2/5 + 1/48 as a fraction

Learn how to find what is 2/5 plus 1/48 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/48 as a fraction and decimal.

Summary: 2/5 plus 1/48 = 101/240
Since both fractions have unequal denominators, 2/5 plus 1/48 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/48 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 48. 240 is the LCM of 5 and 48. Multiplying the LCM 240 with the numerators and denominators of both fractions (2/5 x 240/240) + (1/48 x 240/240), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 96/240 and for 1/48 is 5/240. By simplifying this fraction addition 96/240 + 5/240, it becomes 101/240.

Pie Chart Representation: 2/5 + 1/48 = 101/240

CALCULATION: 2/5 + 1/48 as a fraction
2/5 + 1/48 = (?)
2/5 + 1/48 = [(2 x 48) + (1 x 5)]/(5 x 48)
= (96 + 5)/240
= 101/240
2/5 + 1/48 = 101/240
2/5 plus 1/48 as a fraction is 101/240.

where
2/5 is a proper fraction as an addend,
1/48 is a proper fraction as an addend,
101/240 is the sum of 2/5 and 1/48.

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2/5 plus 1/48 as a decimal
2/5 + 1/48 = 101/240
101/240 = 0.4208
(2/5) + (1/48) as a decimal is 0.4208

where
0.4208 is the sum of 2/5 and 1/48.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/48 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/48 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/48) using LCM Method:
What is 2/5 plus 1/48 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/48

What to be found?
(2/5) + (1/48) = ?
Find what's the sum of 2/5 and 1/48.

step 2 Compare the denominators of fractions 2/5 and 1/48 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/48 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 1/48:
The LCM of 5 and 48 is 240.

step 4 Write the fractions 2/5 and 1/48 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/48
= [(2 x 240)/(5 x 240)] + [(1 x 240)/(48 x 240)]

step 5 Simplify the expression to have common denominator:
= 96/240 + 5/240

step 6 Take the common values out and rewrite the above expression like the below:
= 1/240 x (96/1 + 5/1)
= 1/240 x (96 + 5)

step 7Simplify the above expression further:
= 1/240 x 101
= 101/240
2/5 + 1/48 = 101/240

Hence,
2/5 plus 1/48 as a fraction is 101/240.

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2/5 + 1/48 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/48

What to be found?
(2/5)+(1/48) = ?
Find what's the sum of 2/5 and 1/48.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 48), 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 48) and rewrite the equation as like the below:
= (2 x 48) + (1 x 5)/(5 x 48)

step 3 Simplify and rewrite the fraction:
= (96 + 5)/240
2/5 + 1/48 = 101/240

Hence,
2/5 plus 1/48 in fraction is 101/240