17/8 + 4/5 as a fraction

Learn how to find what is 17/8 plus 4/5 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 + 4/5 as a fraction and decimal.

Summary: 17/8 plus 4/5 = 117/40
Since both fractions have unequal denominators, 17/8 plus 4/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 4/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 5. 40 is the LCM of 8 and 5. Multiplying the LCM 40 with the numerators and denominators of both fractions (17/8 x 40/40) + (4/5 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 85/40 and for 4/5 is 32/40. By simplifying this fraction addition 85/40 + 32/40, it becomes 117/40.

CALCULATION: 17/8 + 4/5 as a fraction
17/8 + 4/5 = (?)
17/8 + 4/5 = [(17 x 5) + (4 x 8)]/(8 x 5)
= (85 + 32)/40
= 117/40
17/8 + 4/5 = 117/40
17/8 plus 4/5 as a fraction is 117/40.

where
17/8 is a improper fraction as an addend,
4/5 is a proper fraction as an addend,
117/40 is the sum of 17/8 and 4/5.

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17/8 plus 4/5 as a decimal
17/8 + 4/5 = 117/40
117/40 = 2.925
(17/8) + (4/5) as a decimal is 2.925

where
2.925 is the sum of 17/8 and 4/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/8 and 4/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/8 plus 4/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/8) + (4/5) using LCM Method:
What is 17/8 plus 4/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 4/5

What to be found?
(17/8) + (4/5) = ?
Find what's the sum of 17/8 and 4/5.

step 2 Compare the denominators of fractions 17/8 and 4/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/8 and 4/5 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 4/5:
The LCM of 8 and 5 is 40.

step 4 Write the fractions 17/8 and 4/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 + 4/5
= [(17 x 40)/(8 x 40)] + [(4 x 40)/(5 x 40)]

step 5 Simplify the expression to have common denominator:
= 85/40 + 32/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (85/1 + 32/1)
= 1/40 x (85 + 32)

step 7Simplify the above expression further:
= 1/40 x 117
= 117/40
17/8 + 4/5 = 117/40

Hence,
17/8 plus 4/5 as a fraction is 117/40.

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17/8 + 4/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 4/5

What to be found?
(17/8)+(4/5) = ?
Find what's the sum of 17/8 and 4/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 5), find the product of numerator of Fraction B and denominator of Fraction A (4 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 5) and rewrite the equation as like the below:
= (17 x 5) + (4 x 8)/(8 x 5)

step 3 Simplify and rewrite the fraction:
= (85 + 32)/40
17/8 + 4/5 = 117/40

Hence,
17/8 plus 4/5 in fraction is 117/40