7/8 - 2/13 as a fraction

Learn how to find what is 7/8 minus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 - 2/13 as a fraction and decimal.

Summary: 7/8 minus 2/13 = 75/104
Since both fractions have unequal denominators, 7/8 minus 2/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 2/13 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 (7/8 x 104/104) - (2/13 x 104/104), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 91/104 and for 2/13 is 16/104. By simplifying this fraction subtraction 91/104 - 16/104, it becomes 75/104.

Pie Chart Representation: 7/8 - 2/13 = 75/104

CALCULATION: 7/8 - 2/13 as a fraction
7/8 - 2/13 = (?)
7/8 - 2/13 = [(7 x 13) - (2 x 8)]/(8 x 13)
= (91 - 16)/104
= 75/104
7/8 - 2/13 = 75/104
7/8 minus 2/13 as a fraction is 75/104.

where
7/8 is a proper fraction as a minuend,
2/13 is a proper fraction as a subtrahend,
75/104 is the difference between 7/8 and 2/13.

---

7/8 minus 2/13 as a decimal
7/8 - 2/13 = 75/104
75/104 = 0.7212
(7/8) - (2/13) as a decimal is 0.7212

where
0.7212 is the difference between 7/8 and 2/13.

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

(7/8) - (2/13) using LCM Method:
What is 7/8 minus 2/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 2/13

What to be found?
(7/8) - (2/13) = ?
Find what's the difference between 7/8 and 2/13.

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

step 4 Write the fractions 7/8 and 2/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 - 2/13
= [(7 x 104)/(8 x 104)] - [(2 x 104)/(13 x 104)]

step 5 Simplify the expression to have common denominator:
= 91/104 - 16/104

step 6 Take the common values out and rewrite the above expression like the below:
= 1/104 x (91/1 - 16/1)
= 1/104 x (91 - 16)

step 7Simplify the above expression further:
= 1/104 x 75
= 75/104
7/8 - 2/13 = 75/104

Hence,
7/8 minus 2/13 as a fraction is 75/104.

---

7/8 - 2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 2/13

What to be found?
(7/8)-(2/13) = ?
Find what's the difference between 7/8 and 2/13.

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 (2 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:
= (7 x 13) - (2 x 8)/(8 x 13)

step 3 Simplify and rewrite the fraction:
= (91 - 16)/104
7/8 - 2/13 = 75/104

Hence,
7/8 minus 2/13 in fraction is 75/104