11/8 + 17/19 as a fraction

Learn how to find what is 11/8 plus 17/19 in fraction form just in a few minutes. We have covered the easiest method to write 11/8 + 17/19 as a fraction and decimal.

Summary: 11/8 plus 17/19 = 345/152
Since both fractions have unequal denominators, 11/8 plus 17/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/8 and fraction 17/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 19. 152 is the LCM of 8 and 19. Multiplying the LCM 152 with the numerators and denominators of both fractions (11/8 x 152/152) + (17/19 x 152/152), and simplify further in order to have the common denominator. So the equivalent fraction for 11/8 is 209/152 and for 17/19 is 136/152. By simplifying this fraction addition 209/152 + 136/152, it becomes 345/152.

CALCULATION: 11/8 + 17/19 as a fraction
11/8 + 17/19 = (?)
11/8 + 17/19 = [(11 x 19) + (17 x 8)]/(8 x 19)
= (209 + 136)/152
= 345/152
11/8 + 17/19 = 345/152
11/8 plus 17/19 as a fraction is 345/152.

where
11/8 is a improper fraction as an addend,
17/19 is a proper fraction as an addend,
345/152 is the sum of 11/8 and 17/19.

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11/8 plus 17/19 as a decimal
11/8 + 17/19 = 345/152
345/152 = 2.2697
(11/8) + (17/19) as a decimal is 2.2697

where
2.2697 is the sum of 11/8 and 17/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/8 and 17/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/8 plus 17/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/8) + (17/19) using LCM Method:
What is 11/8 plus 17/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 17/19

What to be found?
(11/8) + (17/19) = ?
Find what's the sum of 11/8 and 17/19.

step 2 Compare the denominators of fractions 11/8 and 17/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/8 and 17/19 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 11/8 and 17/19:
The LCM of 8 and 19 is 152.

step 4 Write the fractions 11/8 and 17/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/8 + 17/19
= [(11 x 152)/(8 x 152)] + [(17 x 152)/(19 x 152)]

step 5 Simplify the expression to have common denominator:
= 209/152 + 136/152

step 6 Take the common values out and rewrite the above expression like the below:
= 1/152 x (209/1 + 136/1)
= 1/152 x (209 + 136)

step 7Simplify the above expression further:
= 1/152 x 345
= 345/152
11/8 + 17/19 = 345/152

Hence,
11/8 plus 17/19 as a fraction is 345/152.

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11/8 + 17/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 17/19

What to be found?
(11/8)+(17/19) = ?
Find what's the sum of 11/8 and 17/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 19), find the product of numerator of Fraction B and denominator of Fraction A (17 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 19) and rewrite the equation as like the below:
= (11 x 19) + (17 x 8)/(8 x 19)

step 3 Simplify and rewrite the fraction:
= (209 + 136)/152
11/8 + 17/19 = 345/152

Hence,
11/8 plus 17/19 in fraction is 345/152