1/9 + 1/15 as a fraction

Learn how to find what is 1/9 plus 1/15 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 1/15 as a fraction and decimal.

Summary: 1/9 plus 1/15 = 8/45
Since both fractions have unequal denominators, 1/9 plus 1/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 1/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 15. 45 is the LCM of 9 and 15. Multiplying the LCM 45 with the numerators and denominators of both fractions (1/9 x 45/45) + (1/15 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 5/45 and for 1/15 is 3/45. By simplifying this fraction addition 5/45 + 3/45, it becomes 8/45.

Pie Chart Representation: 1/9 + 1/15 = 8/45

CALCULATION: 1/9 + 1/15 as a fraction
1/9 + 1/15 = (?)
1/9 + 1/15 = [(1 x 15) + (1 x 9)]/(9 x 15)
= (15 + 9)/135
= 24/135
= (3 x 8)/(3 x 45)
= 8/45
1/9 + 1/15 = 8/45
1/9 plus 1/15 as a fraction is 8/45.

where
1/9 is a proper fraction as an addend,
1/15 is a proper fraction as an addend,
8/45 is the sum of 1/9 and 1/15.

---

1/9 plus 1/15 as a decimal
1/9 + 1/15 = 8/45
8/45 = 0.1778
(1/9) + (1/15) as a decimal is 0.1778

where
0.1778 is the sum of 1/9 and 1/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 1/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 1/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (1/15) using LCM Method:
What is 1/9 plus 1/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 1/15

What to be found?
(1/9) + (1/15) = ?
Find what's the sum of 1/9 and 1/15.

step 2 Compare the denominators of fractions 1/9 and 1/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 1/15 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 1/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 1/9 and 1/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 1/15
= [(1 x 45)/(9 x 45)] + [(1 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 5/45 + 3/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (5/1 + 3/1)
= 1/45 x (5 + 3)

step 7Simplify the above expression further:
= 1/45 x 8
= 8/45
1/9 + 1/15 = 8/45

Hence,
1/9 plus 1/15 as a fraction is 8/45.

---

1/9 + 1/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 1/15

What to be found?
(1/9)+(1/15) = ?
Find what's the sum of 1/9 and 1/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 15), 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 15) and rewrite the equation as like the below:
= (1 x 15) + (1 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (15 + 9)/135
= 24/135
= 8/45
1/9 + 1/15 = 8/45

Hence,
1/9 plus 1/15 in fraction is 8/45