1/3 + 2/90 as a fraction

Learn how to find what is 1/3 plus 2/90 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/90 as a fraction and decimal.

Summary: 1/3 plus 2/90 = 16/45
Since both fractions have unequal denominators, 1/3 plus 2/90 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/90 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 90. 90 is the LCM of 3 and 90. Multiplying the LCM 90 with the numerators and denominators of both fractions (1/3 x 90/90) + (2/90 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 30/90 and for 2/90 is 2/90. By simplifying this fraction addition 30/90 + 2/90, it becomes 32/90.

Pie Chart Representation: 1/3 + 2/90 = 16/45

CALCULATION: 1/3 + 2/90 as a fraction
1/3 + 2/90 = (?)
1/3 + 2/90 = [(1 x 90) + (2 x 3)]/(3 x 90)
= (90 + 6)/270
= 96/270
= (6 x 16)/(6 x 45)
= 16/45
1/3 + 2/90 = 16/45
1/3 plus 2/90 as a fraction is 16/45.

where
1/3 is a proper fraction as an addend,
2/90 is a proper fraction as an addend,
16/45 is the sum of 1/3 and 2/90.

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1/3 plus 2/90 as a decimal
1/3 + 2/90 = 16/45
16/45 = 0.3556
(1/3) + (2/90) as a decimal is 0.3556

where
0.3556 is the sum of 1/3 and 2/90.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/90 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/90 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/90) using LCM Method:
What is 1/3 plus 2/90 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/90

What to be found?
(1/3) + (2/90) = ?
Find what's the sum of 1/3 and 2/90.

step 2 Compare the denominators of fractions 1/3 and 2/90 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/90 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 2/90:
The LCM of 3 and 90 is 90.

step 4 Write the fractions 1/3 and 2/90 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/90
= [(1 x 90)/(3 x 90)] + [(2 x 90)/(90 x 90)]

step 5 Simplify the expression to have common denominator:
= 30/90 + 2/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (30/1 + 2/1)
= 1/90 x (30 + 2)

step 7Simplify the above expression further:
= 1/90 x 32
= 32/90
= 16/45
1/3 + 2/90 = 16/45

Hence,
1/3 plus 2/90 as a fraction is 16/45.

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1/3 + 2/90 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/90

What to be found?
(1/3)+(2/90) = ?
Find what's the sum of 1/3 and 2/90.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 90), 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 90) and rewrite the equation as like the below:
= (1 x 90) + (2 x 3)/(3 x 90)

step 3 Simplify and rewrite the fraction:
= (90 + 6)/270
= 96/270
= 16/45
1/3 + 2/90 = 16/45

Hence,
1/3 plus 2/90 in fraction is 16/45