2/5 + 1/42 as a fraction

Learn how to find what is 2/5 plus 1/42 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/42 as a fraction and decimal.

Summary: 2/5 plus 1/42 = 89/210
Since both fractions have unequal denominators, 2/5 plus 1/42 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/42 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 42. 210 is the LCM of 5 and 42. Multiplying the LCM 210 with the numerators and denominators of both fractions (2/5 x 210/210) + (1/42 x 210/210), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 84/210 and for 1/42 is 5/210. By simplifying this fraction addition 84/210 + 5/210, it becomes 89/210.

Pie Chart Representation: 2/5 + 1/42 = 89/210

CALCULATION: 2/5 + 1/42 as a fraction
2/5 + 1/42 = (?)
2/5 + 1/42 = [(2 x 42) + (1 x 5)]/(5 x 42)
= (84 + 5)/210
= 89/210
2/5 + 1/42 = 89/210
2/5 plus 1/42 as a fraction is 89/210.

where
2/5 is a proper fraction as an addend,
1/42 is a proper fraction as an addend,
89/210 is the sum of 2/5 and 1/42.

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2/5 plus 1/42 as a decimal
2/5 + 1/42 = 89/210
89/210 = 0.4238
(2/5) + (1/42) as a decimal is 0.4238

where
0.4238 is the sum of 2/5 and 1/42.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/42 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/42 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/42) using LCM Method:
What is 2/5 plus 1/42 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/42

What to be found?
(2/5) + (1/42) = ?
Find what's the sum of 2/5 and 1/42.

step 2 Compare the denominators of fractions 2/5 and 1/42 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/42 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 1/42:
The LCM of 5 and 42 is 210.

step 4 Write the fractions 2/5 and 1/42 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/42
= [(2 x 210)/(5 x 210)] + [(1 x 210)/(42 x 210)]

step 5 Simplify the expression to have common denominator:
= 84/210 + 5/210

step 6 Take the common values out and rewrite the above expression like the below:
= 1/210 x (84/1 + 5/1)
= 1/210 x (84 + 5)

step 7Simplify the above expression further:
= 1/210 x 89
= 89/210
2/5 + 1/42 = 89/210

Hence,
2/5 plus 1/42 as a fraction is 89/210.

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2/5 + 1/42 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/42

What to be found?
(2/5)+(1/42) = ?
Find what's the sum of 2/5 and 1/42.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 42), 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 42) and rewrite the equation as like the below:
= (2 x 42) + (1 x 5)/(5 x 42)

step 3 Simplify and rewrite the fraction:
= (84 + 5)/210
2/5 + 1/42 = 89/210

Hence,
2/5 plus 1/42 in fraction is 89/210