9/8 + 13 as a fraction

Learn how to find what is 9/8 plus 13 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 + 13 as a fraction and decimal.

Summary: 9/8 plus 13 = 113/8
Since both fractions have unequal denominators, 9/8 plus 13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 13 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 (9/8 x 8/8) + (13 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 9/8 and for 13 is 104/8. By simplifying this fraction addition 9/8 + 104/8, it becomes 113/8.

CALCULATION: 9/8 + 13 as a fraction
9/8 + 13 = (?)
9/8 + 13/1 = [(9 x 1) + (13 x 8)]/(8 x 1)
= (9 + 104)/8
= 113/8
9/8 + 13 = 113/8
9/8 plus 13 as a fraction is 113/8.

where
9/8 is a improper fraction as an addend,
13 is a whole number as an addend,
113/8 is the sum of 9/8 and 13.

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9/8 plus 13 as a decimal
9/8 + 13 = 113/8
113/8 = 14.125
(9/8) + (13) as a decimal is 14.125

where
14.125 is the sum of 9/8 and 13.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/8 and 13 by adding fraction to a whole number . The sum in fraction form for 9/8 plus 13/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/8) + (13) using LCM Method:
What is 9/8 plus 13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 13/1

What to be found?
(9/8) + (13) = ?
Find what's the sum of 9/8 and 13.

step 2 Compare the denominators of fractions 9/8 and 13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/8 and 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 9/8 and 13:
The LCM of 8 and 1 is 8.

step 4 Write the fractions 9/8 and 13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 + 13
= [(9 x 8)/(8 x 8)] + [(13 x 8)/(1 x 8)]

step 5 Simplify the expression to have common denominator:
= 9/8 + 104/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (9/1 + 104/1)
= 1/8 x (9 + 104)

step 7Simplify the above expression further:
= 1/8 x 113
= 113/8
9/8 + 13 = 113/8

Hence,
9/8 plus 13 as a fraction is 113/8.

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9/8 + 13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 13/1

What to be found?
(9/8)+(13) = ?
Find what's the sum of 9/8 and 13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 1), find the product of numerator of Fraction B and denominator of Fraction A (13 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:
= (9 x 1) + (13 x 8)/(8 x 1)

step 3 Simplify and rewrite the fraction:
= (9 + 104)/8
9/8 + 13 = 113/8

Hence,
9/8 plus 13 in fraction is 113/8