10/13 + 16 as a fraction

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

Summary: 10/13 plus 16 = 218/13
Since both fractions have unequal denominators, 10/13 plus 16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/13 and fraction 16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 13 and 1. 13 is the LCM of 13 and 1. Multiplying the LCM 13 with the numerators and denominators of both fractions (10/13 x 13/13) + (16 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 10/13 is 10/13 and for 16 is 208/13. By simplifying this fraction addition 10/13 + 208/13, it becomes 218/13.

CALCULATION: 10/13 + 16 as a fraction
10/13 + 16 = (?)
10/13 + 16/1 = [(10 x 1) + (16 x 13)]/(13 x 1)
= (10 + 208)/13
= 218/13
10/13 + 16 = 218/13
10/13 plus 16 as a fraction is 218/13.

where
10/13 is a proper fraction as an addend,
16 is a whole number as an addend,
218/13 is the sum of 10/13 and 16.

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10/13 plus 16 as a decimal
10/13 + 16 = 218/13
218/13 = 16.7692
(10/13) + (16) as a decimal is 16.7692

where
16.7692 is the sum of 10/13 and 16.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/13 and 16 by adding fraction to a whole number . The sum in fraction form for 10/13 plus 16/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 10/13 and 16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/13 and 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 10/13 and 16:
The LCM of 13 and 1 is 13.

step 4 Write the fractions 10/13 and 16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/13 + 16
= [(10 x 13)/(13 x 13)] + [(16 x 13)/(1 x 13)]

step 5 Simplify the expression to have common denominator:
= 10/13 + 208/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (10/1 + 208/1)
= 1/13 x (10 + 208)

step 7Simplify the above expression further:
= 1/13 x 218
= 218/13
10/13 + 16 = 218/13

Hence,
10/13 plus 16 as a fraction is 218/13.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 1), find the product of numerator of Fraction B and denominator of Fraction A (16 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 1) and rewrite the equation as like the below:
= (10 x 1) + (16 x 13)/(13 x 1)

step 3 Simplify and rewrite the fraction:
= (10 + 208)/13
10/13 + 16 = 218/13

Hence,
10/13 plus 16 in fraction is 218/13