1/3 + 2/85 as a fraction

Learn how to find what is 1/3 plus 2/85 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/85 as a fraction and decimal.

Summary: 1/3 plus 2/85 = 91/255
Since both fractions have unequal denominators, 1/3 plus 2/85 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/85 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 85. 255 is the LCM of 3 and 85. Multiplying the LCM 255 with the numerators and denominators of both fractions (1/3 x 255/255) + (2/85 x 255/255), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 85/255 and for 2/85 is 6/255. By simplifying this fraction addition 85/255 + 6/255, it becomes 91/255.

Pie Chart Representation: 1/3 + 2/85 = 91/255

CALCULATION: 1/3 + 2/85 as a fraction
1/3 + 2/85 = (?)
1/3 + 2/85 = [(1 x 85) + (2 x 3)]/(3 x 85)
= (85 + 6)/255
= 91/255
1/3 + 2/85 = 91/255
1/3 plus 2/85 as a fraction is 91/255.

where
1/3 is a proper fraction as an addend,
2/85 is a proper fraction as an addend,
91/255 is the sum of 1/3 and 2/85.

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1/3 plus 2/85 as a decimal
1/3 + 2/85 = 91/255
91/255 = 0.3569
(1/3) + (2/85) as a decimal is 0.3569

where
0.3569 is the sum of 1/3 and 2/85.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/85 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/85 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/85) using LCM Method:
What is 1/3 plus 2/85 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/85

What to be found?
(1/3) + (2/85) = ?
Find what's the sum of 1/3 and 2/85.

step 2 Compare the denominators of fractions 1/3 and 2/85 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/85 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 2/85:
The LCM of 3 and 85 is 255.

step 4 Write the fractions 1/3 and 2/85 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/85
= [(1 x 255)/(3 x 255)] + [(2 x 255)/(85 x 255)]

step 5 Simplify the expression to have common denominator:
= 85/255 + 6/255

step 6 Take the common values out and rewrite the above expression like the below:
= 1/255 x (85/1 + 6/1)
= 1/255 x (85 + 6)

step 7Simplify the above expression further:
= 1/255 x 91
= 91/255
1/3 + 2/85 = 91/255

Hence,
1/3 plus 2/85 as a fraction is 91/255.

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1/3 + 2/85 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/85

What to be found?
(1/3)+(2/85) = ?
Find what's the sum of 1/3 and 2/85.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 85), 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 85) and rewrite the equation as like the below:
= (1 x 85) + (2 x 3)/(3 x 85)

step 3 Simplify and rewrite the fraction:
= (85 + 6)/255
1/3 + 2/85 = 91/255

Hence,
1/3 plus 2/85 in fraction is 91/255