1/3 + 2/99 as a fraction

Learn how to find what is 1/3 plus 2/99 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/99 as a fraction and decimal.

Summary: 1/3 plus 2/99 = 35/99
Since both fractions have unequal denominators, 1/3 plus 2/99 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/99 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 99. 99 is the LCM of 3 and 99. Multiplying the LCM 99 with the numerators and denominators of both fractions (1/3 x 99/99) + (2/99 x 99/99), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 33/99 and for 2/99 is 2/99. By simplifying this fraction addition 33/99 + 2/99, it becomes 35/99.

Pie Chart Representation: 1/3 + 2/99 = 35/99

CALCULATION: 1/3 + 2/99 as a fraction
1/3 + 2/99 = (?)
1/3 + 2/99 = [(1 x 99) + (2 x 3)]/(3 x 99)
= (99 + 6)/297
= 105/297
= (3 x 35)/(3 x 99)
= 35/99
1/3 + 2/99 = 35/99
1/3 plus 2/99 as a fraction is 35/99.

where
1/3 is a proper fraction as an addend,
2/99 is a proper fraction as an addend,
35/99 is the sum of 1/3 and 2/99.

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1/3 plus 2/99 as a decimal
1/3 + 2/99 = 35/99
35/99 = 0.3535
(1/3) + (2/99) as a decimal is 0.3535

where
0.3535 is the sum of 1/3 and 2/99.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/99 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/99 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/99) using LCM Method:
What is 1/3 plus 2/99 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/99

What to be found?
(1/3) + (2/99) = ?
Find what's the sum of 1/3 and 2/99.

step 2 Compare the denominators of fractions 1/3 and 2/99 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/99 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 1/3 and 2/99:
The LCM of 3 and 99 is 99.

step 4 Write the fractions 1/3 and 2/99 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/99
= [(1 x 99)/(3 x 99)] + [(2 x 99)/(99 x 99)]

step 5 Simplify the expression to have common denominator:
= 33/99 + 2/99

step 6 Take the common values out and rewrite the above expression like the below:
= 1/99 x (33/1 + 2/1)
= 1/99 x (33 + 2)

step 7Simplify the above expression further:
= 1/99 x 35
= 35/99
1/3 + 2/99 = 35/99

Hence,
1/3 plus 2/99 as a fraction is 35/99.

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1/3 + 2/99 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/99

What to be found?
(1/3)+(2/99) = ?
Find what's the sum of 1/3 and 2/99.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 99), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 99) and rewrite the equation as like the below:
= (1 x 99) + (2 x 3)/(3 x 99)

step 3 Simplify and rewrite the fraction:
= (99 + 6)/297
= 105/297
= 35/99
1/3 + 2/99 = 35/99

Hence,
1/3 plus 2/99 in fraction is 35/99