15/7 + 17/20 as a fraction

Learn how to find what is 15/7 plus 17/20 in fraction form just in a few minutes. We have covered the easiest method to write 15/7 + 17/20 as a fraction and decimal.

Summary: 15/7 plus 17/20 = 419/140
Since both fractions have unequal denominators, 15/7 plus 17/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/7 and fraction 17/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 20. 140 is the LCM of 7 and 20. Multiplying the LCM 140 with the numerators and denominators of both fractions (15/7 x 140/140) + (17/20 x 140/140), and simplify further in order to have the common denominator. So the equivalent fraction for 15/7 is 300/140 and for 17/20 is 119/140. By simplifying this fraction addition 300/140 + 119/140, it becomes 419/140.

CALCULATION: 15/7 + 17/20 as a fraction
15/7 + 17/20 = (?)
15/7 + 17/20 = [(15 x 20) + (17 x 7)]/(7 x 20)
= (300 + 119)/140
= 419/140
15/7 + 17/20 = 419/140
15/7 plus 17/20 as a fraction is 419/140.

where
15/7 is a improper fraction as an addend,
17/20 is a proper fraction as an addend,
419/140 is the sum of 15/7 and 17/20.

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15/7 plus 17/20 as a decimal
15/7 + 17/20 = 419/140
419/140 = 2.9929
(15/7) + (17/20) as a decimal is 2.9929

where
2.9929 is the sum of 15/7 and 17/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/7 and 17/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/7 plus 17/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/7) + (17/20) using LCM Method:
What is 15/7 plus 17/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/7
Fraction B: 17/20

What to be found?
(15/7) + (17/20) = ?
Find what's the sum of 15/7 and 17/20.

step 2 Compare the denominators of fractions 15/7 and 17/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/7 and 17/20 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 15/7 and 17/20:
The LCM of 7 and 20 is 140.

step 4 Write the fractions 15/7 and 17/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/7 + 17/20
= [(15 x 140)/(7 x 140)] + [(17 x 140)/(20 x 140)]

step 5 Simplify the expression to have common denominator:
= 300/140 + 119/140

step 6 Take the common values out and rewrite the above expression like the below:
= 1/140 x (300/1 + 119/1)
= 1/140 x (300 + 119)

step 7Simplify the above expression further:
= 1/140 x 419
= 419/140
15/7 + 17/20 = 419/140

Hence,
15/7 plus 17/20 as a fraction is 419/140.

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15/7 + 17/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/7
Fraction B: 17/20

What to be found?
(15/7)+(17/20) = ?
Find what's the sum of 15/7 and 17/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 20), find the product of numerator of Fraction B and denominator of Fraction A (17 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 20) and rewrite the equation as like the below:
= (15 x 20) + (17 x 7)/(7 x 20)

step 3 Simplify and rewrite the fraction:
= (300 + 119)/140
15/7 + 17/20 = 419/140

Hence,
15/7 plus 17/20 in fraction is 419/140