17/7 + 5/6 as a fraction

Learn how to find what is 17/7 plus 5/6 in fraction form just in a few minutes. We have covered the easiest method to write 17/7 + 5/6 as a fraction and decimal.

Summary: 17/7 plus 5/6 = 137/42
Since both fractions have unequal denominators, 17/7 plus 5/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/7 and fraction 5/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 6. 42 is the LCM of 7 and 6. Multiplying the LCM 42 with the numerators and denominators of both fractions (17/7 x 42/42) + (5/6 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 17/7 is 102/42 and for 5/6 is 35/42. By simplifying this fraction addition 102/42 + 35/42, it becomes 137/42.

CALCULATION: 17/7 + 5/6 as a fraction
17/7 + 5/6 = (?)
17/7 + 5/6 = [(17 x 6) + (5 x 7)]/(7 x 6)
= (102 + 35)/42
= 137/42
17/7 + 5/6 = 137/42
17/7 plus 5/6 as a fraction is 137/42.

where
17/7 is a improper fraction as an addend,
5/6 is a proper fraction as an addend,
137/42 is the sum of 17/7 and 5/6.

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17/7 plus 5/6 as a decimal
17/7 + 5/6 = 137/42
137/42 = 3.2619
(17/7) + (5/6) as a decimal is 3.2619

where
3.2619 is the sum of 17/7 and 5/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/7 and 5/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/7 plus 5/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/7) + (5/6) using LCM Method:
What is 17/7 plus 5/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 5/6

What to be found?
(17/7) + (5/6) = ?
Find what's the sum of 17/7 and 5/6.

step 2 Compare the denominators of fractions 17/7 and 5/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/7 and 5/6 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 17/7 and 5/6:
The LCM of 7 and 6 is 42.

step 4 Write the fractions 17/7 and 5/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/7 + 5/6
= [(17 x 42)/(7 x 42)] + [(5 x 42)/(6 x 42)]

step 5 Simplify the expression to have common denominator:
= 102/42 + 35/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (102/1 + 35/1)
= 1/42 x (102 + 35)

step 7Simplify the above expression further:
= 1/42 x 137
= 137/42
17/7 + 5/6 = 137/42

Hence,
17/7 plus 5/6 as a fraction is 137/42.

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17/7 + 5/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 5/6

What to be found?
(17/7)+(5/6) = ?
Find what's the sum of 17/7 and 5/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 6) and rewrite the equation as like the below:
= (17 x 6) + (5 x 7)/(7 x 6)

step 3 Simplify and rewrite the fraction:
= (102 + 35)/42
17/7 + 5/6 = 137/42

Hence,
17/7 plus 5/6 in fraction is 137/42