2/6 + 1/35 as a fraction

Learn how to find what is 2/6 plus 1/35 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/35 as a fraction and decimal.

Summary: 2/6 plus 1/35 = 38/105
Since both fractions have unequal denominators, 2/6 plus 1/35 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/35 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 35. 210 is the LCM of 6 and 35. Multiplying the LCM 210 with the numerators and denominators of both fractions (2/6 x 210/210) + (1/35 x 210/210), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 70/210 and for 1/35 is 6/210. By simplifying this fraction addition 70/210 + 6/210, it becomes 76/210.

Pie Chart Representation: 2/6 + 1/35 = 38/105

CALCULATION: 2/6 + 1/35 as a fraction
2/6 + 1/35 = (?)
2/6 + 1/35 = [(2 x 35) + (1 x 6)]/(6 x 35)
= (70 + 6)/210
= 76/210
= (2 x 38)/(2 x 105)
= 38/105
2/6 + 1/35 = 38/105
2/6 plus 1/35 as a fraction is 38/105.

where
2/6 is a proper fraction as an addend,
1/35 is a proper fraction as an addend,
38/105 is the sum of 2/6 and 1/35.

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2/6 plus 1/35 as a decimal
2/6 + 1/35 = 38/105
38/105 = 0.3619
(2/6) + (1/35) as a decimal is 0.3619

where
0.3619 is the sum of 2/6 and 1/35.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/35 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/35 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/6) + (1/35) using LCM Method:
What is 2/6 plus 1/35 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/35

What to be found?
(2/6) + (1/35) = ?
Find what's the sum of 2/6 and 1/35.

step 2 Compare the denominators of fractions 2/6 and 1/35 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 and 1/35 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 2/6 and 1/35:
The LCM of 6 and 35 is 210.

step 4 Write the fractions 2/6 and 1/35 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/35
= [(2 x 210)/(6 x 210)] + [(1 x 210)/(35 x 210)]

step 5 Simplify the expression to have common denominator:
= 70/210 + 6/210

step 6 Take the common values out and rewrite the above expression like the below:
= 1/210 x (70/1 + 6/1)
= 1/210 x (70 + 6)

step 7Simplify the above expression further:
= 1/210 x 76
= 76/210
= 38/105
2/6 + 1/35 = 38/105

Hence,
2/6 plus 1/35 as a fraction is 38/105.

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2/6 + 1/35 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/35

What to be found?
(2/6)+(1/35) = ?
Find what's the sum of 2/6 and 1/35.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 35), find the product of numerator of Fraction B and denominator of Fraction A (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 35) and rewrite the equation as like the below:
= (2 x 35) + (1 x 6)/(6 x 35)

step 3 Simplify and rewrite the fraction:
= (70 + 6)/210
= 76/210
= 38/105
2/6 + 1/35 = 38/105

Hence,
2/6 plus 1/35 in fraction is 38/105