What is 5/7 plus 8/13 in fraction?
5/7 plus 8/13 equals to 121/91 in fraction form.
Learn how to find what is 5/7 plus 8/13 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 8/13 as a fraction and decimal.
Summary: 5/7 plus 8/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/7 and 8/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 91 is the LCM of 7 and 13. Multiply the LCM 91 with all the numerators and denominators of both fractions (5/7 x 91/91) + (8/13 x 91/91) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 121/91.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 8/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 8/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/7+8/13 using LCM Method:
What is 5/7 plus 8/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 8/13
What to be found?
5/7+8/13 = ?
Find what's the sum of 5/7 and 8/13.
step 2 Compare the denominators of fractions 5/7 and 8/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 8/13 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 5/7 and 8/13:
The LCM of 7 and 13 is 91.
step 4 Write the fractions 5/7 and 8/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/7+8/13
=(5 x 91)/(7 x 91)+(8 x 91)/(13 x 91)
step 5 Simplify the expression to have common denominator:
=65/91+56/91
step 6 Take the common values out and rewrite the above expression like the below:
=1/91 x (65/1+56/1)
=1/91 x (65 + 56)
step 7Simplify the above expression further:
=1/91 x 121
=121/91
5/7+8/13=121/91
Hence,
5/7 plus 8/13 equals to 121/91 in fraction.
5/7+8/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 8/13
What to be found?
5/7+8/13 = ?
Find what's the sum of 5/7 and 8/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 13), find the product of numerator of Fraction B and denominator of Fraction A (8 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:
= (5 x 13) + (8 x 7)/(7 x 13)
step 3 Simplify and rewrite the fraction:
= (65 + 56)/91
5/7+8/13 = 121/91
Hence,
5/7 plus 8/13 = 121/91