2/9 + 1/3 as a fraction

Learn how to find what is 2/9 plus 1/3 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/3 as a fraction and decimal.

Summary: 2/9 plus 1/3 = 5/9
Since both fractions have unequal denominators, 2/9 plus 1/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 3. 9 is the LCM of 9 and 3. Multiplying the LCM 9 with the numerators and denominators of both fractions (2/9 x 9/9) + (1/3 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 2/9 and for 1/3 is 3/9. By simplifying this fraction addition 2/9 + 3/9, it becomes 5/9.

Pie Chart Representation: 2/9 + 1/3 = 5/9

CALCULATION: 2/9 + 1/3 as a fraction
2/9 + 1/3 = (?)
2/9 + 1/3 = [(2 x 3) + (1 x 9)]/(9 x 3)
= (6 + 9)/27
= 15/27
= (3 x 5)/(3 x 9)
= 5/9
2/9 + 1/3 = 5/9
2/9 plus 1/3 as a fraction is 5/9.

where
2/9 is a proper fraction as an addend,
1/3 is a proper fraction as an addend,
5/9 is the sum of 2/9 and 1/3.

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2/9 plus 1/3 as a decimal
2/9 + 1/3 = 5/9
5/9 = 0.5556
(2/9) + (1/3) as a decimal is 0.5556

where
0.5556 is the sum of 2/9 and 1/3.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/3) using LCM Method:
What is 2/9 plus 1/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/3

What to be found?
(2/9) + (1/3) = ?
Find what's the sum of 2/9 and 1/3.

step 2 Compare the denominators of fractions 2/9 and 1/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/3 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 1/3:
The LCM of 9 and 3 is 9.

step 4 Write the fractions 2/9 and 1/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/3
= [(2 x 9)/(9 x 9)] + [(1 x 9)/(3 x 9)]

step 5 Simplify the expression to have common denominator:
= 2/9 + 3/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (2/1 + 3/1)
= 1/9 x (2 + 3)

step 7Simplify the above expression further:
= 1/9 x 5
= 5/9
2/9 + 1/3 = 5/9

Hence,
2/9 plus 1/3 as a fraction is 5/9.

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2/9 + 1/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/3

What to be found?
(2/9)+(1/3) = ?
Find what's the sum of 2/9 and 1/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 3), 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 3) and rewrite the equation as like the below:
= (2 x 3) + (1 x 9)/(9 x 3)

step 3 Simplify and rewrite the fraction:
= (6 + 9)/27
= 15/27
= 5/9
2/9 + 1/3 = 5/9

Hence,
2/9 plus 1/3 in fraction is 5/9