2/5 + 1/97 as a fraction

Learn how to find what is 2/5 plus 1/97 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/97 as a fraction and decimal.

Summary: 2/5 plus 1/97 = 199/485
Since both fractions have unequal denominators, 2/5 plus 1/97 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/97 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 97. 485 is the LCM of 5 and 97. Multiplying the LCM 485 with the numerators and denominators of both fractions (2/5 x 485/485) + (1/97 x 485/485), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 194/485 and for 1/97 is 5/485. By simplifying this fraction addition 194/485 + 5/485, it becomes 199/485.

Pie Chart Representation: 2/5 + 1/97 = 199/485

CALCULATION: 2/5 + 1/97 as a fraction
2/5 + 1/97 = (?)
2/5 + 1/97 = [(2 x 97) + (1 x 5)]/(5 x 97)
= (194 + 5)/485
= 199/485
2/5 + 1/97 = 199/485
2/5 plus 1/97 as a fraction is 199/485.

where
2/5 is a proper fraction as an addend,
1/97 is a proper fraction as an addend,
199/485 is the sum of 2/5 and 1/97.

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2/5 plus 1/97 as a decimal
2/5 + 1/97 = 199/485
199/485 = 0.4103
(2/5) + (1/97) as a decimal is 0.4103

where
0.4103 is the sum of 2/5 and 1/97.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/97 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/97 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/97) using LCM Method:
What is 2/5 plus 1/97 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/97

What to be found?
(2/5) + (1/97) = ?
Find what's the sum of 2/5 and 1/97.

step 2 Compare the denominators of fractions 2/5 and 1/97 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/97 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 1/97:
The LCM of 5 and 97 is 485.

step 4 Write the fractions 2/5 and 1/97 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/97
= [(2 x 485)/(5 x 485)] + [(1 x 485)/(97 x 485)]

step 5 Simplify the expression to have common denominator:
= 194/485 + 5/485

step 6 Take the common values out and rewrite the above expression like the below:
= 1/485 x (194/1 + 5/1)
= 1/485 x (194 + 5)

step 7Simplify the above expression further:
= 1/485 x 199
= 199/485
2/5 + 1/97 = 199/485

Hence,
2/5 plus 1/97 as a fraction is 199/485.

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2/5 + 1/97 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/97

What to be found?
(2/5)+(1/97) = ?
Find what's the sum of 2/5 and 1/97.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 97), 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 97) and rewrite the equation as like the below:
= (2 x 97) + (1 x 5)/(5 x 97)

step 3 Simplify and rewrite the fraction:
= (194 + 5)/485
2/5 + 1/97 = 199/485

Hence,
2/5 plus 1/97 in fraction is 199/485