17/6 + 13/7 as a fraction

Learn how to find what is 17/6 plus 13/7 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 13/7 as a fraction and decimal.

Summary: 17/6 plus 13/7 = 197/42
Since both fractions have unequal denominators, 17/6 plus 13/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 13/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 7. 42 is the LCM of 6 and 7. Multiplying the LCM 42 with the numerators and denominators of both fractions (17/6 x 42/42) + (13/7 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 119/42 and for 13/7 is 78/42. By simplifying this fraction addition 119/42 + 78/42, it becomes 197/42.

CALCULATION: 17/6 + 13/7 as a fraction
17/6 + 13/7 = (?)
17/6 + 13/7 = [(17 x 7) + (13 x 6)]/(6 x 7)
= (119 + 78)/42
= 197/42
17/6 + 13/7 = 197/42
17/6 plus 13/7 as a fraction is 197/42.

where
17/6 is a improper fraction as an addend,
13/7 is a improper fraction as an addend,
197/42 is the sum of 17/6 and 13/7.

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17/6 plus 13/7 as a decimal
17/6 + 13/7 = 197/42
197/42 = 4.6905
(17/6) + (13/7) as a decimal is 4.6905

where
4.6905 is the sum of 17/6 and 13/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 13/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/6 plus 13/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/6) + (13/7) using LCM Method:
What is 17/6 plus 13/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 13/7

What to be found?
(17/6) + (13/7) = ?
Find what's the sum of 17/6 and 13/7.

step 2 Compare the denominators of fractions 17/6 and 13/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 and 13/7 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 17/6 and 13/7:
The LCM of 6 and 7 is 42.

step 4 Write the fractions 17/6 and 13/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 13/7
= [(17 x 42)/(6 x 42)] + [(13 x 42)/(7 x 42)]

step 5 Simplify the expression to have common denominator:
= 119/42 + 78/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (119/1 + 78/1)
= 1/42 x (119 + 78)

step 7Simplify the above expression further:
= 1/42 x 197
= 197/42
17/6 + 13/7 = 197/42

Hence,
17/6 plus 13/7 as a fraction is 197/42.

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17/6 + 13/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 13/7

What to be found?
(17/6)+(13/7) = ?
Find what's the sum of 17/6 and 13/7.

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 (13 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the below:
= (17 x 7) + (13 x 6)/(6 x 7)

step 3 Simplify and rewrite the fraction:
= (119 + 78)/42
17/6 + 13/7 = 197/42

Hence,
17/6 plus 13/7 in fraction is 197/42