17/1 + 15/7 as a fraction

Learn how to find what is 17/1 plus 15/7 in fraction form just in a few minutes. We have covered the easiest method to write 17/1 + 15/7 as a fraction and decimal.

Summary: 17/1 plus 15/7 = 134/7
Since both fractions have unequal denominators, 17/1 plus 15/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/1 and fraction 15/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 7. 7 is the LCM of 1 and 7. Multiplying the LCM 7 with the numerators and denominators of both fractions (17/1 x 7/7) + (15/7 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 17/1 is 119/7 and for 15/7 is 15/7. By simplifying this fraction addition 119/7 + 15/7, it becomes 134/7.

CALCULATION: 17/1 + 15/7 as a fraction
17/1 + 15/7 = (?)
17/1 + 15/7 = [(17 x 7) + (15 x 1)]/(1 x 7)
= (119 + 15)/7
= 134/7
17/1 + 15/7 = 134/7
17/1 plus 15/7 as a fraction is 134/7.

where
17/1 is a improper fraction as an addend,
15/7 is a improper fraction as an addend,
134/7 is the sum of 17/1 and 15/7.

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17/1 plus 15/7 as a decimal
17/1 + 15/7 = 134/7
134/7 = 19.1429
(17/1) + (15/7) as a decimal is 19.1429

where
19.1429 is the sum of 17/1 and 15/7.

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

(17/1) + (15/7) using LCM Method:
What is 17/1 plus 15/7 as a fraction?

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

What to be found?
(17/1) + (15/7) = ?
Find what's the sum of 17/1 and 15/7.

step 2 Compare the denominators of fractions 17/1 and 15/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/1 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 17/1 and 15/7:
The LCM of 1 and 7 is 7.

step 4 Write the fractions 17/1 and 15/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/1 + 15/7
= [(17 x 7)/(1 x 7)] + [(15 x 7)/(7 x 7)]

step 5 Simplify the expression to have common denominator:
= 119/7 + 15/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (119/1 + 15/1)
= 1/7 x (119 + 15)

step 7Simplify the above expression further:
= 1/7 x 134
= 134/7
17/1 + 15/7 = 134/7

Hence,
17/1 plus 15/7 as a fraction is 134/7.

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

What to be found?
(17/1)+(15/7) = ?
Find what's the sum of 17/1 and 15/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 7), find the product of numerator of Fraction B and denominator of Fraction A (15 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 7) and rewrite the equation as like the below:
= (17 x 7) + (15 x 1)/(1 x 7)

step 3 Simplify and rewrite the fraction:
= (119 + 15)/7
17/1 + 15/7 = 134/7

Hence,
17/1 plus 15/7 in fraction is 134/7