11/17 + 5/14 as a fraction

Learn how to find what is 11/17 plus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 11/17 + 5/14 as a fraction and decimal.

Summary: 11/17 plus 5/14 = 239/238
Since both fractions have unequal denominators, 11/17 plus 5/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/17 and fraction 5/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 17 and 14. 238 is the LCM of 17 and 14. Multiplying the LCM 238 with the numerators and denominators of both fractions (11/17 x 238/238) + (5/14 x 238/238), and simplify further in order to have the common denominator. So the equivalent fraction for 11/17 is 154/238 and for 5/14 is 85/238. By simplifying this fraction addition 154/238 + 85/238, it becomes 239/238.

CALCULATION: 11/17 + 5/14 as a fraction
11/17 + 5/14 = (?)
11/17 + 5/14 = [(11 x 14) + (5 x 17)]/(17 x 14)
= (154 + 85)/238
= 239/238
11/17 + 5/14 = 239/238
11/17 plus 5/14 as a fraction is 239/238.

where
11/17 is a proper fraction as an addend,
5/14 is a proper fraction as an addend,
239/238 is the sum of 11/17 and 5/14.

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11/17 plus 5/14 as a decimal
11/17 + 5/14 = 239/238
239/238 = 1.0042
(11/17) + (5/14) as a decimal is 1.0042

where
1.0042 is the sum of 11/17 and 5/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/17 and 5/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/17 plus 5/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/17) + (5/14) using LCM Method:
What is 11/17 plus 5/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/17
Fraction B: 5/14

What to be found?
(11/17) + (5/14) = ?
Find what's the sum of 11/17 and 5/14.

step 2 Compare the denominators of fractions 11/17 and 5/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/17 and 5/14 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 11/17 and 5/14:
The LCM of 17 and 14 is 238.

step 4 Write the fractions 11/17 and 5/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/17 + 5/14
= [(11 x 238)/(17 x 238)] + [(5 x 238)/(14 x 238)]

step 5 Simplify the expression to have common denominator:
= 154/238 + 85/238

step 6 Take the common values out and rewrite the above expression like the below:
= 1/238 x (154/1 + 85/1)
= 1/238 x (154 + 85)

step 7Simplify the above expression further:
= 1/238 x 239
= 239/238
11/17 + 5/14 = 239/238

Hence,
11/17 plus 5/14 as a fraction is 239/238.

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11/17 + 5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/17
Fraction B: 5/14

What to be found?
(11/17)+(5/14) = ?
Find what's the sum of 11/17 and 5/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 x 17), and find the product of both denominators of Fraction A and Fraction B (17 x 14) and rewrite the equation as like the below:
= (11 x 14) + (5 x 17)/(17 x 14)

step 3 Simplify and rewrite the fraction:
= (154 + 85)/238
11/17 + 5/14 = 239/238

Hence,
11/17 plus 5/14 in fraction is 239/238