2/5 + 1/98 as a fraction

Learn how to find what is 2/5 plus 1/98 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/98 as a fraction and decimal.

Summary: 2/5 plus 1/98 = 201/490
Since both fractions have unequal denominators, 2/5 plus 1/98 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/98 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 98. 490 is the LCM of 5 and 98. Multiplying the LCM 490 with the numerators and denominators of both fractions (2/5 x 490/490) + (1/98 x 490/490), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 196/490 and for 1/98 is 5/490. By simplifying this fraction addition 196/490 + 5/490, it becomes 201/490.

Pie Chart Representation: 2/5 + 1/98 = 201/490

CALCULATION: 2/5 + 1/98 as a fraction
2/5 + 1/98 = (?)
2/5 + 1/98 = [(2 x 98) + (1 x 5)]/(5 x 98)
= (196 + 5)/490
= 201/490
2/5 + 1/98 = 201/490
2/5 plus 1/98 as a fraction is 201/490.

where
2/5 is a proper fraction as an addend,
1/98 is a proper fraction as an addend,
201/490 is the sum of 2/5 and 1/98.

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2/5 plus 1/98 as a decimal
2/5 + 1/98 = 201/490
201/490 = 0.4102
(2/5) + (1/98) as a decimal is 0.4102

where
0.4102 is the sum of 2/5 and 1/98.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/98 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/98 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/98) using LCM Method:
What is 2/5 plus 1/98 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/98

What to be found?
(2/5) + (1/98) = ?
Find what's the sum of 2/5 and 1/98.

step 2 Compare the denominators of fractions 2/5 and 1/98 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/98 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 1/98:
The LCM of 5 and 98 is 490.

step 4 Write the fractions 2/5 and 1/98 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/98
= [(2 x 490)/(5 x 490)] + [(1 x 490)/(98 x 490)]

step 5 Simplify the expression to have common denominator:
= 196/490 + 5/490

step 6 Take the common values out and rewrite the above expression like the below:
= 1/490 x (196/1 + 5/1)
= 1/490 x (196 + 5)

step 7Simplify the above expression further:
= 1/490 x 201
= 201/490
2/5 + 1/98 = 201/490

Hence,
2/5 plus 1/98 as a fraction is 201/490.

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2/5 + 1/98 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/98

What to be found?
(2/5)+(1/98) = ?
Find what's the sum of 2/5 and 1/98.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 98), 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 98) and rewrite the equation as like the below:
= (2 x 98) + (1 x 5)/(5 x 98)

step 3 Simplify and rewrite the fraction:
= (196 + 5)/490
2/5 + 1/98 = 201/490

Hence,
2/5 plus 1/98 in fraction is 201/490