16/3 + 8/7 as a fraction

Learn how to find what is 16/3 plus 8/7 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 + 8/7 as a fraction and decimal.

Summary: 16/3 plus 8/7 = 136/21
Since both fractions have unequal denominators, 16/3 plus 8/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 8/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 7. 21 is the LCM of 3 and 7. Multiplying the LCM 21 with the numerators and denominators of both fractions (16/3 x 21/21) + (8/7 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 112/21 and for 8/7 is 24/21. By simplifying this fraction addition 112/21 + 24/21, it becomes 136/21.

CALCULATION: 16/3 + 8/7 as a fraction
16/3 + 8/7 = (?)
16/3 + 8/7 = [(16 x 7) + (8 x 3)]/(3 x 7)
= (112 + 24)/21
= 136/21
16/3 + 8/7 = 136/21
16/3 plus 8/7 as a fraction is 136/21.

where
16/3 is a improper fraction as an addend,
8/7 is a improper fraction as an addend,
136/21 is the sum of 16/3 and 8/7.

---

16/3 plus 8/7 as a decimal
16/3 + 8/7 = 136/21
136/21 = 6.4762
(16/3) + (8/7) as a decimal is 6.4762

where
6.4762 is the sum of 16/3 and 8/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/3 and 8/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/3 plus 8/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/3) + (8/7) using LCM Method:
What is 16/3 plus 8/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 8/7

What to be found?
(16/3) + (8/7) = ?
Find what's the sum of 16/3 and 8/7.

step 2 Compare the denominators of fractions 16/3 and 8/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/3 and 8/7 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 8/7:
The LCM of 3 and 7 is 21.

step 4 Write the fractions 16/3 and 8/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 + 8/7
= [(16 x 21)/(3 x 21)] + [(8 x 21)/(7 x 21)]

step 5 Simplify the expression to have common denominator:
= 112/21 + 24/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (112/1 + 24/1)
= 1/21 x (112 + 24)

step 7Simplify the above expression further:
= 1/21 x 136
= 136/21
16/3 + 8/7 = 136/21

Hence,
16/3 plus 8/7 as a fraction is 136/21.

---

16/3 + 8/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 8/7

What to be found?
(16/3)+(8/7) = ?
Find what's the sum of 16/3 and 8/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 7), find the product of numerator of Fraction B and denominator of Fraction A (8 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 7) and rewrite the equation as like the below:
= (16 x 7) + (8 x 3)/(3 x 7)

step 3 Simplify and rewrite the fraction:
= (112 + 24)/21
16/3 + 8/7 = 136/21

Hence,
16/3 plus 8/7 in fraction is 136/21