17/14 + 11/20 as a fraction

Learn how to find what is 17/14 plus 11/20 in fraction form just in a few minutes. We have covered the easiest method to write 17/14 + 11/20 as a fraction and decimal.

Summary: 17/14 plus 11/20 = 247/140
Since both fractions have unequal denominators, 17/14 plus 11/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/14 and fraction 11/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 14 and 20. 140 is the LCM of 14 and 20. Multiplying the LCM 140 with the numerators and denominators of both fractions (17/14 x 140/140) + (11/20 x 140/140), and simplify further in order to have the common denominator. So the equivalent fraction for 17/14 is 170/140 and for 11/20 is 77/140. By simplifying this fraction addition 170/140 + 77/140, it becomes 247/140.

CALCULATION: 17/14 + 11/20 as a fraction
17/14 + 11/20 = (?)
17/14 + 11/20 = [(17 x 20) + (11 x 14)]/(14 x 20)
= (340 + 154)/280
= 494/280
= (2 x 247)/(2 x 140)
= 247/140
17/14 + 11/20 = 247/140
17/14 plus 11/20 as a fraction is 247/140.

where
17/14 is a improper fraction as an addend,
11/20 is a proper fraction as an addend,
247/140 is the sum of 17/14 and 11/20.

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17/14 plus 11/20 as a decimal
17/14 + 11/20 = 247/140
247/140 = 1.7643
(17/14) + (11/20) as a decimal is 1.7643

where
1.7643 is the sum of 17/14 and 11/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/14 and 11/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/14 plus 11/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/14) + (11/20) using LCM Method:
What is 17/14 plus 11/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/14
Fraction B: 11/20

What to be found?
(17/14) + (11/20) = ?
Find what's the sum of 17/14 and 11/20.

step 2 Compare the denominators of fractions 17/14 and 11/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/14 and 11/20 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 17/14 and 11/20:
The LCM of 14 and 20 is 140.

step 4 Write the fractions 17/14 and 11/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/14 + 11/20
= [(17 x 140)/(14 x 140)] + [(11 x 140)/(20 x 140)]

step 5 Simplify the expression to have common denominator:
= 170/140 + 77/140

step 6 Take the common values out and rewrite the above expression like the below:
= 1/140 x (170/1 + 77/1)
= 1/140 x (170 + 77)

step 7Simplify the above expression further:
= 1/140 x 247
= 247/140
17/14 + 11/20 = 247/140

Hence,
17/14 plus 11/20 as a fraction is 247/140.

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17/14 + 11/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/14
Fraction B: 11/20

What to be found?
(17/14)+(11/20) = ?
Find what's the sum of 17/14 and 11/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 20), find the product of numerator of Fraction B and denominator of Fraction A (11 x 14), and find the product of both denominators of Fraction A and Fraction B (14 x 20) and rewrite the equation as like the below:
= (17 x 20) + (11 x 14)/(14 x 20)

step 3 Simplify and rewrite the fraction:
= (340 + 154)/280
= 494/280
= 247/140
17/14 + 11/20 = 247/140

Hence,
17/14 plus 11/20 in fraction is 247/140