4/9 + 1/19 as a fraction

Learn how to find what is 4/9 plus 1/19 in fraction form just in a few minutes. We have covered the easiest method to write 4/9 + 1/19 as a fraction and decimal.

Summary: 4/9 plus 1/19 = 85/171
Since both fractions have unequal denominators, 4/9 plus 1/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 1/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 19. 171 is the LCM of 9 and 19. Multiplying the LCM 171 with the numerators and denominators of both fractions (4/9 x 171/171) + (1/19 x 171/171), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 76/171 and for 1/19 is 9/171. By simplifying this fraction addition 76/171 + 9/171, it becomes 85/171.

Pie Chart Representation: 4/9 + 1/19 = 85/171

CALCULATION: 4/9 + 1/19 as a fraction
4/9 + 1/19 = (?)
4/9 + 1/19 = [(4 x 19) + (1 x 9)]/(9 x 19)
= (76 + 9)/171
= 85/171
4/9 + 1/19 = 85/171
4/9 plus 1/19 as a fraction is 85/171.

where
4/9 is a proper fraction as an addend,
1/19 is a proper fraction as an addend,
85/171 is the sum of 4/9 and 1/19.

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4/9 plus 1/19 as a decimal
4/9 + 1/19 = 85/171
85/171 = 0.4971
(4/9) + (1/19) as a decimal is 0.4971

where
0.4971 is the sum of 4/9 and 1/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/9 and 1/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/9 plus 1/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/9) + (1/19) using LCM Method:
What is 4/9 plus 1/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/19

What to be found?
(4/9) + (1/19) = ?
Find what's the sum of 4/9 and 1/19.

step 2 Compare the denominators of fractions 4/9 and 1/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/9 and 1/19 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 4/9 and 1/19:
The LCM of 9 and 19 is 171.

step 4 Write the fractions 4/9 and 1/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/9 + 1/19
= [(4 x 171)/(9 x 171)] + [(1 x 171)/(19 x 171)]

step 5 Simplify the expression to have common denominator:
= 76/171 + 9/171

step 6 Take the common values out and rewrite the above expression like the below:
= 1/171 x (76/1 + 9/1)
= 1/171 x (76 + 9)

step 7Simplify the above expression further:
= 1/171 x 85
= 85/171
4/9 + 1/19 = 85/171

Hence,
4/9 plus 1/19 as a fraction is 85/171.

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4/9 + 1/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/19

What to be found?
(4/9)+(1/19) = ?
Find what's the sum of 4/9 and 1/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 19), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 19) and rewrite the equation as like the below:
= (4 x 19) + (1 x 9)/(9 x 19)

step 3 Simplify and rewrite the fraction:
= (76 + 9)/171
4/9 + 1/19 = 85/171

Hence,
4/9 plus 1/19 in fraction is 85/171