1/9 + 2/55 as a fraction

Learn how to find what is 1/9 plus 2/55 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/55 as a fraction and decimal.

Summary: 1/9 plus 2/55 = 73/495
Since both fractions have unequal denominators, 1/9 plus 2/55 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/55 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 55. 495 is the LCM of 9 and 55. Multiplying the LCM 495 with the numerators and denominators of both fractions (1/9 x 495/495) + (2/55 x 495/495), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 55/495 and for 2/55 is 18/495. By simplifying this fraction addition 55/495 + 18/495, it becomes 73/495.

Pie Chart Representation: 1/9 + 2/55 = 73/495

CALCULATION: 1/9 + 2/55 as a fraction
1/9 + 2/55 = (?)
1/9 + 2/55 = [(1 x 55) + (2 x 9)]/(9 x 55)
= (55 + 18)/495
= 73/495
1/9 + 2/55 = 73/495
1/9 plus 2/55 as a fraction is 73/495.

where
1/9 is a proper fraction as an addend,
2/55 is a proper fraction as an addend,
73/495 is the sum of 1/9 and 2/55.

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1/9 plus 2/55 as a decimal
1/9 + 2/55 = 73/495
73/495 = 0.1475
(1/9) + (2/55) as a decimal is 0.1475

where
0.1475 is the sum of 1/9 and 2/55.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/55 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/55 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/55) using LCM Method:
What is 1/9 plus 2/55 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/55

What to be found?
(1/9) + (2/55) = ?
Find what's the sum of 1/9 and 2/55.

step 2 Compare the denominators of fractions 1/9 and 2/55 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/55 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 2/55:
The LCM of 9 and 55 is 495.

step 4 Write the fractions 1/9 and 2/55 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/55
= [(1 x 495)/(9 x 495)] + [(2 x 495)/(55 x 495)]

step 5 Simplify the expression to have common denominator:
= 55/495 + 18/495

step 6 Take the common values out and rewrite the above expression like the below:
= 1/495 x (55/1 + 18/1)
= 1/495 x (55 + 18)

step 7Simplify the above expression further:
= 1/495 x 73
= 73/495
1/9 + 2/55 = 73/495

Hence,
1/9 plus 2/55 as a fraction is 73/495.

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1/9 + 2/55 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/55

What to be found?
(1/9)+(2/55) = ?
Find what's the sum of 1/9 and 2/55.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 55), 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 55) and rewrite the equation as like the below:
= (1 x 55) + (2 x 9)/(9 x 55)

step 3 Simplify and rewrite the fraction:
= (55 + 18)/495
1/9 + 2/55 = 73/495

Hence,
1/9 plus 2/55 in fraction is 73/495