3/5 + 2/15 as a fraction

Learn how to find what is 3/5 plus 2/15 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 2/15 as a fraction and decimal.

Summary: 3/5 plus 2/15 = 11/15
Since both fractions have unequal denominators, 3/5 plus 2/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 2/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 15. 15 is the LCM of 5 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (3/5 x 15/15) + (2/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 9/15 and for 2/15 is 2/15. By simplifying this fraction addition 9/15 + 2/15, it becomes 11/15.

Pie Chart Representation: 3/5 + 2/15 = 11/15

CALCULATION: 3/5 + 2/15 as a fraction
3/5 + 2/15 = (?)
3/5 + 2/15 = [(3 x 15) + (2 x 5)]/(5 x 15)
= (45 + 10)/75
= 55/75
= (5 x 11)/(5 x 15)
= 11/15
3/5 + 2/15 = 11/15
3/5 plus 2/15 as a fraction is 11/15.

where
3/5 is a proper fraction as an addend,
2/15 is a proper fraction as an addend,
11/15 is the sum of 3/5 and 2/15.

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3/5 plus 2/15 as a decimal
3/5 + 2/15 = 11/15
11/15 = 0.7333
(3/5) + (2/15) as a decimal is 0.7333

where
0.7333 is the sum of 3/5 and 2/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/5 and 2/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/5 plus 2/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/5) + (2/15) using LCM Method:
What is 3/5 plus 2/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/15

What to be found?
(3/5) + (2/15) = ?
Find what's the sum of 3/5 and 2/15.

step 2 Compare the denominators of fractions 3/5 and 2/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 2/15 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 3/5 and 2/15:
The LCM of 5 and 15 is 15.

step 4 Write the fractions 3/5 and 2/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 + 2/15
= [(3 x 15)/(5 x 15)] + [(2 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 9/15 + 2/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (9/1 + 2/1)
= 1/15 x (9 + 2)

step 7Simplify the above expression further:
= 1/15 x 11
= 11/15
3/5 + 2/15 = 11/15

Hence,
3/5 plus 2/15 as a fraction is 11/15.

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3/5 + 2/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/15

What to be found?
(3/5)+(2/15) = ?
Find what's the sum of 3/5 and 2/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 15), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 15) and rewrite the equation as like the below:
= (3 x 15) + (2 x 5)/(5 x 15)

step 3 Simplify and rewrite the fraction:
= (45 + 10)/75
= 55/75
= 11/15
3/5 + 2/15 = 11/15

Hence,
3/5 plus 2/15 in fraction is 11/15