1/5 + 2/35 as a fraction

Learn how to find what is 1/5 plus 2/35 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/35 as a fraction and decimal.

Summary: 1/5 plus 2/35 = 9/35
Since both fractions have unequal denominators, 1/5 plus 2/35 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/35 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 35. 35 is the LCM of 5 and 35. Multiplying the LCM 35 with the numerators and denominators of both fractions (1/5 x 35/35) + (2/35 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 7/35 and for 2/35 is 2/35. By simplifying this fraction addition 7/35 + 2/35, it becomes 9/35.

Pie Chart Representation: 1/5 + 2/35 = 9/35

CALCULATION: 1/5 + 2/35 as a fraction
1/5 + 2/35 = (?)
1/5 + 2/35 = [(1 x 35) + (2 x 5)]/(5 x 35)
= (35 + 10)/175
= 45/175
= (5 x 9)/(5 x 35)
= 9/35
1/5 + 2/35 = 9/35
1/5 plus 2/35 as a fraction is 9/35.

where
1/5 is a proper fraction as an addend,
2/35 is a proper fraction as an addend,
9/35 is the sum of 1/5 and 2/35.

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1/5 plus 2/35 as a decimal
1/5 + 2/35 = 9/35
9/35 = 0.2571
(1/5) + (2/35) as a decimal is 0.2571

where
0.2571 is the sum of 1/5 and 2/35.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/35 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/35 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/5) + (2/35) using LCM Method:
What is 1/5 plus 2/35 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/35

What to be found?
(1/5) + (2/35) = ?
Find what's the sum of 1/5 and 2/35.

step 2 Compare the denominators of fractions 1/5 and 2/35 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/35 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 1/5 and 2/35:
The LCM of 5 and 35 is 35.

step 4 Write the fractions 1/5 and 2/35 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/35
= [(1 x 35)/(5 x 35)] + [(2 x 35)/(35 x 35)]

step 5 Simplify the expression to have common denominator:
= 7/35 + 2/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (7/1 + 2/1)
= 1/35 x (7 + 2)

step 7Simplify the above expression further:
= 1/35 x 9
= 9/35
1/5 + 2/35 = 9/35

Hence,
1/5 plus 2/35 as a fraction is 9/35.

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1/5 + 2/35 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/35

What to be found?
(1/5)+(2/35) = ?
Find what's the sum of 1/5 and 2/35.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 35), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 35) and rewrite the equation as like the below:
= (1 x 35) + (2 x 5)/(5 x 35)

step 3 Simplify and rewrite the fraction:
= (35 + 10)/175
= 45/175
= 9/35
1/5 + 2/35 = 9/35

Hence,
1/5 plus 2/35 in fraction is 9/35