16/7 + 5/3 as a fraction

Learn how to find what is 16/7 plus 5/3 in fraction form just in a few minutes. We have covered the easiest method to write 16/7 + 5/3 as a fraction and decimal.

Summary: 16/7 plus 5/3 = 83/21
Since both fractions have unequal denominators, 16/7 plus 5/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 5/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 3. 21 is the LCM of 7 and 3. Multiplying the LCM 21 with the numerators and denominators of both fractions (16/7 x 21/21) + (5/3 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 48/21 and for 5/3 is 35/21. By simplifying this fraction addition 48/21 + 35/21, it becomes 83/21.

CALCULATION: 16/7 + 5/3 as a fraction
16/7 + 5/3 = (?)
16/7 + 5/3 = [(16 x 3) + (5 x 7)]/(7 x 3)
= (48 + 35)/21
= 83/21
16/7 + 5/3 = 83/21
16/7 plus 5/3 as a fraction is 83/21.

where
16/7 is a improper fraction as an addend,
5/3 is a improper fraction as an addend,
83/21 is the sum of 16/7 and 5/3.

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16/7 plus 5/3 as a decimal
16/7 + 5/3 = 83/21
83/21 = 3.9524
(16/7) + (5/3) as a decimal is 3.9524

where
3.9524 is the sum of 16/7 and 5/3.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/7 and 5/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/7 plus 5/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/7) + (5/3) using LCM Method:
What is 16/7 plus 5/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 5/3

What to be found?
(16/7) + (5/3) = ?
Find what's the sum of 16/7 and 5/3.

step 2 Compare the denominators of fractions 16/7 and 5/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/7 and 5/3 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 16/7 and 5/3:
The LCM of 7 and 3 is 21.

step 4 Write the fractions 16/7 and 5/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 + 5/3
= [(16 x 21)/(7 x 21)] + [(5 x 21)/(3 x 21)]

step 5 Simplify the expression to have common denominator:
= 48/21 + 35/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (48/1 + 35/1)
= 1/21 x (48 + 35)

step 7Simplify the above expression further:
= 1/21 x 83
= 83/21
16/7 + 5/3 = 83/21

Hence,
16/7 plus 5/3 as a fraction is 83/21.

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16/7 + 5/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 5/3

What to be found?
(16/7)+(5/3) = ?
Find what's the sum of 16/7 and 5/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 3), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 3) and rewrite the equation as like the below:
= (16 x 3) + (5 x 7)/(7 x 3)

step 3 Simplify and rewrite the fraction:
= (48 + 35)/21
16/7 + 5/3 = 83/21

Hence,
16/7 plus 5/3 in fraction is 83/21