2/9 + 1/30 as a fraction

Learn how to find what is 2/9 plus 1/30 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/30 as a fraction and decimal.

Summary: 2/9 plus 1/30 = 23/90
Since both fractions have unequal denominators, 2/9 plus 1/30 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/30 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 30. 90 is the LCM of 9 and 30. Multiplying the LCM 90 with the numerators and denominators of both fractions (2/9 x 90/90) + (1/30 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 20/90 and for 1/30 is 3/90. By simplifying this fraction addition 20/90 + 3/90, it becomes 23/90.

Pie Chart Representation: 2/9 + 1/30 = 23/90

CALCULATION: 2/9 + 1/30 as a fraction
2/9 + 1/30 = (?)
2/9 + 1/30 = [(2 x 30) + (1 x 9)]/(9 x 30)
= (60 + 9)/270
= 69/270
= (3 x 23)/(3 x 90)
= 23/90
2/9 + 1/30 = 23/90
2/9 plus 1/30 as a fraction is 23/90.

where
2/9 is a proper fraction as an addend,
1/30 is a proper fraction as an addend,
23/90 is the sum of 2/9 and 1/30.

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2/9 plus 1/30 as a decimal
2/9 + 1/30 = 23/90
23/90 = 0.2556
(2/9) + (1/30) as a decimal is 0.2556

where
0.2556 is the sum of 2/9 and 1/30.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/30 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/30 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/30) using LCM Method:
What is 2/9 plus 1/30 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/30

What to be found?
(2/9) + (1/30) = ?
Find what's the sum of 2/9 and 1/30.

step 2 Compare the denominators of fractions 2/9 and 1/30 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/30 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 2/9 and 1/30:
The LCM of 9 and 30 is 90.

step 4 Write the fractions 2/9 and 1/30 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/30
= [(2 x 90)/(9 x 90)] + [(1 x 90)/(30 x 90)]

step 5 Simplify the expression to have common denominator:
= 20/90 + 3/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (20/1 + 3/1)
= 1/90 x (20 + 3)

step 7Simplify the above expression further:
= 1/90 x 23
= 23/90
2/9 + 1/30 = 23/90

Hence,
2/9 plus 1/30 as a fraction is 23/90.

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2/9 + 1/30 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/30

What to be found?
(2/9)+(1/30) = ?
Find what's the sum of 2/9 and 1/30.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 30), 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 30) and rewrite the equation as like the below:
= (2 x 30) + (1 x 9)/(9 x 30)

step 3 Simplify and rewrite the fraction:
= (60 + 9)/270
= 69/270
= 23/90
2/9 + 1/30 = 23/90

Hence,
2/9 plus 1/30 in fraction is 23/90