2/9 + 1/98 as a fraction

Learn how to find what is 2/9 plus 1/98 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/98 as a fraction and decimal.

Summary: 2/9 plus 1/98 = 205/882
Since both fractions have unequal denominators, 2/9 plus 1/98 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/98 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 98. 882 is the LCM of 9 and 98. Multiplying the LCM 882 with the numerators and denominators of both fractions (2/9 x 882/882) + (1/98 x 882/882), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 196/882 and for 1/98 is 9/882. By simplifying this fraction addition 196/882 + 9/882, it becomes 205/882.

Pie Chart Representation: 2/9 + 1/98 = 205/882

CALCULATION: 2/9 + 1/98 as a fraction
2/9 + 1/98 = (?)
2/9 + 1/98 = [(2 x 98) + (1 x 9)]/(9 x 98)
= (196 + 9)/882
= 205/882
2/9 + 1/98 = 205/882
2/9 plus 1/98 as a fraction is 205/882.

where
2/9 is a proper fraction as an addend,
1/98 is a proper fraction as an addend,
205/882 is the sum of 2/9 and 1/98.

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2/9 plus 1/98 as a decimal
2/9 + 1/98 = 205/882
205/882 = 0.2324
(2/9) + (1/98) as a decimal is 0.2324

where
0.2324 is the sum of 2/9 and 1/98.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/98 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/98 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/98) using LCM Method:
What is 2/9 plus 1/98 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/98

What to be found?
(2/9) + (1/98) = ?
Find what's the sum of 2/9 and 1/98.

step 2 Compare the denominators of fractions 2/9 and 1/98 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 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 2/9 and 1/98:
The LCM of 9 and 98 is 882.

step 4 Write the fractions 2/9 and 1/98 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/98
= [(2 x 882)/(9 x 882)] + [(1 x 882)/(98 x 882)]

step 5 Simplify the expression to have common denominator:
= 196/882 + 9/882

step 6 Take the common values out and rewrite the above expression like the below:
= 1/882 x (196/1 + 9/1)
= 1/882 x (196 + 9)

step 7Simplify the above expression further:
= 1/882 x 205
= 205/882
2/9 + 1/98 = 205/882

Hence,
2/9 plus 1/98 as a fraction is 205/882.

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2/9 + 1/98 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/98

What to be found?
(2/9)+(1/98) = ?
Find what's the sum of 2/9 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 9), and find the product of both denominators of Fraction A and Fraction B (9 x 98) and rewrite the equation as like the below:
= (2 x 98) + (1 x 9)/(9 x 98)

step 3 Simplify and rewrite the fraction:
= (196 + 9)/882
2/9 + 1/98 = 205/882

Hence,
2/9 plus 1/98 in fraction is 205/882