2/6 + 1/71 as a fraction

Learn how to find what is 2/6 plus 1/71 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/71 as a fraction and decimal.

Summary: 2/6 plus 1/71 = 74/213
Since both fractions have unequal denominators, 2/6 plus 1/71 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/71 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 71. 426 is the LCM of 6 and 71. Multiplying the LCM 426 with the numerators and denominators of both fractions (2/6 x 426/426) + (1/71 x 426/426), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 142/426 and for 1/71 is 6/426. By simplifying this fraction addition 142/426 + 6/426, it becomes 148/426.

Pie Chart Representation: 2/6 + 1/71 = 74/213

CALCULATION: 2/6 + 1/71 as a fraction
2/6 + 1/71 = (?)
2/6 + 1/71 = [(2 x 71) + (1 x 6)]/(6 x 71)
= (142 + 6)/426
= 148/426
= (2 x 74)/(2 x 213)
= 74/213
2/6 + 1/71 = 74/213
2/6 plus 1/71 as a fraction is 74/213.

where
2/6 is a proper fraction as an addend,
1/71 is a proper fraction as an addend,
74/213 is the sum of 2/6 and 1/71.

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2/6 plus 1/71 as a decimal
2/6 + 1/71 = 74/213
74/213 = 0.3474
(2/6) + (1/71) as a decimal is 0.3474

where
0.3474 is the sum of 2/6 and 1/71.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/71 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/71 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/6) + (1/71) using LCM Method:
What is 2/6 plus 1/71 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/71

What to be found?
(2/6) + (1/71) = ?
Find what's the sum of 2/6 and 1/71.

step 2 Compare the denominators of fractions 2/6 and 1/71 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 and 1/71 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 1/71:
The LCM of 6 and 71 is 426.

step 4 Write the fractions 2/6 and 1/71 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/71
= [(2 x 426)/(6 x 426)] + [(1 x 426)/(71 x 426)]

step 5 Simplify the expression to have common denominator:
= 142/426 + 6/426

step 6 Take the common values out and rewrite the above expression like the below:
= 1/426 x (142/1 + 6/1)
= 1/426 x (142 + 6)

step 7Simplify the above expression further:
= 1/426 x 148
= 148/426
= 74/213
2/6 + 1/71 = 74/213

Hence,
2/6 plus 1/71 as a fraction is 74/213.

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2/6 + 1/71 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/71

What to be found?
(2/6)+(1/71) = ?
Find what's the sum of 2/6 and 1/71.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 71), 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 71) and rewrite the equation as like the below:
= (2 x 71) + (1 x 6)/(6 x 71)

step 3 Simplify and rewrite the fraction:
= (142 + 6)/426
= 148/426
= 74/213
2/6 + 1/71 = 74/213

Hence,
2/6 plus 1/71 in fraction is 74/213