What is 8/7 - 13 in fraction?
8/7 - 13 equals to -83/7 in fraction form.
Learn how to find what is 8/7 minus 13 in fraction form just in a few minutes. We have covered the easiest method to write 8/7 - 13 as a fraction and decimal.
Summary: 8/7 minus 13 = -83/7
Since both fractions have unequal denominators, 8/7 minus 13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/7 and fraction 13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (8/7 x 7/7) - (13 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 8/7 is 8/7 and for 13 is 91/7. By simplifying this fraction subtraction 8/7 - 91/7, it becomes -83/7.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 13 from 8/7. use any one of the following methods to find the equivalent fraction for 8/7 minus 13.
1. LCM method
2. Cross multiplication method.
(8/7) - (13) using LCM Method:
What is 8/7 minus 13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 13/1
What to be found?
(8/7) - (13) = ?
Find what's the difference between 8/7 and 13.
step 2 Compare the denominators of fractions 8/7 and 13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/7 and 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 8/7 and 13:
The LCM of 7 and 1 is 7.
step 4 Write the fractions 8/7 and 13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/7 - 13
= [(8 x 7)/(7 x 7)] - [(13 x 7)/(1 x 7)]
step 5 Simplify the expression to have common denominator:
= 8/7 - 91/7
step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (8/1 - 91/1)
= 1/7 x (8 - 91)
step 7Simplify the above expression further:
= 1/7 x -83
= -83/7
8/7 - 13 = -83/7
Hence,
8/7 minus 13 as a fraction is -83/7.
8/7 - 13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 13/1
What to be found?
(8/7)-(13) = ?
Find what's the difference between 8/7 and 13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 1), 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 1) and rewrite the equation as like the below:
= (8 x 1) - (13 x 7)/(7 x 1)
step 3 Simplify and rewrite the fraction:
= (8 - 91)/7
8/7 - 13 = -83/7
Hence,
8/7 minus 13 in fraction is -83/7