7/3 + 16/15 as a fraction

Learn how to find what is 7/3 plus 16/15 in fraction form just in a few minutes. We have covered the easiest method to write 7/3 + 16/15 as a fraction and decimal.

Summary: 7/3 plus 16/15 = 17/5
Since both fractions have unequal denominators, 7/3 plus 16/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 16/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 15. 15 is the LCM of 3 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (7/3 x 15/15) + (16/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 35/15 and for 16/15 is 16/15. By simplifying this fraction addition 35/15 + 16/15, it becomes 51/15.

CALCULATION: 7/3 + 16/15 as a fraction
7/3 + 16/15 = (?)
7/3 + 16/15 = [(7 x 15) + (16 x 3)]/(3 x 15)
= (105 + 48)/45
= 153/45
= (9 x 17)/(9 x 5)
= 17/5
7/3 + 16/15 = 17/5
7/3 plus 16/15 as a fraction is 17/5.

where
7/3 is a improper fraction as an addend,
16/15 is a improper fraction as an addend,
17/5 is the sum of 7/3 and 16/15.

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7/3 plus 16/15 as a decimal
7/3 + 16/15 = 17/5
17/5 = 3.4
(7/3) + (16/15) as a decimal is 3.4

where
3.4 is the sum of 7/3 and 16/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/3 and 16/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/3 plus 16/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/3) + (16/15) using LCM Method:
What is 7/3 plus 16/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 16/15

What to be found?
(7/3) + (16/15) = ?
Find what's the sum of 7/3 and 16/15.

step 2 Compare the denominators of fractions 7/3 and 16/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/3 and 16/15 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 7/3 and 16/15:
The LCM of 3 and 15 is 15.

step 4 Write the fractions 7/3 and 16/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 + 16/15
= [(7 x 15)/(3 x 15)] + [(16 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 35/15 + 16/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (35/1 + 16/1)
= 1/15 x (35 + 16)

step 7Simplify the above expression further:
= 1/15 x 51
= 51/15
= 17/5
7/3 + 16/15 = 17/5

Hence,
7/3 plus 16/15 as a fraction is 17/5.

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7/3 + 16/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 16/15

What to be found?
(7/3)+(16/15) = ?
Find what's the sum of 7/3 and 16/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 15), find the product of numerator of Fraction B and denominator of Fraction A (16 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 15) and rewrite the equation as like the below:
= (7 x 15) + (16 x 3)/(3 x 15)

step 3 Simplify and rewrite the fraction:
= (105 + 48)/45
= 153/45
= 17/5
7/3 + 16/15 = 17/5

Hence,
7/3 plus 16/15 in fraction is 17/5