1/6 + 1/9 as a fraction

Learn how to find what is 1/6 plus 1/9 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 1/9 as a fraction and decimal.

Summary: 1/6 plus 1/9 = 5/18
Since both fractions have unequal denominators, 1/6 plus 1/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 1/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 9. 18 is the LCM of 6 and 9. Multiplying the LCM 18 with the numerators and denominators of both fractions (1/6 x 18/18) + (1/9 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 3/18 and for 1/9 is 2/18. By simplifying this fraction addition 3/18 + 2/18, it becomes 5/18.

Pie Chart Representation: 1/6 + 1/9 = 5/18

CALCULATION: 1/6 + 1/9 as a fraction
1/6 + 1/9 = (?)
1/6 + 1/9 = [(1 x 9) + (1 x 6)]/(6 x 9)
= (9 + 6)/54
= 15/54
= (3 x 5)/(3 x 18)
= 5/18
1/6 + 1/9 = 5/18
1/6 plus 1/9 as a fraction is 5/18.

where
1/6 is a proper fraction as an addend,
1/9 is a proper fraction as an addend,
5/18 is the sum of 1/6 and 1/9.

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1/6 plus 1/9 as a decimal
1/6 + 1/9 = 5/18
5/18 = 0.2778
(1/6) + (1/9) as a decimal is 0.2778

where
0.2778 is the sum of 1/6 and 1/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 1/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 1/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (1/9) using LCM Method:
What is 1/6 plus 1/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 1/9

What to be found?
(1/6) + (1/9) = ?
Find what's the sum of 1/6 and 1/9.

step 2 Compare the denominators of fractions 1/6 and 1/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 1/9 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 1/6 and 1/9:
The LCM of 6 and 9 is 18.

step 4 Write the fractions 1/6 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 1/9
= [(1 x 18)/(6 x 18)] + [(1 x 18)/(9 x 18)]

step 5 Simplify the expression to have common denominator:
= 3/18 + 2/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (3/1 + 2/1)
= 1/18 x (3 + 2)

step 7Simplify the above expression further:
= 1/18 x 5
= 5/18
1/6 + 1/9 = 5/18

Hence,
1/6 plus 1/9 as a fraction is 5/18.

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1/6 + 1/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 1/9

What to be found?
(1/6)+(1/9) = ?
Find what's the sum of 1/6 and 1/9.

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 (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 9) and rewrite the equation as like the below:
= (1 x 9) + (1 x 6)/(6 x 9)

step 3 Simplify and rewrite the fraction:
= (9 + 6)/54
= 15/54
= 5/18
1/6 + 1/9 = 5/18

Hence,
1/6 plus 1/9 in fraction is 5/18