3/2 + 11/14 as a fraction

Learn how to find what is 3/2 plus 11/14 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 + 11/14 as a fraction and decimal.

Summary: 3/2 plus 11/14 = 16/7
Since both fractions have unequal denominators, 3/2 plus 11/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 11/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 14. 14 is the LCM of 2 and 14. Multiplying the LCM 14 with the numerators and denominators of both fractions (3/2 x 14/14) + (11/14 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 21/14 and for 11/14 is 11/14. By simplifying this fraction addition 21/14 + 11/14, it becomes 32/14.

CALCULATION: 3/2 + 11/14 as a fraction
3/2 + 11/14 = (?)
3/2 + 11/14 = [(3 x 14) + (11 x 2)]/(2 x 14)
= (42 + 22)/28
= 64/28
= (4 x 16)/(4 x 7)
= 16/7
3/2 + 11/14 = 16/7
3/2 plus 11/14 as a fraction is 16/7.

where
3/2 is a improper fraction as an addend,
11/14 is a proper fraction as an addend,
16/7 is the sum of 3/2 and 11/14.

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3/2 plus 11/14 as a decimal
3/2 + 11/14 = 16/7
16/7 = 2.2857
(3/2) + (11/14) as a decimal is 2.2857

where
2.2857 is the sum of 3/2 and 11/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 11/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 11/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/2) + (11/14) using LCM Method:
What is 3/2 plus 11/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 11/14

What to be found?
(3/2) + (11/14) = ?
Find what's the sum of 3/2 and 11/14.

step 2 Compare the denominators of fractions 3/2 and 11/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 11/14 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 11/14:
The LCM of 2 and 14 is 14.

step 4 Write the fractions 3/2 and 11/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 + 11/14
= [(3 x 14)/(2 x 14)] + [(11 x 14)/(14 x 14)]

step 5 Simplify the expression to have common denominator:
= 21/14 + 11/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (21/1 + 11/1)
= 1/14 x (21 + 11)

step 7Simplify the above expression further:
= 1/14 x 32
= 32/14
= 16/7
3/2 + 11/14 = 16/7

Hence,
3/2 plus 11/14 as a fraction is 16/7.

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3/2 + 11/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 11/14

What to be found?
(3/2)+(11/14) = ?
Find what's the sum of 3/2 and 11/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 14), 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 14) and rewrite the equation as like the below:
= (3 x 14) + (11 x 2)/(2 x 14)

step 3 Simplify and rewrite the fraction:
= (42 + 22)/28
= 64/28
= 16/7
3/2 + 11/14 = 16/7

Hence,
3/2 plus 11/14 in fraction is 16/7