1/3 + 3/9 as a fraction

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

Summary: 1/3 plus 3/9 = 2/3
Since both fractions have unequal denominators, 1/3 plus 3/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 3/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 9. 9 is the LCM of 3 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (1/3 x 9/9) + (3/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 3/9 and for 3/9 is 3/9. By simplifying this fraction addition 3/9 + 3/9, it becomes 6/9.

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

CALCULATION: 1/3 + 3/9 as a fraction
1/3 + 3/9 = (?)
1/3 + 3/9 = [(1 x 9) + (3 x 3)]/(3 x 9)
= (9 + 9)/27
= 18/27
= (9 x 2)/(9 x 3)
= 2/3
1/3 + 3/9 = 2/3
1/3 plus 3/9 as a fraction is 2/3.

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

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1/3 plus 3/9 as a decimal
1/3 + 3/9 = 2/3
2/3 = 0.6667
(1/3) + (3/9) as a decimal is 0.6667

where
0.6667 is the sum of 1/3 and 3/9.

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

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

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

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

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

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

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

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

step 7Simplify the above expression further:
= 1/9 x 6
= 6/9
= 2/3
1/3 + 3/9 = 2/3

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

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

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

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

step 3 Simplify and rewrite the fraction:
= (9 + 9)/27
= 18/27
= 2/3
1/3 + 3/9 = 2/3

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