16/9 + 10/17 as a fraction

Learn how to find what is 16/9 plus 10/17 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 + 10/17 as a fraction and decimal.

Summary: 16/9 plus 10/17 = 362/153
Since both fractions have unequal denominators, 16/9 plus 10/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 10/17 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 (16/9 x 153/153) + (10/17 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 272/153 and for 10/17 is 90/153. By simplifying this fraction addition 272/153 + 90/153, it becomes 362/153.

CALCULATION: 16/9 + 10/17 as a fraction
16/9 + 10/17 = (?)
16/9 + 10/17 = [(16 x 17) + (10 x 9)]/(9 x 17)
= (272 + 90)/153
= 362/153
16/9 + 10/17 = 362/153
16/9 plus 10/17 as a fraction is 362/153.

where
16/9 is a improper fraction as an addend,
10/17 is a proper fraction as an addend,
362/153 is the sum of 16/9 and 10/17.

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16/9 plus 10/17 as a decimal
16/9 + 10/17 = 362/153
362/153 = 2.366
(16/9) + (10/17) as a decimal is 2.366

where
2.366 is the sum of 16/9 and 10/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/9 and 10/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/9 plus 10/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/9) + (10/17) using LCM Method:
What is 16/9 plus 10/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 10/17

What to be found?
(16/9) + (10/17) = ?
Find what's the sum of 16/9 and 10/17.

step 2 Compare the denominators of fractions 16/9 and 10/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/9 and 10/17 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 16/9 and 10/17:
The LCM of 9 and 17 is 153.

step 4 Write the fractions 16/9 and 10/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 + 10/17
= [(16 x 153)/(9 x 153)] + [(10 x 153)/(17 x 153)]

step 5 Simplify the expression to have common denominator:
= 272/153 + 90/153

step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (272/1 + 90/1)
= 1/153 x (272 + 90)

step 7Simplify the above expression further:
= 1/153 x 362
= 362/153
16/9 + 10/17 = 362/153

Hence,
16/9 plus 10/17 as a fraction is 362/153.

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16/9 + 10/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 10/17

What to be found?
(16/9)+(10/17) = ?
Find what's the sum of 16/9 and 10/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 17), find the product of numerator of Fraction B and denominator of Fraction A (10 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:
= (16 x 17) + (10 x 9)/(9 x 17)

step 3 Simplify and rewrite the fraction:
= (272 + 90)/153
16/9 + 10/17 = 362/153

Hence,
16/9 plus 10/17 in fraction is 362/153