What is 8 - 11/13 in fraction?
8 - 11/13 equals to 93/13 in fraction form.
Learn how to find what is 8 minus 11/13 in fraction form just in a few minutes. We have covered the easiest method to write 8 - 11/13 as a fraction and decimal.
Summary: 8 minus 11/13 = 93/13
Since both fractions have unequal denominators, 8 minus 11/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8 and fraction 11/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (8 x 13/13) - (11/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 8 is 104/13 and for 11/13 is 11/13. By simplifying this fraction subtraction 104/13 - 11/13, it becomes 93/13.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/13 from 8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8 minus 11/13.
1. LCM method
2. Cross multiplication method.
(8) - (11/13) using LCM Method:
What is 8 minus 11/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 11/13
What to be found?
(8) - (11/13) = ?
Find what's the difference between 8 and 11/13.
step 2 Compare the denominators of fractions 8 and 11/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8 and 11/13 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 8 and 11/13:
The LCM of 1 and 13 is 13.
step 4 Write the fractions 8 and 11/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8 - 11/13
= [(8 x 13)/(1 x 13)] - [(11 x 13)/(13 x 13)]
step 5 Simplify the expression to have common denominator:
= 104/13 - 11/13
step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (104/1 - 11/1)
= 1/13 x (104 - 11)
step 7Simplify the above expression further:
= 1/13 x 93
= 93/13
8 - 11/13 = 93/13
Hence,
8 minus 11/13 as a fraction is 93/13.
8 - 11/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 11/13
What to be found?
(8)-(11/13) = ?
Find what's the difference between 8 and 11/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 13), find the product of numerator of Fraction B and denominator of Fraction A (11 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 13) and rewrite the equation as like the below:
= (8 x 13) - (11 x 1)/(1 x 13)
step 3 Simplify and rewrite the fraction:
= (104 - 11)/13
8 - 11/13 = 93/13
Hence,
8 minus 11/13 in fraction is 93/13