9/10 + 14/17 as a fraction

Learn how to find what is 9/10 plus 14/17 in fraction form just in a few minutes. We have covered the easiest method to write 9/10 + 14/17 as a fraction and decimal.

Summary: 9/10 plus 14/17 = 293/170
Since both fractions have unequal denominators, 9/10 plus 14/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/10 and fraction 14/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 10 and 17. 170 is the LCM of 10 and 17. Multiplying the LCM 170 with the numerators and denominators of both fractions (9/10 x 170/170) + (14/17 x 170/170), and simplify further in order to have the common denominator. So the equivalent fraction for 9/10 is 153/170 and for 14/17 is 140/170. By simplifying this fraction addition 153/170 + 140/170, it becomes 293/170.

CALCULATION: 9/10 + 14/17 as a fraction
9/10 + 14/17 = (?)
9/10 + 14/17 = [(9 x 17) + (14 x 10)]/(10 x 17)
= (153 + 140)/170
= 293/170
9/10 + 14/17 = 293/170
9/10 plus 14/17 as a fraction is 293/170.

where
9/10 is a proper fraction as an addend,
14/17 is a proper fraction as an addend,
293/170 is the sum of 9/10 and 14/17.

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9/10 plus 14/17 as a decimal
9/10 + 14/17 = 293/170
293/170 = 1.7235
(9/10) + (14/17) as a decimal is 1.7235

where
1.7235 is the sum of 9/10 and 14/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/10 and 14/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/10 plus 14/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/10) + (14/17) using LCM Method:
What is 9/10 plus 14/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 14/17

What to be found?
(9/10) + (14/17) = ?
Find what's the sum of 9/10 and 14/17.

step 2 Compare the denominators of fractions 9/10 and 14/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/10 and 14/17 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 9/10 and 14/17:
The LCM of 10 and 17 is 170.

step 4 Write the fractions 9/10 and 14/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/10 + 14/17
= [(9 x 170)/(10 x 170)] + [(14 x 170)/(17 x 170)]

step 5 Simplify the expression to have common denominator:
= 153/170 + 140/170

step 6 Take the common values out and rewrite the above expression like the below:
= 1/170 x (153/1 + 140/1)
= 1/170 x (153 + 140)

step 7Simplify the above expression further:
= 1/170 x 293
= 293/170
9/10 + 14/17 = 293/170

Hence,
9/10 plus 14/17 as a fraction is 293/170.

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9/10 + 14/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 14/17

What to be found?
(9/10)+(14/17) = ?
Find what's the sum of 9/10 and 14/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 17), find the product of numerator of Fraction B and denominator of Fraction A (14 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 17) and rewrite the equation as like the below:
= (9 x 17) + (14 x 10)/(10 x 17)

step 3 Simplify and rewrite the fraction:
= (153 + 140)/170
9/10 + 14/17 = 293/170

Hence,
9/10 plus 14/17 in fraction is 293/170