5/2 + 15/7 as a fraction

Learn how to find what is 5/2 plus 15/7 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 + 15/7 as a fraction and decimal.

Summary: 5/2 plus 15/7 = 65/14
Since both fractions have unequal denominators, 5/2 plus 15/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 15/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 7. 14 is the LCM of 2 and 7. Multiplying the LCM 14 with the numerators and denominators of both fractions (5/2 x 14/14) + (15/7 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 35/14 and for 15/7 is 30/14. By simplifying this fraction addition 35/14 + 30/14, it becomes 65/14.

CALCULATION: 5/2 + 15/7 as a fraction
5/2 + 15/7 = (?)
5/2 + 15/7 = [(5 x 7) + (15 x 2)]/(2 x 7)
= (35 + 30)/14
= 65/14
5/2 + 15/7 = 65/14
5/2 plus 15/7 as a fraction is 65/14.

where
5/2 is a improper fraction as an addend,
15/7 is a improper fraction as an addend,
65/14 is the sum of 5/2 and 15/7.

---

5/2 plus 15/7 as a decimal
5/2 + 15/7 = 65/14
65/14 = 4.6429
(5/2) + (15/7) as a decimal is 4.6429

where
4.6429 is the sum of 5/2 and 15/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/2 and 15/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/2 plus 15/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/2) + (15/7) using LCM Method:
What is 5/2 plus 15/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 15/7

What to be found?
(5/2) + (15/7) = ?
Find what's the sum of 5/2 and 15/7.

step 2 Compare the denominators of fractions 5/2 and 15/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/2 and 15/7 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 5/2 and 15/7:
The LCM of 2 and 7 is 14.

step 4 Write the fractions 5/2 and 15/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 + 15/7
= [(5 x 14)/(2 x 14)] + [(15 x 14)/(7 x 14)]

step 5 Simplify the expression to have common denominator:
= 35/14 + 30/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (35/1 + 30/1)
= 1/14 x (35 + 30)

step 7Simplify the above expression further:
= 1/14 x 65
= 65/14
5/2 + 15/7 = 65/14

Hence,
5/2 plus 15/7 as a fraction is 65/14.

---

5/2 + 15/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 15/7

What to be found?
(5/2)+(15/7) = ?
Find what's the sum of 5/2 and 15/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 7), find the product of numerator of Fraction B and denominator of Fraction A (15 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 7) and rewrite the equation as like the below:
= (5 x 7) + (15 x 2)/(2 x 7)

step 3 Simplify and rewrite the fraction:
= (35 + 30)/14
5/2 + 15/7 = 65/14

Hence,
5/2 plus 15/7 in fraction is 65/14