7/2 + 10 as a fraction

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

Summary: 7/2 plus 10 = 27/2
Since both fractions have unequal denominators, 7/2 plus 10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 1. 2 is the LCM of 2 and 1. Multiplying the LCM 2 with the numerators and denominators of both fractions (7/2 x 2/2) + (10 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 7/2 and for 10 is 20/2. By simplifying this fraction addition 7/2 + 20/2, it becomes 27/2.

CALCULATION: 7/2 + 10 as a fraction
7/2 + 10 = (?)
7/2 + 10/1 = [(7 x 1) + (10 x 2)]/(2 x 1)
= (7 + 20)/2
= 27/2
7/2 + 10 = 27/2
7/2 plus 10 as a fraction is 27/2.

where
7/2 is a improper fraction as an addend,
10 is a whole number as an addend,
27/2 is the sum of 7/2 and 10.

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7/2 plus 10 as a decimal
7/2 + 10 = 27/2
27/2 = 13.5
(7/2) + (10) as a decimal is 13.5

where
13.5 is the sum of 7/2 and 10.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/2 and 10 by adding fraction to a whole number . The sum in fraction form for 7/2 plus 10/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 7/2 and 10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/2 and 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 7/2 and 10:
The LCM of 2 and 1 is 2.

step 4 Write the fractions 7/2 and 10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 + 10
= [(7 x 2)/(2 x 2)] + [(10 x 2)/(1 x 2)]

step 5 Simplify the expression to have common denominator:
= 7/2 + 20/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (7/1 + 20/1)
= 1/2 x (7 + 20)

step 7Simplify the above expression further:
= 1/2 x 27
= 27/2
7/2 + 10 = 27/2

Hence,
7/2 plus 10 as a fraction is 27/2.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 1), find the product of numerator of Fraction B and denominator of Fraction A (10 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 1) and rewrite the equation as like the below:
= (7 x 1) + (10 x 2)/(2 x 1)

step 3 Simplify and rewrite the fraction:
= (7 + 20)/2
7/2 + 10 = 27/2

Hence,
7/2 plus 10 in fraction is 27/2