1/5 + 2/98 as a fraction

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

Summary: 1/5 plus 2/98 = 54/245
Since both fractions have unequal denominators, 1/5 plus 2/98 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/98 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 (1/5 x 490/490) + (2/98 x 490/490), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 98/490 and for 2/98 is 10/490. By simplifying this fraction addition 98/490 + 10/490, it becomes 108/490.

Pie Chart Representation: 1/5 + 2/98 = 54/245

CALCULATION: 1/5 + 2/98 as a fraction
1/5 + 2/98 = (?)
1/5 + 2/98 = [(1 x 98) + (2 x 5)]/(5 x 98)
= (98 + 10)/490
= 108/490
= (2 x 54)/(2 x 245)
= 54/245
1/5 + 2/98 = 54/245
1/5 plus 2/98 as a fraction is 54/245.

where
1/5 is a proper fraction as an addend,
2/98 is a proper fraction as an addend,
54/245 is the sum of 1/5 and 2/98.

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1/5 plus 2/98 as a decimal
1/5 + 2/98 = 54/245
54/245 = 0.2204
(1/5) + (2/98) as a decimal is 0.2204

where
0.2204 is the sum of 1/5 and 2/98.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 98/490 + 10/490

step 6 Take the common values out and rewrite the above expression like the below:
= 1/490 x (98/1 + 10/1)
= 1/490 x (98 + 10)

step 7Simplify the above expression further:
= 1/490 x 108
= 108/490
= 54/245
1/5 + 2/98 = 54/245

Hence,
1/5 plus 2/98 as a fraction is 54/245.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 98), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (1 x 98) + (2 x 5)/(5 x 98)

step 3 Simplify and rewrite the fraction:
= (98 + 10)/490
= 108/490
= 54/245
1/5 + 2/98 = 54/245

Hence,
1/5 plus 2/98 in fraction is 54/245