1/2 + 1/15 as a fraction

Learn how to find what is 1/2 plus 1/15 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/15 as a fraction and decimal.

Summary: 1/2 plus 1/15 = 17/30
Since both fractions have unequal denominators, 1/2 plus 1/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 15. 30 is the LCM of 2 and 15. Multiplying the LCM 30 with the numerators and denominators of both fractions (1/2 x 30/30) + (1/15 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 15/30 and for 1/15 is 2/30. By simplifying this fraction addition 15/30 + 2/30, it becomes 17/30.

Pie Chart Representation: 1/2 + 1/15 = 17/30

CALCULATION: 1/2 + 1/15 as a fraction
1/2 + 1/15 = (?)
1/2 + 1/15 = [(1 x 15) + (1 x 2)]/(2 x 15)
= (15 + 2)/30
= 17/30
1/2 + 1/15 = 17/30
1/2 plus 1/15 as a fraction is 17/30.

where
1/2 is a proper fraction as an addend,
1/15 is a proper fraction as an addend,
17/30 is the sum of 1/2 and 1/15.

---

1/2 plus 1/15 as a decimal
1/2 + 1/15 = 17/30
17/30 = 0.5667
(1/2) + (1/15) as a decimal is 0.5667

where
0.5667 is the sum of 1/2 and 1/15.

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

(1/2) + (1/15) using LCM Method:
What is 1/2 plus 1/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/15

What to be found?
(1/2) + (1/15) = ?
Find what's the sum of 1/2 and 1/15.

step 2 Compare the denominators of fractions 1/2 and 1/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 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 1/2 and 1/15:
The LCM of 2 and 15 is 30.

step 4 Write the fractions 1/2 and 1/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/15
= [(1 x 30)/(2 x 30)] + [(1 x 30)/(15 x 30)]

step 5 Simplify the expression to have common denominator:
= 15/30 + 2/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (15/1 + 2/1)
= 1/30 x (15 + 2)

step 7Simplify the above expression further:
= 1/30 x 17
= 17/30
1/2 + 1/15 = 17/30

Hence,
1/2 plus 1/15 as a fraction is 17/30.

---

1/2 + 1/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/15

What to be found?
(1/2)+(1/15) = ?
Find what's the sum of 1/2 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 2), and find the product of both denominators of Fraction A and Fraction B (2 x 15) and rewrite the equation as like the below:
= (1 x 15) + (1 x 2)/(2 x 15)

step 3 Simplify and rewrite the fraction:
= (15 + 2)/30
1/2 + 1/15 = 17/30

Hence,
1/2 plus 1/15 in fraction is 17/30