What is 1/2 + 12 in fraction?
1/2 + 12 equals to 25/2 in fraction form.
Learn how to find what is 1/2 plus 12 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 12 as a fraction and decimal.
Summary: 1/2 plus 12 = 25/2
Since both fractions have unequal denominators, 1/2 plus 12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 12 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 (1/2 x 2/2) + (12 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 1/2 and for 12 is 24/2. By simplifying this fraction addition 1/2 + 24/2, it becomes 25/2.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 12 by adding fraction to a whole number . The sum in fraction form for 1/2 plus 12/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/2) + (12) using LCM Method:
What is 1/2 plus 12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 12/1
What to be found?
(1/2) + (12) = ?
Find what's the sum of 1/2 and 12.
step 2 Compare the denominators of fractions 1/2 and 12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 12 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 1/2 and 12:
The LCM of 2 and 1 is 2.
step 4 Write the fractions 1/2 and 12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 12
= [(1 x 2)/(2 x 2)] + [(12 x 2)/(1 x 2)]
step 5 Simplify the expression to have common denominator:
= 1/2 + 24/2
step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (1/1 + 24/1)
= 1/2 x (1 + 24)
step 7Simplify the above expression further:
= 1/2 x 25
= 25/2
1/2 + 12 = 25/2
Hence,
1/2 plus 12 as a fraction is 25/2.
1/2 + 12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 12/1
What to be found?
(1/2)+(12) = ?
Find what's the sum of 1/2 and 12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (12 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:
= (1 x 1) + (12 x 2)/(2 x 1)
step 3 Simplify and rewrite the fraction:
= (1 + 24)/2
1/2 + 12 = 25/2
Hence,
1/2 plus 12 in fraction is 25/2