2/5 + 1/24 as a fraction

Learn how to find what is 2/5 plus 1/24 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/24 as a fraction and decimal.

Summary: 2/5 plus 1/24 = 53/120
Since both fractions have unequal denominators, 2/5 plus 1/24 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/24 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 24. 120 is the LCM of 5 and 24. Multiplying the LCM 120 with the numerators and denominators of both fractions (2/5 x 120/120) + (1/24 x 120/120), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 48/120 and for 1/24 is 5/120. By simplifying this fraction addition 48/120 + 5/120, it becomes 53/120.

Pie Chart Representation: 2/5 + 1/24 = 53/120

CALCULATION: 2/5 + 1/24 as a fraction
2/5 + 1/24 = (?)
2/5 + 1/24 = [(2 x 24) + (1 x 5)]/(5 x 24)
= (48 + 5)/120
= 53/120
2/5 + 1/24 = 53/120
2/5 plus 1/24 as a fraction is 53/120.

where
2/5 is a proper fraction as an addend,
1/24 is a proper fraction as an addend,
53/120 is the sum of 2/5 and 1/24.

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2/5 plus 1/24 as a decimal
2/5 + 1/24 = 53/120
53/120 = 0.4417
(2/5) + (1/24) as a decimal is 0.4417

where
0.4417 is the sum of 2/5 and 1/24.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/24 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/24 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/24) using LCM Method:
What is 2/5 plus 1/24 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/24

What to be found?
(2/5) + (1/24) = ?
Find what's the sum of 2/5 and 1/24.

step 2 Compare the denominators of fractions 2/5 and 1/24 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/24 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 2/5 and 1/24:
The LCM of 5 and 24 is 120.

step 4 Write the fractions 2/5 and 1/24 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/24
= [(2 x 120)/(5 x 120)] + [(1 x 120)/(24 x 120)]

step 5 Simplify the expression to have common denominator:
= 48/120 + 5/120

step 6 Take the common values out and rewrite the above expression like the below:
= 1/120 x (48/1 + 5/1)
= 1/120 x (48 + 5)

step 7Simplify the above expression further:
= 1/120 x 53
= 53/120
2/5 + 1/24 = 53/120

Hence,
2/5 plus 1/24 as a fraction is 53/120.

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2/5 + 1/24 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/24

What to be found?
(2/5)+(1/24) = ?
Find what's the sum of 2/5 and 1/24.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 24), 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 24) and rewrite the equation as like the below:
= (2 x 24) + (1 x 5)/(5 x 24)

step 3 Simplify and rewrite the fraction:
= (48 + 5)/120
2/5 + 1/24 = 53/120

Hence,
2/5 plus 1/24 in fraction is 53/120