10/7 + 7/15 as a fraction

Learn how to find what is 10/7 plus 7/15 in fraction form just in a few minutes. We have covered the easiest method to write 10/7 + 7/15 as a fraction and decimal.

Summary: 10/7 plus 7/15 = 199/105
Since both fractions have unequal denominators, 10/7 plus 7/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/7 and fraction 7/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 15. 105 is the LCM of 7 and 15. Multiplying the LCM 105 with the numerators and denominators of both fractions (10/7 x 105/105) + (7/15 x 105/105), and simplify further in order to have the common denominator. So the equivalent fraction for 10/7 is 150/105 and for 7/15 is 49/105. By simplifying this fraction addition 150/105 + 49/105, it becomes 199/105.

CALCULATION: 10/7 + 7/15 as a fraction
10/7 + 7/15 = (?)
10/7 + 7/15 = [(10 x 15) + (7 x 7)]/(7 x 15)
= (150 + 49)/105
= 199/105
10/7 + 7/15 = 199/105
10/7 plus 7/15 as a fraction is 199/105.

where
10/7 is a improper fraction as an addend,
7/15 is a proper fraction as an addend,
199/105 is the sum of 10/7 and 7/15.

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10/7 plus 7/15 as a decimal
10/7 + 7/15 = 199/105
199/105 = 1.8952
(10/7) + (7/15) as a decimal is 1.8952

where
1.8952 is the sum of 10/7 and 7/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/7 and 7/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/7 plus 7/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/7) + (7/15) using LCM Method:
What is 10/7 plus 7/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 7/15

What to be found?
(10/7) + (7/15) = ?
Find what's the sum of 10/7 and 7/15.

step 2 Compare the denominators of fractions 10/7 and 7/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/7 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 10/7 and 7/15:
The LCM of 7 and 15 is 105.

step 4 Write the fractions 10/7 and 7/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/7 + 7/15
= [(10 x 105)/(7 x 105)] + [(7 x 105)/(15 x 105)]

step 5 Simplify the expression to have common denominator:
= 150/105 + 49/105

step 6 Take the common values out and rewrite the above expression like the below:
= 1/105 x (150/1 + 49/1)
= 1/105 x (150 + 49)

step 7Simplify the above expression further:
= 1/105 x 199
= 199/105
10/7 + 7/15 = 199/105

Hence,
10/7 plus 7/15 as a fraction is 199/105.

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10/7 + 7/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 7/15

What to be found?
(10/7)+(7/15) = ?
Find what's the sum of 10/7 and 7/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 15), find the product of numerator of Fraction B and denominator of Fraction A (7 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 15) and rewrite the equation as like the below:
= (10 x 15) + (7 x 7)/(7 x 15)

step 3 Simplify and rewrite the fraction:
= (150 + 49)/105
10/7 + 7/15 = 199/105

Hence,
10/7 plus 7/15 in fraction is 199/105