2/9 + 1/46 as a fraction

Learn how to find what is 2/9 plus 1/46 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/46 as a fraction and decimal.

Summary: 2/9 plus 1/46 = 101/414
Since both fractions have unequal denominators, 2/9 plus 1/46 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/46 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 46. 414 is the LCM of 9 and 46. Multiplying the LCM 414 with the numerators and denominators of both fractions (2/9 x 414/414) + (1/46 x 414/414), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 92/414 and for 1/46 is 9/414. By simplifying this fraction addition 92/414 + 9/414, it becomes 101/414.

Pie Chart Representation: 2/9 + 1/46 = 101/414

CALCULATION: 2/9 + 1/46 as a fraction
2/9 + 1/46 = (?)
2/9 + 1/46 = [(2 x 46) + (1 x 9)]/(9 x 46)
= (92 + 9)/414
= 101/414
2/9 + 1/46 = 101/414
2/9 plus 1/46 as a fraction is 101/414.

where
2/9 is a proper fraction as an addend,
1/46 is a proper fraction as an addend,
101/414 is the sum of 2/9 and 1/46.

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2/9 plus 1/46 as a decimal
2/9 + 1/46 = 101/414
101/414 = 0.244
(2/9) + (1/46) as a decimal is 0.244

where
0.244 is the sum of 2/9 and 1/46.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/46 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/46 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/46) using LCM Method:
What is 2/9 plus 1/46 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/46

What to be found?
(2/9) + (1/46) = ?
Find what's the sum of 2/9 and 1/46.

step 2 Compare the denominators of fractions 2/9 and 1/46 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/46 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 1/46:
The LCM of 9 and 46 is 414.

step 4 Write the fractions 2/9 and 1/46 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/46
= [(2 x 414)/(9 x 414)] + [(1 x 414)/(46 x 414)]

step 5 Simplify the expression to have common denominator:
= 92/414 + 9/414

step 6 Take the common values out and rewrite the above expression like the below:
= 1/414 x (92/1 + 9/1)
= 1/414 x (92 + 9)

step 7Simplify the above expression further:
= 1/414 x 101
= 101/414
2/9 + 1/46 = 101/414

Hence,
2/9 plus 1/46 as a fraction is 101/414.

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2/9 + 1/46 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/46

What to be found?
(2/9)+(1/46) = ?
Find what's the sum of 2/9 and 1/46.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 46), 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 46) and rewrite the equation as like the below:
= (2 x 46) + (1 x 9)/(9 x 46)

step 3 Simplify and rewrite the fraction:
= (92 + 9)/414
2/9 + 1/46 = 101/414

Hence,
2/9 plus 1/46 in fraction is 101/414