16/3 + 5 as a fraction

Learn how to find what is 16/3 plus 5 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 + 5 as a fraction and decimal.

Summary: 16/3 plus 5 = 31/3
Since both fractions have unequal denominators, 16/3 plus 5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 1. 3 is the LCM of 3 and 1. Multiplying the LCM 3 with the numerators and denominators of both fractions (16/3 x 3/3) + (5 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 16/3 and for 5 is 15/3. By simplifying this fraction addition 16/3 + 15/3, it becomes 31/3.

CALCULATION: 16/3 + 5 as a fraction
16/3 + 5 = (?)
16/3 + 5/1 = [(16 x 1) + (5 x 3)]/(3 x 1)
= (16 + 15)/3
= 31/3
16/3 + 5 = 31/3
16/3 plus 5 as a fraction is 31/3.

where
16/3 is a improper fraction as an addend,
5 is a whole number as an addend,
31/3 is the sum of 16/3 and 5.

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16/3 plus 5 as a decimal
16/3 + 5 = 31/3
31/3 = 10.3333
(16/3) + (5) as a decimal is 10.3333

where
10.3333 is the sum of 16/3 and 5.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/3 and 5 by adding fraction to a whole number . The sum in fraction form for 16/3 plus 5/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/3) + (5) using LCM Method:
What is 16/3 plus 5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 5/1

What to be found?
(16/3) + (5) = ?
Find what's the sum of 16/3 and 5.

step 2 Compare the denominators of fractions 16/3 and 5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/3 and 5 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 16/3 and 5:
The LCM of 3 and 1 is 3.

step 4 Write the fractions 16/3 and 5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 + 5
= [(16 x 3)/(3 x 3)] + [(5 x 3)/(1 x 3)]

step 5 Simplify the expression to have common denominator:
= 16/3 + 15/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (16/1 + 15/1)
= 1/3 x (16 + 15)

step 7Simplify the above expression further:
= 1/3 x 31
= 31/3
16/3 + 5 = 31/3

Hence,
16/3 plus 5 as a fraction is 31/3.

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16/3 + 5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 5/1

What to be found?
(16/3)+(5) = ?
Find what's the sum of 16/3 and 5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (16 x 1) + (5 x 3)/(3 x 1)

step 3 Simplify and rewrite the fraction:
= (16 + 15)/3
16/3 + 5 = 31/3

Hence,
16/3 plus 5 in fraction is 31/3