1/2 + 9/19 as a fraction

Learn how to find what is 1/2 plus 9/19 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 9/19 as a fraction and decimal.

Summary: 1/2 plus 9/19 = 37/38
Since both fractions have unequal denominators, 1/2 plus 9/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 9/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 19. 38 is the LCM of 2 and 19. Multiplying the LCM 38 with the numerators and denominators of both fractions (1/2 x 38/38) + (9/19 x 38/38), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 19/38 and for 9/19 is 18/38. By simplifying this fraction addition 19/38 + 18/38, it becomes 37/38.

Pie Chart Representation: 1/2 + 9/19 = 37/38

CALCULATION: 1/2 + 9/19 as a fraction
1/2 + 9/19 = (?)
1/2 + 9/19 = [(1 x 19) + (9 x 2)]/(2 x 19)
= (19 + 18)/38
= 37/38
1/2 + 9/19 = 37/38
1/2 plus 9/19 as a fraction is 37/38.

where
1/2 is a proper fraction as an addend,
9/19 is a proper fraction as an addend,
37/38 is the sum of 1/2 and 9/19.

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1/2 plus 9/19 as a decimal
1/2 + 9/19 = 37/38
37/38 = 0.9737
(1/2) + (9/19) as a decimal is 0.9737

where
0.9737 is the sum of 1/2 and 9/19.

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

(1/2) + (9/19) using LCM Method:
What is 1/2 plus 9/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 9/19

What to be found?
(1/2) + (9/19) = ?
Find what's the sum of 1/2 and 9/19.

step 2 Compare the denominators of fractions 1/2 and 9/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 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 1/2 and 9/19:
The LCM of 2 and 19 is 38.

step 4 Write the fractions 1/2 and 9/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 9/19
= [(1 x 38)/(2 x 38)] + [(9 x 38)/(19 x 38)]

step 5 Simplify the expression to have common denominator:
= 19/38 + 18/38

step 6 Take the common values out and rewrite the above expression like the below:
= 1/38 x (19/1 + 18/1)
= 1/38 x (19 + 18)

step 7Simplify the above expression further:
= 1/38 x 37
= 37/38
1/2 + 9/19 = 37/38

Hence,
1/2 plus 9/19 as a fraction is 37/38.

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1/2 + 9/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 9/19

What to be found?
(1/2)+(9/19) = ?
Find what's the sum of 1/2 and 9/19.

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

step 3 Simplify and rewrite the fraction:
= (19 + 18)/38
1/2 + 9/19 = 37/38

Hence,
1/2 plus 9/19 in fraction is 37/38