8/9 + 13/16 as a fraction

Learn how to find what is 8/9 plus 13/16 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 + 13/16 as a fraction and decimal.

Summary: 8/9 plus 13/16 = 245/144
Since both fractions have unequal denominators, 8/9 plus 13/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/9 and fraction 13/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 16. 144 is the LCM of 9 and 16. Multiplying the LCM 144 with the numerators and denominators of both fractions (8/9 x 144/144) + (13/16 x 144/144), and simplify further in order to have the common denominator. So the equivalent fraction for 8/9 is 128/144 and for 13/16 is 117/144. By simplifying this fraction addition 128/144 + 117/144, it becomes 245/144.

CALCULATION: 8/9 + 13/16 as a fraction
8/9 + 13/16 = (?)
8/9 + 13/16 = [(8 x 16) + (13 x 9)]/(9 x 16)
= (128 + 117)/144
= 245/144
8/9 + 13/16 = 245/144
8/9 plus 13/16 as a fraction is 245/144.

where
8/9 is a proper fraction as an addend,
13/16 is a proper fraction as an addend,
245/144 is the sum of 8/9 and 13/16.

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8/9 plus 13/16 as a decimal
8/9 + 13/16 = 245/144
245/144 = 1.7014
(8/9) + (13/16) as a decimal is 1.7014

where
1.7014 is the sum of 8/9 and 13/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/9 and 13/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/9 plus 13/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/9) + (13/16) using LCM Method:
What is 8/9 plus 13/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 13/16

What to be found?
(8/9) + (13/16) = ?
Find what's the sum of 8/9 and 13/16.

step 2 Compare the denominators of fractions 8/9 and 13/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/9 and 13/16 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 8/9 and 13/16:
The LCM of 9 and 16 is 144.

step 4 Write the fractions 8/9 and 13/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/9 + 13/16
= [(8 x 144)/(9 x 144)] + [(13 x 144)/(16 x 144)]

step 5 Simplify the expression to have common denominator:
= 128/144 + 117/144

step 6 Take the common values out and rewrite the above expression like the below:
= 1/144 x (128/1 + 117/1)
= 1/144 x (128 + 117)

step 7Simplify the above expression further:
= 1/144 x 245
= 245/144
8/9 + 13/16 = 245/144

Hence,
8/9 plus 13/16 as a fraction is 245/144.

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8/9 + 13/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 13/16

What to be found?
(8/9)+(13/16) = ?
Find what's the sum of 8/9 and 13/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 16), find the product of numerator of Fraction B and denominator of Fraction A (13 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 16) and rewrite the equation as like the below:
= (8 x 16) + (13 x 9)/(9 x 16)

step 3 Simplify and rewrite the fraction:
= (128 + 117)/144
8/9 + 13/16 = 245/144

Hence,
8/9 plus 13/16 in fraction is 245/144