5/9 + 3/17 as a fraction

Learn how to find what is 5/9 plus 3/17 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 + 3/17 as a fraction and decimal.

Summary: 5/9 plus 3/17 = 112/153
Since both fractions have unequal denominators, 5/9 plus 3/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/9 and fraction 3/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 17. 153 is the LCM of 9 and 17. Multiplying the LCM 153 with the numerators and denominators of both fractions (5/9 x 153/153) + (3/17 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 5/9 is 85/153 and for 3/17 is 27/153. By simplifying this fraction addition 85/153 + 27/153, it becomes 112/153.

Pie Chart Representation: 5/9 + 3/17 = 112/153

CALCULATION: 5/9 + 3/17 as a fraction
5/9 + 3/17 = (?)
5/9 + 3/17 = [(5 x 17) + (3 x 9)]/(9 x 17)
= (85 + 27)/153
= 112/153
5/9 + 3/17 = 112/153
5/9 plus 3/17 as a fraction is 112/153.

where
5/9 is a proper fraction as an addend,
3/17 is a proper fraction as an addend,
112/153 is the sum of 5/9 and 3/17.

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5/9 plus 3/17 as a decimal
5/9 + 3/17 = 112/153
112/153 = 0.732
(5/9) + (3/17) as a decimal is 0.732

where
0.732 is the sum of 5/9 and 3/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/9 and 3/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/9 plus 3/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/9) + (3/17) using LCM Method:
What is 5/9 plus 3/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 3/17

What to be found?
(5/9) + (3/17) = ?
Find what's the sum of 5/9 and 3/17.

step 2 Compare the denominators of fractions 5/9 and 3/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 3/17 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 5/9 and 3/17:
The LCM of 9 and 17 is 153.

step 4 Write the fractions 5/9 and 3/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/9 + 3/17
= [(5 x 153)/(9 x 153)] + [(3 x 153)/(17 x 153)]

step 5 Simplify the expression to have common denominator:
= 85/153 + 27/153

step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (85/1 + 27/1)
= 1/153 x (85 + 27)

step 7Simplify the above expression further:
= 1/153 x 112
= 112/153
5/9 + 3/17 = 112/153

Hence,
5/9 plus 3/17 as a fraction is 112/153.

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5/9 + 3/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 3/17

What to be found?
(5/9)+(3/17) = ?
Find what's the sum of 5/9 and 3/17.

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 (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 17) and rewrite the equation as like the below:
= (5 x 17) + (3 x 9)/(9 x 17)

step 3 Simplify and rewrite the fraction:
= (85 + 27)/153
5/9 + 3/17 = 112/153

Hence,
5/9 plus 3/17 in fraction is 112/153