2/5 + 1/85 as a fraction

Learn how to find what is 2/5 plus 1/85 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/85 as a fraction and decimal.

Summary: 2/5 plus 1/85 = 7/17
Since both fractions have unequal denominators, 2/5 plus 1/85 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/85 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 85. 85 is the LCM of 5 and 85. Multiplying the LCM 85 with the numerators and denominators of both fractions (2/5 x 85/85) + (1/85 x 85/85), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 34/85 and for 1/85 is 1/85. By simplifying this fraction addition 34/85 + 1/85, it becomes 35/85.

Pie Chart Representation: 2/5 + 1/85 = 7/17

CALCULATION: 2/5 + 1/85 as a fraction
2/5 + 1/85 = (?)
2/5 + 1/85 = [(2 x 85) + (1 x 5)]/(5 x 85)
= (170 + 5)/425
= 175/425
= (25 x 7)/(25 x 17)
= 7/17
2/5 + 1/85 = 7/17
2/5 plus 1/85 as a fraction is 7/17.

where
2/5 is a proper fraction as an addend,
1/85 is a proper fraction as an addend,
7/17 is the sum of 2/5 and 1/85.

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2/5 plus 1/85 as a decimal
2/5 + 1/85 = 7/17
7/17 = 0.4118
(2/5) + (1/85) as a decimal is 0.4118

where
0.4118 is the sum of 2/5 and 1/85.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/85 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/85 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/85) using LCM Method:
What is 2/5 plus 1/85 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/85

What to be found?
(2/5) + (1/85) = ?
Find what's the sum of 2/5 and 1/85.

step 2 Compare the denominators of fractions 2/5 and 1/85 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/85 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 2/5 and 1/85:
The LCM of 5 and 85 is 85.

step 4 Write the fractions 2/5 and 1/85 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/85
= [(2 x 85)/(5 x 85)] + [(1 x 85)/(85 x 85)]

step 5 Simplify the expression to have common denominator:
= 34/85 + 1/85

step 6 Take the common values out and rewrite the above expression like the below:
= 1/85 x (34/1 + 1/1)
= 1/85 x (34 + 1)

step 7Simplify the above expression further:
= 1/85 x 35
= 35/85
= 7/17
2/5 + 1/85 = 7/17

Hence,
2/5 plus 1/85 as a fraction is 7/17.

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2/5 + 1/85 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/85

What to be found?
(2/5)+(1/85) = ?
Find what's the sum of 2/5 and 1/85.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 85), 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 85) and rewrite the equation as like the below:
= (2 x 85) + (1 x 5)/(5 x 85)

step 3 Simplify and rewrite the fraction:
= (170 + 5)/425
= 175/425
= 7/17
2/5 + 1/85 = 7/17

Hence,
2/5 plus 1/85 in fraction is 7/17