7/8 + 4/19 as a fraction

Learn how to find what is 7/8 plus 4/19 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 4/19 as a fraction and decimal.

Summary: 7/8 plus 4/19 = 165/152
Since both fractions have unequal denominators, 7/8 plus 4/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 4/19 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 (7/8 x 152/152) + (4/19 x 152/152), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 133/152 and for 4/19 is 32/152. By simplifying this fraction addition 133/152 + 32/152, it becomes 165/152.

CALCULATION: 7/8 + 4/19 as a fraction
7/8 + 4/19 = (?)
7/8 + 4/19 = [(7 x 19) + (4 x 8)]/(8 x 19)
= (133 + 32)/152
= 165/152
7/8 + 4/19 = 165/152
7/8 plus 4/19 as a fraction is 165/152.

where
7/8 is a proper fraction as an addend,
4/19 is a proper fraction as an addend,
165/152 is the sum of 7/8 and 4/19.

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7/8 plus 4/19 as a decimal
7/8 + 4/19 = 165/152
165/152 = 1.0855
(7/8) + (4/19) as a decimal is 1.0855

where
1.0855 is the sum of 7/8 and 4/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/8 and 4/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/8 plus 4/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/8) + (4/19) using LCM Method:
What is 7/8 plus 4/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 4/19

What to be found?
(7/8) + (4/19) = ?
Find what's the sum of 7/8 and 4/19.

step 2 Compare the denominators of fractions 7/8 and 4/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 and 4/19 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 7/8 and 4/19:
The LCM of 8 and 19 is 152.

step 4 Write the fractions 7/8 and 4/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 + 4/19
= [(7 x 152)/(8 x 152)] + [(4 x 152)/(19 x 152)]

step 5 Simplify the expression to have common denominator:
= 133/152 + 32/152

step 6 Take the common values out and rewrite the above expression like the below:
= 1/152 x (133/1 + 32/1)
= 1/152 x (133 + 32)

step 7Simplify the above expression further:
= 1/152 x 165
= 165/152
7/8 + 4/19 = 165/152

Hence,
7/8 plus 4/19 as a fraction is 165/152.

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7/8 + 4/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 4/19

What to be found?
(7/8)+(4/19) = ?
Find what's the sum of 7/8 and 4/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 19), find the product of numerator of Fraction B and denominator of Fraction A (4 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:
= (7 x 19) + (4 x 8)/(8 x 19)

step 3 Simplify and rewrite the fraction:
= (133 + 32)/152
7/8 + 4/19 = 165/152

Hence,
7/8 plus 4/19 in fraction is 165/152