What is 1/2 + 2/24 in fraction?
1/2 + 2/24 equals to 7/12 in fraction form.
Learn how to find what is 1/2 plus 2/24 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 2/24 as a fraction and decimal.
Summary: 1/2 plus 2/24 = 7/12
Since both fractions have unequal denominators, 1/2 plus 2/24 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 2/24 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 24. 24 is the LCM of 2 and 24. Multiplying the LCM 24 with the numerators and denominators of both fractions (1/2 x 24/24) + (2/24 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 12/24 and for 2/24 is 2/24. By simplifying this fraction addition 12/24 + 2/24, it becomes 14/24.
Pie Chart Representation: 1/2 + 2/24 = 7/12
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 2/24 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 2/24 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/2) + (2/24) using LCM Method:
What is 1/2 plus 2/24 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/24
What to be found?
(1/2) + (2/24) = ?
Find what's the sum of 1/2 and 2/24.
step 2 Compare the denominators of fractions 1/2 and 2/24 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 2/24 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 2/24:
The LCM of 2 and 24 is 24.
step 4 Write the fractions 1/2 and 2/24 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 2/24
= [(1 x 24)/(2 x 24)] + [(2 x 24)/(24 x 24)]
step 5 Simplify the expression to have common denominator:
= 12/24 + 2/24
step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (12/1 + 2/1)
= 1/24 x (12 + 2)
step 7Simplify the above expression further:
= 1/24 x 14
= 14/24
= 7/12
1/2 + 2/24 = 7/12
Hence,
1/2 plus 2/24 as a fraction is 7/12.
1/2 + 2/24 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/24
What to be found?
(1/2)+(2/24) = ?
Find what's the sum of 1/2 and 2/24.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 24), find the product of numerator of Fraction B and denominator of Fraction A (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 24) and rewrite the equation as like the below:
= (1 x 24) + (2 x 2)/(2 x 24)
step 3 Simplify and rewrite the fraction:
= (24 + 4)/48
= 28/48
= 7/12
1/2 + 2/24 = 7/12
Hence,
1/2 plus 2/24 in fraction is 7/12