10/9 + 9/17 as a fraction

Learn how to find what is 10/9 plus 9/17 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 + 9/17 as a fraction and decimal.

Summary: 10/9 plus 9/17 = 251/153
Since both fractions have unequal denominators, 10/9 plus 9/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 9/17 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 (10/9 x 153/153) + (9/17 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 170/153 and for 9/17 is 81/153. By simplifying this fraction addition 170/153 + 81/153, it becomes 251/153.

CALCULATION: 10/9 + 9/17 as a fraction
10/9 + 9/17 = (?)
10/9 + 9/17 = [(10 x 17) + (9 x 9)]/(9 x 17)
= (170 + 81)/153
= 251/153
10/9 + 9/17 = 251/153
10/9 plus 9/17 as a fraction is 251/153.

where
10/9 is a improper fraction as an addend,
9/17 is a proper fraction as an addend,
251/153 is the sum of 10/9 and 9/17.

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10/9 plus 9/17 as a decimal
10/9 + 9/17 = 251/153
251/153 = 1.6405
(10/9) + (9/17) as a decimal is 1.6405

where
1.6405 is the sum of 10/9 and 9/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/9 and 9/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/9 plus 9/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/9) + (9/17) using LCM Method:
What is 10/9 plus 9/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 9/17

What to be found?
(10/9) + (9/17) = ?
Find what's the sum of 10/9 and 9/17.

step 2 Compare the denominators of fractions 10/9 and 9/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/9 and 9/17 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 10/9 and 9/17:
The LCM of 9 and 17 is 153.

step 4 Write the fractions 10/9 and 9/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 + 9/17
= [(10 x 153)/(9 x 153)] + [(9 x 153)/(17 x 153)]

step 5 Simplify the expression to have common denominator:
= 170/153 + 81/153

step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (170/1 + 81/1)
= 1/153 x (170 + 81)

step 7Simplify the above expression further:
= 1/153 x 251
= 251/153
10/9 + 9/17 = 251/153

Hence,
10/9 plus 9/17 as a fraction is 251/153.

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10/9 + 9/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 9/17

What to be found?
(10/9)+(9/17) = ?
Find what's the sum of 10/9 and 9/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 17), find the product of numerator of Fraction B and denominator of Fraction A (9 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:
= (10 x 17) + (9 x 9)/(9 x 17)

step 3 Simplify and rewrite the fraction:
= (170 + 81)/153
10/9 + 9/17 = 251/153

Hence,
10/9 plus 9/17 in fraction is 251/153