16/7 + 15/17 as a fraction

Learn how to find what is 16/7 plus 15/17 in fraction form just in a few minutes. We have covered the easiest method to write 16/7 + 15/17 as a fraction and decimal.

Summary: 16/7 plus 15/17 = 377/119
Since both fractions have unequal denominators, 16/7 plus 15/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 15/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 17. 119 is the LCM of 7 and 17. Multiplying the LCM 119 with the numerators and denominators of both fractions (16/7 x 119/119) + (15/17 x 119/119), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 272/119 and for 15/17 is 105/119. By simplifying this fraction addition 272/119 + 105/119, it becomes 377/119.

CALCULATION: 16/7 + 15/17 as a fraction
16/7 + 15/17 = (?)
16/7 + 15/17 = [(16 x 17) + (15 x 7)]/(7 x 17)
= (272 + 105)/119
= 377/119
16/7 + 15/17 = 377/119
16/7 plus 15/17 as a fraction is 377/119.

where
16/7 is a improper fraction as an addend,
15/17 is a proper fraction as an addend,
377/119 is the sum of 16/7 and 15/17.

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16/7 plus 15/17 as a decimal
16/7 + 15/17 = 377/119
377/119 = 3.1681
(16/7) + (15/17) as a decimal is 3.1681

where
3.1681 is the sum of 16/7 and 15/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/7 and 15/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/7 plus 15/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/7) + (15/17) using LCM Method:
What is 16/7 plus 15/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 15/17

What to be found?
(16/7) + (15/17) = ?
Find what's the sum of 16/7 and 15/17.

step 2 Compare the denominators of fractions 16/7 and 15/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/7 and 15/17 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 16/7 and 15/17:
The LCM of 7 and 17 is 119.

step 4 Write the fractions 16/7 and 15/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 + 15/17
= [(16 x 119)/(7 x 119)] + [(15 x 119)/(17 x 119)]

step 5 Simplify the expression to have common denominator:
= 272/119 + 105/119

step 6 Take the common values out and rewrite the above expression like the below:
= 1/119 x (272/1 + 105/1)
= 1/119 x (272 + 105)

step 7Simplify the above expression further:
= 1/119 x 377
= 377/119
16/7 + 15/17 = 377/119

Hence,
16/7 plus 15/17 as a fraction is 377/119.

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16/7 + 15/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 15/17

What to be found?
(16/7)+(15/17) = ?
Find what's the sum of 16/7 and 15/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 17), find the product of numerator of Fraction B and denominator of Fraction A (15 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 17) and rewrite the equation as like the below:
= (16 x 17) + (15 x 7)/(7 x 17)

step 3 Simplify and rewrite the fraction:
= (272 + 105)/119
16/7 + 15/17 = 377/119

Hence,
16/7 plus 15/17 in fraction is 377/119