15/2 + 7/10 as a fraction

Learn how to find what is 15/2 plus 7/10 in fraction form just in a few minutes. We have covered the easiest method to write 15/2 + 7/10 as a fraction and decimal.

Summary: 15/2 plus 7/10 = 41/5
Since both fractions have unequal denominators, 15/2 plus 7/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/2 and fraction 7/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 10. 10 is the LCM of 2 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (15/2 x 10/10) + (7/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 15/2 is 75/10 and for 7/10 is 7/10. By simplifying this fraction addition 75/10 + 7/10, it becomes 82/10.

CALCULATION: 15/2 + 7/10 as a fraction
15/2 + 7/10 = (?)
15/2 + 7/10 = [(15 x 10) + (7 x 2)]/(2 x 10)
= (150 + 14)/20
= 164/20
= (4 x 41)/(4 x 5)
= 41/5
15/2 + 7/10 = 41/5
15/2 plus 7/10 as a fraction is 41/5.

where
15/2 is a improper fraction as an addend,
7/10 is a proper fraction as an addend,
41/5 is the sum of 15/2 and 7/10.

---

15/2 plus 7/10 as a decimal
15/2 + 7/10 = 41/5
41/5 = 8.2
(15/2) + (7/10) as a decimal is 8.2

where
8.2 is the sum of 15/2 and 7/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/2 and 7/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/2 plus 7/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/2) + (7/10) using LCM Method:
What is 15/2 plus 7/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 7/10

What to be found?
(15/2) + (7/10) = ?
Find what's the sum of 15/2 and 7/10.

step 2 Compare the denominators of fractions 15/2 and 7/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/2 and 7/10 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 15/2 and 7/10:
The LCM of 2 and 10 is 10.

step 4 Write the fractions 15/2 and 7/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/2 + 7/10
= [(15 x 10)/(2 x 10)] + [(7 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 75/10 + 7/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (75/1 + 7/1)
= 1/10 x (75 + 7)

step 7Simplify the above expression further:
= 1/10 x 82
= 82/10
= 41/5
15/2 + 7/10 = 41/5

Hence,
15/2 plus 7/10 as a fraction is 41/5.

---

15/2 + 7/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 7/10

What to be found?
(15/2)+(7/10) = ?
Find what's the sum of 15/2 and 7/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 10), find the product of numerator of Fraction B and denominator of Fraction A (7 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 10) and rewrite the equation as like the below:
= (15 x 10) + (7 x 2)/(2 x 10)

step 3 Simplify and rewrite the fraction:
= (150 + 14)/20
= 164/20
= 41/5
15/2 + 7/10 = 41/5

Hence,
15/2 plus 7/10 in fraction is 41/5