1/9 + 2/44 as a fraction

Learn how to find what is 1/9 plus 2/44 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/44 as a fraction and decimal.

Summary: 1/9 plus 2/44 = 31/198
Since both fractions have unequal denominators, 1/9 plus 2/44 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/44 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 44. 396 is the LCM of 9 and 44. Multiplying the LCM 396 with the numerators and denominators of both fractions (1/9 x 396/396) + (2/44 x 396/396), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 44/396 and for 2/44 is 18/396. By simplifying this fraction addition 44/396 + 18/396, it becomes 62/396.

Pie Chart Representation: 1/9 + 2/44 = 31/198

CALCULATION: 1/9 + 2/44 as a fraction
1/9 + 2/44 = (?)
1/9 + 2/44 = [(1 x 44) + (2 x 9)]/(9 x 44)
= (44 + 18)/396
= 62/396
= (2 x 31)/(2 x 198)
= 31/198
1/9 + 2/44 = 31/198
1/9 plus 2/44 as a fraction is 31/198.

where
1/9 is a proper fraction as an addend,
2/44 is a proper fraction as an addend,
31/198 is the sum of 1/9 and 2/44.

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1/9 plus 2/44 as a decimal
1/9 + 2/44 = 31/198
31/198 = 0.1566
(1/9) + (2/44) as a decimal is 0.1566

where
0.1566 is the sum of 1/9 and 2/44.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/44 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/44 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/44) using LCM Method:
What is 1/9 plus 2/44 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/44

What to be found?
(1/9) + (2/44) = ?
Find what's the sum of 1/9 and 2/44.

step 2 Compare the denominators of fractions 1/9 and 2/44 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/44 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 1/9 and 2/44:
The LCM of 9 and 44 is 396.

step 4 Write the fractions 1/9 and 2/44 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/44
= [(1 x 396)/(9 x 396)] + [(2 x 396)/(44 x 396)]

step 5 Simplify the expression to have common denominator:
= 44/396 + 18/396

step 6 Take the common values out and rewrite the above expression like the below:
= 1/396 x (44/1 + 18/1)
= 1/396 x (44 + 18)

step 7Simplify the above expression further:
= 1/396 x 62
= 62/396
= 31/198
1/9 + 2/44 = 31/198

Hence,
1/9 plus 2/44 as a fraction is 31/198.

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1/9 + 2/44 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/44

What to be found?
(1/9)+(2/44) = ?
Find what's the sum of 1/9 and 2/44.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 44), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 44) and rewrite the equation as like the below:
= (1 x 44) + (2 x 9)/(9 x 44)

step 3 Simplify and rewrite the fraction:
= (44 + 18)/396
= 62/396
= 31/198
1/9 + 2/44 = 31/198

Hence,
1/9 plus 2/44 in fraction is 31/198