17/8 + 13/12 as a fraction

Learn how to find what is 17/8 plus 13/12 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 + 13/12 as a fraction and decimal.

Summary: 17/8 plus 13/12 = 77/24
Since both fractions have unequal denominators, 17/8 plus 13/12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 13/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 12. 24 is the LCM of 8 and 12. Multiplying the LCM 24 with the numerators and denominators of both fractions (17/8 x 24/24) + (13/12 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 51/24 and for 13/12 is 26/24. By simplifying this fraction addition 51/24 + 26/24, it becomes 77/24.

CALCULATION: 17/8 + 13/12 as a fraction
17/8 + 13/12 = (?)
17/8 + 13/12 = [(17 x 12) + (13 x 8)]/(8 x 12)
= (204 + 104)/96
= 308/96
= (4 x 77)/(4 x 24)
= 77/24
17/8 + 13/12 = 77/24
17/8 plus 13/12 as a fraction is 77/24.

where
17/8 is a improper fraction as an addend,
13/12 is a improper fraction as an addend,
77/24 is the sum of 17/8 and 13/12.

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17/8 plus 13/12 as a decimal
17/8 + 13/12 = 77/24
77/24 = 3.2083
(17/8) + (13/12) as a decimal is 3.2083

where
3.2083 is the sum of 17/8 and 13/12.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/8 and 13/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/8 plus 13/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/8) + (13/12) using LCM Method:
What is 17/8 plus 13/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 13/12

What to be found?
(17/8) + (13/12) = ?
Find what's the sum of 17/8 and 13/12.

step 2 Compare the denominators of fractions 17/8 and 13/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/8 and 13/12 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 17/8 and 13/12:
The LCM of 8 and 12 is 24.

step 4 Write the fractions 17/8 and 13/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 + 13/12
= [(17 x 24)/(8 x 24)] + [(13 x 24)/(12 x 24)]

step 5 Simplify the expression to have common denominator:
= 51/24 + 26/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (51/1 + 26/1)
= 1/24 x (51 + 26)

step 7Simplify the above expression further:
= 1/24 x 77
= 77/24
17/8 + 13/12 = 77/24

Hence,
17/8 plus 13/12 as a fraction is 77/24.

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17/8 + 13/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 13/12

What to be found?
(17/8)+(13/12) = ?
Find what's the sum of 17/8 and 13/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 12), find the product of numerator of Fraction B and denominator of Fraction A (13 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 12) and rewrite the equation as like the below:
= (17 x 12) + (13 x 8)/(8 x 12)

step 3 Simplify and rewrite the fraction:
= (204 + 104)/96
= 308/96
= 77/24
17/8 + 13/12 = 77/24

Hence,
17/8 plus 13/12 in fraction is 77/24