1/9 + 2/90 as a fraction

Learn how to find what is 1/9 plus 2/90 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/90 as a fraction and decimal.

Summary: 1/9 plus 2/90 = 2/15
Since both fractions have unequal denominators, 1/9 plus 2/90 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/90 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 90. 90 is the LCM of 9 and 90. Multiplying the LCM 90 with the numerators and denominators of both fractions (1/9 x 90/90) + (2/90 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 10/90 and for 2/90 is 2/90. By simplifying this fraction addition 10/90 + 2/90, it becomes 12/90.

Pie Chart Representation: 1/9 + 2/90 = 2/15

CALCULATION: 1/9 + 2/90 as a fraction
1/9 + 2/90 = (?)
1/9 + 2/90 = [(1 x 90) + (2 x 9)]/(9 x 90)
= (90 + 18)/810
= 108/810
= (54 x 2)/(54 x 15)
= 2/15
1/9 + 2/90 = 2/15
1/9 plus 2/90 as a fraction is 2/15.

where
1/9 is a proper fraction as an addend,
2/90 is a proper fraction as an addend,
2/15 is the sum of 1/9 and 2/90.

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1/9 plus 2/90 as a decimal
1/9 + 2/90 = 2/15
2/15 = 0.1333
(1/9) + (2/90) as a decimal is 0.1333

where
0.1333 is the sum of 1/9 and 2/90.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/90 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/90 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/90) using LCM Method:
What is 1/9 plus 2/90 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/90

What to be found?
(1/9) + (2/90) = ?
Find what's the sum of 1/9 and 2/90.

step 2 Compare the denominators of fractions 1/9 and 2/90 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/90 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 2/90:
The LCM of 9 and 90 is 90.

step 4 Write the fractions 1/9 and 2/90 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/90
= [(1 x 90)/(9 x 90)] + [(2 x 90)/(90 x 90)]

step 5 Simplify the expression to have common denominator:
= 10/90 + 2/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (10/1 + 2/1)
= 1/90 x (10 + 2)

step 7Simplify the above expression further:
= 1/90 x 12
= 12/90
= 2/15
1/9 + 2/90 = 2/15

Hence,
1/9 plus 2/90 as a fraction is 2/15.

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1/9 + 2/90 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/90

What to be found?
(1/9)+(2/90) = ?
Find what's the sum of 1/9 and 2/90.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 90), 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 90) and rewrite the equation as like the below:
= (1 x 90) + (2 x 9)/(9 x 90)

step 3 Simplify and rewrite the fraction:
= (90 + 18)/810
= 108/810
= 2/15
1/9 + 2/90 = 2/15

Hence,
1/9 plus 2/90 in fraction is 2/15