2/8 + 1/71 as a fraction

Learn how to find what is 2/8 plus 1/71 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/71 as a fraction and decimal.

Summary: 2/8 plus 1/71 = 75/284
Since both fractions have unequal denominators, 2/8 plus 1/71 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/71 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 71. 568 is the LCM of 8 and 71. Multiplying the LCM 568 with the numerators and denominators of both fractions (2/8 x 568/568) + (1/71 x 568/568), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 142/568 and for 1/71 is 8/568. By simplifying this fraction addition 142/568 + 8/568, it becomes 150/568.

Pie Chart Representation: 2/8 + 1/71 = 75/284

CALCULATION: 2/8 + 1/71 as a fraction
2/8 + 1/71 = (?)
2/8 + 1/71 = [(2 x 71) + (1 x 8)]/(8 x 71)
= (142 + 8)/568
= 150/568
= (2 x 75)/(2 x 284)
= 75/284
2/8 + 1/71 = 75/284
2/8 plus 1/71 as a fraction is 75/284.

where
2/8 is a proper fraction as an addend,
1/71 is a proper fraction as an addend,
75/284 is the sum of 2/8 and 1/71.

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2/8 plus 1/71 as a decimal
2/8 + 1/71 = 75/284
75/284 = 0.2641
(2/8) + (1/71) as a decimal is 0.2641

where
0.2641 is the sum of 2/8 and 1/71.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/71 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/71 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/8) + (1/71) using LCM Method:
What is 2/8 plus 1/71 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/71

What to be found?
(2/8) + (1/71) = ?
Find what's the sum of 2/8 and 1/71.

step 2 Compare the denominators of fractions 2/8 and 1/71 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 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 2/8 and 1/71:
The LCM of 8 and 71 is 568.

step 4 Write the fractions 2/8 and 1/71 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/71
= [(2 x 568)/(8 x 568)] + [(1 x 568)/(71 x 568)]

step 5 Simplify the expression to have common denominator:
= 142/568 + 8/568

step 6 Take the common values out and rewrite the above expression like the below:
= 1/568 x (142/1 + 8/1)
= 1/568 x (142 + 8)

step 7Simplify the above expression further:
= 1/568 x 150
= 150/568
= 75/284
2/8 + 1/71 = 75/284

Hence,
2/8 plus 1/71 as a fraction is 75/284.

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2/8 + 1/71 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/71

What to be found?
(2/8)+(1/71) = ?
Find what's the sum of 2/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 71) and rewrite the equation as like the below:
= (2 x 71) + (1 x 8)/(8 x 71)

step 3 Simplify and rewrite the fraction:
= (142 + 8)/568
= 150/568
= 75/284
2/8 + 1/71 = 75/284

Hence,
2/8 plus 1/71 in fraction is 75/284