2/9 + 1/42 as a fraction

Learn how to find what is 2/9 plus 1/42 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/42 as a fraction and decimal.

Summary: 2/9 plus 1/42 = 31/126
Since both fractions have unequal denominators, 2/9 plus 1/42 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/42 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 42. 126 is the LCM of 9 and 42. Multiplying the LCM 126 with the numerators and denominators of both fractions (2/9 x 126/126) + (1/42 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 28/126 and for 1/42 is 3/126. By simplifying this fraction addition 28/126 + 3/126, it becomes 31/126.

Pie Chart Representation: 2/9 + 1/42 = 31/126

CALCULATION: 2/9 + 1/42 as a fraction
2/9 + 1/42 = (?)
2/9 + 1/42 = [(2 x 42) + (1 x 9)]/(9 x 42)
= (84 + 9)/378
= 93/378
= (3 x 31)/(3 x 126)
= 31/126
2/9 + 1/42 = 31/126
2/9 plus 1/42 as a fraction is 31/126.

where
2/9 is a proper fraction as an addend,
1/42 is a proper fraction as an addend,
31/126 is the sum of 2/9 and 1/42.

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2/9 plus 1/42 as a decimal
2/9 + 1/42 = 31/126
31/126 = 0.246
(2/9) + (1/42) as a decimal is 0.246

where
0.246 is the sum of 2/9 and 1/42.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/42 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/42 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/42) using LCM Method:
What is 2/9 plus 1/42 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/42

What to be found?
(2/9) + (1/42) = ?
Find what's the sum of 2/9 and 1/42.

step 2 Compare the denominators of fractions 2/9 and 1/42 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 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 2/9 and 1/42:
The LCM of 9 and 42 is 126.

step 4 Write the fractions 2/9 and 1/42 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/42
= [(2 x 126)/(9 x 126)] + [(1 x 126)/(42 x 126)]

step 5 Simplify the expression to have common denominator:
= 28/126 + 3/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (28/1 + 3/1)
= 1/126 x (28 + 3)

step 7Simplify the above expression further:
= 1/126 x 31
= 31/126
2/9 + 1/42 = 31/126

Hence,
2/9 plus 1/42 as a fraction is 31/126.

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2/9 + 1/42 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/42

What to be found?
(2/9)+(1/42) = ?
Find what's the sum of 2/9 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 9), and find the product of both denominators of Fraction A and Fraction B (9 x 42) and rewrite the equation as like the below:
= (2 x 42) + (1 x 9)/(9 x 42)

step 3 Simplify and rewrite the fraction:
= (84 + 9)/378
= 93/378
= 31/126
2/9 + 1/42 = 31/126

Hence,
2/9 plus 1/42 in fraction is 31/126