14/3 + 1/2 as a fraction

Learn how to find what is 14/3 plus 1/2 in fraction form just in a few minutes. We have covered the easiest method to write 14/3 + 1/2 as a fraction and decimal.

Summary: 14/3 plus 1/2 = 31/6
Since both fractions have unequal denominators, 14/3 plus 1/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/3 and fraction 1/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 2. 6 is the LCM of 3 and 2. Multiplying the LCM 6 with the numerators and denominators of both fractions (14/3 x 6/6) + (1/2 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 14/3 is 28/6 and for 1/2 is 3/6. By simplifying this fraction addition 28/6 + 3/6, it becomes 31/6.

CALCULATION: 14/3 + 1/2 as a fraction
14/3 + 1/2 = (?)
14/3 + 1/2 = [(14 x 2) + (1 x 3)]/(3 x 2)
= (28 + 3)/6
= 31/6
14/3 + 1/2 = 31/6
14/3 plus 1/2 as a fraction is 31/6.

where
14/3 is a improper fraction as an addend,
1/2 is a proper fraction as an addend,
31/6 is the sum of 14/3 and 1/2.

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14/3 plus 1/2 as a decimal
14/3 + 1/2 = 31/6
31/6 = 5.1667
(14/3) + (1/2) as a decimal is 5.1667

where
5.1667 is the sum of 14/3 and 1/2.

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

(14/3) + (1/2) using LCM Method:
What is 14/3 plus 1/2 as a fraction?

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

What to be found?
(14/3) + (1/2) = ?
Find what's the sum of 14/3 and 1/2.

step 2 Compare the denominators of fractions 14/3 and 1/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/3 and 1/2 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 14/3 and 1/2:
The LCM of 3 and 2 is 6.

step 4 Write the fractions 14/3 and 1/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/3 + 1/2
= [(14 x 6)/(3 x 6)] + [(1 x 6)/(2 x 6)]

step 5 Simplify the expression to have common denominator:
= 28/6 + 3/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (28/1 + 3/1)
= 1/6 x (28 + 3)

step 7Simplify the above expression further:
= 1/6 x 31
= 31/6
14/3 + 1/2 = 31/6

Hence,
14/3 plus 1/2 as a fraction is 31/6.

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

What to be found?
(14/3)+(1/2) = ?
Find what's the sum of 14/3 and 1/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 2), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 2) and rewrite the equation as like the below:
= (14 x 2) + (1 x 3)/(3 x 2)

step 3 Simplify and rewrite the fraction:
= (28 + 3)/6
14/3 + 1/2 = 31/6

Hence,
14/3 plus 1/2 in fraction is 31/6