8/3 + 7/15 as a fraction

Learn how to find what is 8/3 plus 7/15 in fraction form just in a few minutes. We have covered the easiest method to write 8/3 + 7/15 as a fraction and decimal.

Summary: 8/3 plus 7/15 = 47/15
Since both fractions have unequal denominators, 8/3 plus 7/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/3 and fraction 7/15 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 (8/3 x 15/15) + (7/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 8/3 is 40/15 and for 7/15 is 7/15. By simplifying this fraction addition 40/15 + 7/15, it becomes 47/15.

CALCULATION: 8/3 + 7/15 as a fraction
8/3 + 7/15 = (?)
8/3 + 7/15 = [(8 x 15) + (7 x 3)]/(3 x 15)
= (120 + 21)/45
= 141/45
= (3 x 47)/(3 x 15)
= 47/15
8/3 + 7/15 = 47/15
8/3 plus 7/15 as a fraction is 47/15.

where
8/3 is a improper fraction as an addend,
7/15 is a proper fraction as an addend,
47/15 is the sum of 8/3 and 7/15.

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8/3 plus 7/15 as a decimal
8/3 + 7/15 = 47/15
47/15 = 3.1333
(8/3) + (7/15) as a decimal is 3.1333

where
3.1333 is the sum of 8/3 and 7/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/3 and 7/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/3 plus 7/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/3) + (7/15) using LCM Method:
What is 8/3 plus 7/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 7/15

What to be found?
(8/3) + (7/15) = ?
Find what's the sum of 8/3 and 7/15.

step 2 Compare the denominators of fractions 8/3 and 7/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/3 and 7/15 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 8/3 and 7/15:
The LCM of 3 and 15 is 15.

step 4 Write the fractions 8/3 and 7/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/3 + 7/15
= [(8 x 15)/(3 x 15)] + [(7 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 40/15 + 7/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (40/1 + 7/1)
= 1/15 x (40 + 7)

step 7Simplify the above expression further:
= 1/15 x 47
= 47/15
8/3 + 7/15 = 47/15

Hence,
8/3 plus 7/15 as a fraction is 47/15.

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8/3 + 7/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 7/15

What to be found?
(8/3)+(7/15) = ?
Find what's the sum of 8/3 and 7/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 15), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (8 x 15) + (7 x 3)/(3 x 15)

step 3 Simplify and rewrite the fraction:
= (120 + 21)/45
= 141/45
= 47/15
8/3 + 7/15 = 47/15

Hence,
8/3 plus 7/15 in fraction is 47/15