3/2 + 11/10 as a fraction

Learn how to find what is 3/2 plus 11/10 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 + 11/10 as a fraction and decimal.

Summary: 3/2 plus 11/10 = 13/5
Since both fractions have unequal denominators, 3/2 plus 11/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 11/10 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 (3/2 x 10/10) + (11/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 15/10 and for 11/10 is 11/10. By simplifying this fraction addition 15/10 + 11/10, it becomes 26/10.

CALCULATION: 3/2 + 11/10 as a fraction
3/2 + 11/10 = (?)
3/2 + 11/10 = [(3 x 10) + (11 x 2)]/(2 x 10)
= (30 + 22)/20
= 52/20
= (4 x 13)/(4 x 5)
= 13/5
3/2 + 11/10 = 13/5
3/2 plus 11/10 as a fraction is 13/5.

where
3/2 is a improper fraction as an addend,
11/10 is a improper fraction as an addend,
13/5 is the sum of 3/2 and 11/10.

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3/2 plus 11/10 as a decimal
3/2 + 11/10 = 13/5
13/5 = 2.6
(3/2) + (11/10) as a decimal is 2.6

where
2.6 is the sum of 3/2 and 11/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 11/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 11/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/2) + (11/10) using LCM Method:
What is 3/2 plus 11/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 11/10

What to be found?
(3/2) + (11/10) = ?
Find what's the sum of 3/2 and 11/10.

step 2 Compare the denominators of fractions 3/2 and 11/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 11/10 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 3/2 and 11/10:
The LCM of 2 and 10 is 10.

step 4 Write the fractions 3/2 and 11/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 + 11/10
= [(3 x 10)/(2 x 10)] + [(11 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 15/10 + 11/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (15/1 + 11/1)
= 1/10 x (15 + 11)

step 7Simplify the above expression further:
= 1/10 x 26
= 26/10
= 13/5
3/2 + 11/10 = 13/5

Hence,
3/2 plus 11/10 as a fraction is 13/5.

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3/2 + 11/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 11/10

What to be found?
(3/2)+(11/10) = ?
Find what's the sum of 3/2 and 11/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), find the product of numerator of Fraction B and denominator of Fraction A (11 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:
= (3 x 10) + (11 x 2)/(2 x 10)

step 3 Simplify and rewrite the fraction:
= (30 + 22)/20
= 52/20
= 13/5
3/2 + 11/10 = 13/5

Hence,
3/2 plus 11/10 in fraction is 13/5