9/10 + 13/16 as a fraction

Learn how to find what is 9/10 plus 13/16 in fraction form just in a few minutes. We have covered the easiest method to write 9/10 + 13/16 as a fraction and decimal.

Summary: 9/10 plus 13/16 = 137/80
Since both fractions have unequal denominators, 9/10 plus 13/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/10 and fraction 13/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 10 and 16. 80 is the LCM of 10 and 16. Multiplying the LCM 80 with the numerators and denominators of both fractions (9/10 x 80/80) + (13/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 9/10 is 72/80 and for 13/16 is 65/80. By simplifying this fraction addition 72/80 + 65/80, it becomes 137/80.

CALCULATION: 9/10 + 13/16 as a fraction
9/10 + 13/16 = (?)
9/10 + 13/16 = [(9 x 16) + (13 x 10)]/(10 x 16)
= (144 + 130)/160
= 274/160
= (2 x 137)/(2 x 80)
= 137/80
9/10 + 13/16 = 137/80
9/10 plus 13/16 as a fraction is 137/80.

where
9/10 is a proper fraction as an addend,
13/16 is a proper fraction as an addend,
137/80 is the sum of 9/10 and 13/16.

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9/10 plus 13/16 as a decimal
9/10 + 13/16 = 137/80
137/80 = 1.7125
(9/10) + (13/16) as a decimal is 1.7125

where
1.7125 is the sum of 9/10 and 13/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/10 and 13/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/10 plus 13/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/10) + (13/16) using LCM Method:
What is 9/10 plus 13/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 13/16

What to be found?
(9/10) + (13/16) = ?
Find what's the sum of 9/10 and 13/16.

step 2 Compare the denominators of fractions 9/10 and 13/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/10 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 9/10 and 13/16:
The LCM of 10 and 16 is 80.

step 4 Write the fractions 9/10 and 13/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/10 + 13/16
= [(9 x 80)/(10 x 80)] + [(13 x 80)/(16 x 80)]

step 5 Simplify the expression to have common denominator:
= 72/80 + 65/80

step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (72/1 + 65/1)
= 1/80 x (72 + 65)

step 7Simplify the above expression further:
= 1/80 x 137
= 137/80
9/10 + 13/16 = 137/80

Hence,
9/10 plus 13/16 as a fraction is 137/80.

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9/10 + 13/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 13/16

What to be found?
(9/10)+(13/16) = ?
Find what's the sum of 9/10 and 13/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 16), find the product of numerator of Fraction B and denominator of Fraction A (13 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 16) and rewrite the equation as like the below:
= (9 x 16) + (13 x 10)/(10 x 16)

step 3 Simplify and rewrite the fraction:
= (144 + 130)/160
= 274/160
= 137/80
9/10 + 13/16 = 137/80

Hence,
9/10 plus 13/16 in fraction is 137/80