8/5 + 1/17 as a fraction

Learn how to find what is 8/5 plus 1/17 in fraction form just in a few minutes. We have covered the easiest method to write 8/5 + 1/17 as a fraction and decimal.

Summary: 8/5 plus 1/17 = 141/85
Since both fractions have unequal denominators, 8/5 plus 1/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/5 and fraction 1/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 17. 85 is the LCM of 5 and 17. Multiplying the LCM 85 with the numerators and denominators of both fractions (8/5 x 85/85) + (1/17 x 85/85), and simplify further in order to have the common denominator. So the equivalent fraction for 8/5 is 136/85 and for 1/17 is 5/85. By simplifying this fraction addition 136/85 + 5/85, it becomes 141/85.

CALCULATION: 8/5 + 1/17 as a fraction
8/5 + 1/17 = (?)
8/5 + 1/17 = [(8 x 17) + (1 x 5)]/(5 x 17)
= (136 + 5)/85
= 141/85
8/5 + 1/17 = 141/85
8/5 plus 1/17 as a fraction is 141/85.

where
8/5 is a improper fraction as an addend,
1/17 is a proper fraction as an addend,
141/85 is the sum of 8/5 and 1/17.

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8/5 plus 1/17 as a decimal
8/5 + 1/17 = 141/85
141/85 = 1.6588
(8/5) + (1/17) as a decimal is 1.6588

where
1.6588 is the sum of 8/5 and 1/17.

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

(8/5) + (1/17) using LCM Method:
What is 8/5 plus 1/17 as a fraction?

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

What to be found?
(8/5) + (1/17) = ?
Find what's the sum of 8/5 and 1/17.

step 2 Compare the denominators of fractions 8/5 and 1/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/5 and 1/17 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 8/5 and 1/17:
The LCM of 5 and 17 is 85.

step 4 Write the fractions 8/5 and 1/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/5 + 1/17
= [(8 x 85)/(5 x 85)] + [(1 x 85)/(17 x 85)]

step 5 Simplify the expression to have common denominator:
= 136/85 + 5/85

step 6 Take the common values out and rewrite the above expression like the below:
= 1/85 x (136/1 + 5/1)
= 1/85 x (136 + 5)

step 7Simplify the above expression further:
= 1/85 x 141
= 141/85
8/5 + 1/17 = 141/85

Hence,
8/5 plus 1/17 as a fraction is 141/85.

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

What to be found?
(8/5)+(1/17) = ?
Find what's the sum of 8/5 and 1/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 17), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 17) and rewrite the equation as like the below:
= (8 x 17) + (1 x 5)/(5 x 17)

step 3 Simplify and rewrite the fraction:
= (136 + 5)/85
8/5 + 1/17 = 141/85

Hence,
8/5 plus 1/17 in fraction is 141/85