What is 13/8 + 7 in fraction?
13/8 + 7 equals to 69/8 in fraction form.
Learn how to find what is 13/8 plus 7 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 + 7 as a fraction and decimal.
Summary: 13/8 plus 7 = 69/8
Since both fractions have unequal denominators, 13/8 plus 7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (13/8 x 8/8) + (7 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 13/8 and for 7 is 56/8. By simplifying this fraction addition 13/8 + 56/8, it becomes 69/8.
The below workout with step by step calculation shows how to find the equivalent fraction between 13/8 and 7 by adding fraction to a whole number . The sum in fraction form for 13/8 plus 7/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(13/8) + (7) using LCM Method:
What is 13/8 plus 7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 7/1
What to be found?
(13/8) + (7) = ?
Find what's the sum of 13/8 and 7.
step 2 Compare the denominators of fractions 13/8 and 7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/8 and 7 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 13/8 and 7:
The LCM of 8 and 1 is 8.
step 4 Write the fractions 13/8 and 7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 7
= [(13 x 8)/(8 x 8)] + [(7 x 8)/(1 x 8)]
step 5 Simplify the expression to have common denominator:
= 13/8 + 56/8
step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (13/1 + 56/1)
= 1/8 x (13 + 56)
step 7Simplify the above expression further:
= 1/8 x 69
= 69/8
13/8 + 7 = 69/8
Hence,
13/8 plus 7 as a fraction is 69/8.
13/8 + 7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 7/1
What to be found?
(13/8)+(7) = ?
Find what's the sum of 13/8 and 7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (7 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (13 x 1) + (7 x 8)/(8 x 1)
step 3 Simplify and rewrite the fraction:
= (13 + 56)/8
13/8 + 7 = 69/8
Hence,
13/8 plus 7 in fraction is 69/8