5/6 + 10/17 as a fraction

Learn how to find what is 5/6 plus 10/17 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 + 10/17 as a fraction and decimal.

Summary: 5/6 plus 10/17 = 145/102
Since both fractions have unequal denominators, 5/6 plus 10/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 10/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 17. 102 is the LCM of 6 and 17. Multiplying the LCM 102 with the numerators and denominators of both fractions (5/6 x 102/102) + (10/17 x 102/102), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 85/102 and for 10/17 is 60/102. By simplifying this fraction addition 85/102 + 60/102, it becomes 145/102.

CALCULATION: 5/6 + 10/17 as a fraction
5/6 + 10/17 = (?)
5/6 + 10/17 = [(5 x 17) + (10 x 6)]/(6 x 17)
= (85 + 60)/102
= 145/102
5/6 + 10/17 = 145/102
5/6 plus 10/17 as a fraction is 145/102.

where
5/6 is a proper fraction as an addend,
10/17 is a proper fraction as an addend,
145/102 is the sum of 5/6 and 10/17.

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5/6 plus 10/17 as a decimal
5/6 + 10/17 = 145/102
145/102 = 1.4216
(5/6) + (10/17) as a decimal is 1.4216

where
1.4216 is the sum of 5/6 and 10/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 10/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/6 plus 10/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/6) + (10/17) using LCM Method:
What is 5/6 plus 10/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 10/17

What to be found?
(5/6) + (10/17) = ?
Find what's the sum of 5/6 and 10/17.

step 2 Compare the denominators of fractions 5/6 and 10/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 10/17 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 5/6 and 10/17:
The LCM of 6 and 17 is 102.

step 4 Write the fractions 5/6 and 10/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 + 10/17
= [(5 x 102)/(6 x 102)] + [(10 x 102)/(17 x 102)]

step 5 Simplify the expression to have common denominator:
= 85/102 + 60/102

step 6 Take the common values out and rewrite the above expression like the below:
= 1/102 x (85/1 + 60/1)
= 1/102 x (85 + 60)

step 7Simplify the above expression further:
= 1/102 x 145
= 145/102
5/6 + 10/17 = 145/102

Hence,
5/6 plus 10/17 as a fraction is 145/102.

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5/6 + 10/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 10/17

What to be found?
(5/6)+(10/17) = ?
Find what's the sum of 5/6 and 10/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 17), find the product of numerator of Fraction B and denominator of Fraction A (10 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 17) and rewrite the equation as like the below:
= (5 x 17) + (10 x 6)/(6 x 17)

step 3 Simplify and rewrite the fraction:
= (85 + 60)/102
5/6 + 10/17 = 145/102

Hence,
5/6 plus 10/17 in fraction is 145/102