7/3 + 15/7 as a fraction

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

Summary: 7/3 plus 15/7 = 94/21
Since both fractions have unequal denominators, 7/3 plus 15/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 15/7 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 (7/3 x 21/21) + (15/7 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 49/21 and for 15/7 is 45/21. By simplifying this fraction addition 49/21 + 45/21, it becomes 94/21.

CALCULATION: 7/3 + 15/7 as a fraction
7/3 + 15/7 = (?)
7/3 + 15/7 = [(7 x 7) + (15 x 3)]/(3 x 7)
= (49 + 45)/21
= 94/21
7/3 + 15/7 = 94/21
7/3 plus 15/7 as a fraction is 94/21.

where
7/3 is a improper fraction as an addend,
15/7 is a improper fraction as an addend,
94/21 is the sum of 7/3 and 15/7.

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7/3 plus 15/7 as a decimal
7/3 + 15/7 = 94/21
94/21 = 4.4762
(7/3) + (15/7) as a decimal is 4.4762

where
4.4762 is the sum of 7/3 and 15/7.

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

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

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

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

step 2 Compare the denominators of fractions 7/3 and 15/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/3 and 15/7 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 7/3 and 15/7:
The LCM of 3 and 7 is 21.

step 4 Write the fractions 7/3 and 15/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 + 15/7
= [(7 x 21)/(3 x 21)] + [(15 x 21)/(7 x 21)]

step 5 Simplify the expression to have common denominator:
= 49/21 + 45/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (49/1 + 45/1)
= 1/21 x (49 + 45)

step 7Simplify the above expression further:
= 1/21 x 94
= 94/21
7/3 + 15/7 = 94/21

Hence,
7/3 plus 15/7 as a fraction is 94/21.

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

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

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

step 3 Simplify and rewrite the fraction:
= (49 + 45)/21
7/3 + 15/7 = 94/21

Hence,
7/3 plus 15/7 in fraction is 94/21