions 7/3 and 8/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/3 and 8/13 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 7/3 and 8/13:
The LCM of 3 and 13 is 39.

step 4 Write the fractions 7/3 and 8/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 - 8/13
= [(7 x 39)/(3 x 39)] - [(8 x 39)/(13 x 39)]

step 5 Simplify the expression to have common denominator:
= 91/39 - 24/39

step 6 Take the common values out and rewrite the above expression like the below:
= 1/39 x (91/1 - 24/1)
= 1/39 x (91 - 24)

step 7Simplify the above expression further:
= 1/39 x 67
= 67/39
7/3 - 8/13 = 67/39

Hence,
7/3 minus 8/13 as a fraction is 67/39.

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

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

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

step 3 Simplify and rewrite the fraction:
= (91 - 24)/39
7/3 - 8/13 = 67/39

Hence,
7/3 minus 8/13 in fraction is 67/39