1/3 + 2/24 as a fraction

Learn how to find what is 1/3 plus 2/24 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/24 as a fraction and decimal.

Summary: 1/3 plus 2/24 = 5/12
Since both fractions have unequal denominators, 1/3 plus 2/24 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/24 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 24. 24 is the LCM of 3 and 24. Multiplying the LCM 24 with the numerators and denominators of both fractions (1/3 x 24/24) + (2/24 x 24/24), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 8/24 and for 2/24 is 2/24. By simplifying this fraction addition 8/24 + 2/24, it becomes 10/24.

Pie Chart Representation: 1/3 + 2/24 = 5/12

CALCULATION: 1/3 + 2/24 as a fraction
1/3 + 2/24 = (?)
1/3 + 2/24 = [(1 x 24) + (2 x 3)]/(3 x 24)
= (24 + 6)/72
= 30/72
= (6 x 5)/(6 x 12)
= 5/12
1/3 + 2/24 = 5/12
1/3 plus 2/24 as a fraction is 5/12.

where
1/3 is a proper fraction as an addend,
2/24 is a proper fraction as an addend,
5/12 is the sum of 1/3 and 2/24.

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1/3 plus 2/24 as a decimal
1/3 + 2/24 = 5/12
5/12 = 0.4167
(1/3) + (2/24) as a decimal is 0.4167

where
0.4167 is the sum of 1/3 and 2/24.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/24 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/24 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/24) using LCM Method:
What is 1/3 plus 2/24 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/24

What to be found?
(1/3) + (2/24) = ?
Find what's the sum of 1/3 and 2/24.

step 2 Compare the denominators of fractions 1/3 and 2/24 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 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 1/3 and 2/24:
The LCM of 3 and 24 is 24.

step 4 Write the fractions 1/3 and 2/24 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/24
= [(1 x 24)/(3 x 24)] + [(2 x 24)/(24 x 24)]

step 5 Simplify the expression to have common denominator:
= 8/24 + 2/24

step 6 Take the common values out and rewrite the above expression like the below:
= 1/24 x (8/1 + 2/1)
= 1/24 x (8 + 2)

step 7Simplify the above expression further:
= 1/24 x 10
= 10/24
= 5/12
1/3 + 2/24 = 5/12

Hence,
1/3 plus 2/24 as a fraction is 5/12.

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1/3 + 2/24 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/24

What to be found?
(1/3)+(2/24) = ?
Find what's the sum of 1/3 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 3), and find the product of both denominators of Fraction A and Fraction B (3 x 24) and rewrite the equation as like the below:
= (1 x 24) + (2 x 3)/(3 x 24)

step 3 Simplify and rewrite the fraction:
= (24 + 6)/72
= 30/72
= 5/12
1/3 + 2/24 = 5/12

Hence,
1/3 plus 2/24 in fraction is 5/12