12/5 + 1/2 as a fraction

Learn how to find what is 12/5 plus 1/2 in fraction form just in a few minutes. We have covered the easiest method to write 12/5 + 1/2 as a fraction and decimal.

Summary: 12/5 plus 1/2 = 29/10
Since both fractions have unequal denominators, 12/5 plus 1/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/5 and fraction 1/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 2. 10 is the LCM of 5 and 2. Multiplying the LCM 10 with the numerators and denominators of both fractions (12/5 x 10/10) + (1/2 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 12/5 is 24/10 and for 1/2 is 5/10. By simplifying this fraction addition 24/10 + 5/10, it becomes 29/10.

CALCULATION: 12/5 + 1/2 as a fraction
12/5 + 1/2 = (?)
12/5 + 1/2 = [(12 x 2) + (1 x 5)]/(5 x 2)
= (24 + 5)/10
= 29/10
12/5 + 1/2 = 29/10
12/5 plus 1/2 as a fraction is 29/10.

where
12/5 is a improper fraction as an addend,
1/2 is a proper fraction as an addend,
29/10 is the sum of 12/5 and 1/2.

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12/5 plus 1/2 as a decimal
12/5 + 1/2 = 29/10
29/10 = 2.9
(12/5) + (1/2) as a decimal is 2.9

where
2.9 is the sum of 12/5 and 1/2.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/5 and 1/2 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/5 plus 1/2 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/5) + (1/2) using LCM Method:
What is 12/5 plus 1/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 1/2

What to be found?
(12/5) + (1/2) = ?
Find what's the sum of 12/5 and 1/2.

step 2 Compare the denominators of fractions 12/5 and 1/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/5 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 12/5 and 1/2:
The LCM of 5 and 2 is 10.

step 4 Write the fractions 12/5 and 1/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/5 + 1/2
= [(12 x 10)/(5 x 10)] + [(1 x 10)/(2 x 10)]

step 5 Simplify the expression to have common denominator:
= 24/10 + 5/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (24/1 + 5/1)
= 1/10 x (24 + 5)

step 7Simplify the above expression further:
= 1/10 x 29
= 29/10
12/5 + 1/2 = 29/10

Hence,
12/5 plus 1/2 as a fraction is 29/10.

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12/5 + 1/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 1/2

What to be found?
(12/5)+(1/2) = ?
Find what's the sum of 12/5 and 1/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 2), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 2) and rewrite the equation as like the below:
= (12 x 2) + (1 x 5)/(5 x 2)

step 3 Simplify and rewrite the fraction:
= (24 + 5)/10
12/5 + 1/2 = 29/10

Hence,
12/5 plus 1/2 in fraction is 29/10