8/7 + 9/19 as a fraction

Learn how to find what is 8/7 plus 9/19 in fraction form just in a few minutes. We have covered the easiest method to write 8/7 + 9/19 as a fraction and decimal.

Summary: 8/7 plus 9/19 = 215/133
Since both fractions have unequal denominators, 8/7 plus 9/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/7 and fraction 9/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 19. 133 is the LCM of 7 and 19. Multiplying the LCM 133 with the numerators and denominators of both fractions (8/7 x 133/133) + (9/19 x 133/133), and simplify further in order to have the common denominator. So the equivalent fraction for 8/7 is 152/133 and for 9/19 is 63/133. By simplifying this fraction addition 152/133 + 63/133, it becomes 215/133.

CALCULATION: 8/7 + 9/19 as a fraction
8/7 + 9/19 = (?)
8/7 + 9/19 = [(8 x 19) + (9 x 7)]/(7 x 19)
= (152 + 63)/133
= 215/133
8/7 + 9/19 = 215/133
8/7 plus 9/19 as a fraction is 215/133.

where
8/7 is a improper fraction as an addend,
9/19 is a proper fraction as an addend,
215/133 is the sum of 8/7 and 9/19.

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8/7 plus 9/19 as a decimal
8/7 + 9/19 = 215/133
215/133 = 1.6165
(8/7) + (9/19) as a decimal is 1.6165

where
1.6165 is the sum of 8/7 and 9/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/7 and 9/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/7 plus 9/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/7) + (9/19) using LCM Method:
What is 8/7 plus 9/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 9/19

What to be found?
(8/7) + (9/19) = ?
Find what's the sum of 8/7 and 9/19.

step 2 Compare the denominators of fractions 8/7 and 9/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/7 and 9/19 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 8/7 and 9/19:
The LCM of 7 and 19 is 133.

step 4 Write the fractions 8/7 and 9/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/7 + 9/19
= [(8 x 133)/(7 x 133)] + [(9 x 133)/(19 x 133)]

step 5 Simplify the expression to have common denominator:
= 152/133 + 63/133

step 6 Take the common values out and rewrite the above expression like the below:
= 1/133 x (152/1 + 63/1)
= 1/133 x (152 + 63)

step 7Simplify the above expression further:
= 1/133 x 215
= 215/133
8/7 + 9/19 = 215/133

Hence,
8/7 plus 9/19 as a fraction is 215/133.

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8/7 + 9/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 9/19

What to be found?
(8/7)+(9/19) = ?
Find what's the sum of 8/7 and 9/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 19), find the product of numerator of Fraction B and denominator of Fraction A (9 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 19) and rewrite the equation as like the below:
= (8 x 19) + (9 x 7)/(7 x 19)

step 3 Simplify and rewrite the fraction:
= (152 + 63)/133
8/7 + 9/19 = 215/133

Hence,
8/7 plus 9/19 in fraction is 215/133