1/9 + 2/71 as a fraction

Learn how to find what is 1/9 plus 2/71 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/71 as a fraction and decimal.

Summary: 1/9 plus 2/71 = 89/639
Since both fractions have unequal denominators, 1/9 plus 2/71 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/71 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 71. 639 is the LCM of 9 and 71. Multiplying the LCM 639 with the numerators and denominators of both fractions (1/9 x 639/639) + (2/71 x 639/639), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 71/639 and for 2/71 is 18/639. By simplifying this fraction addition 71/639 + 18/639, it becomes 89/639.

Pie Chart Representation: 1/9 + 2/71 = 89/639

CALCULATION: 1/9 + 2/71 as a fraction
1/9 + 2/71 = (?)
1/9 + 2/71 = [(1 x 71) + (2 x 9)]/(9 x 71)
= (71 + 18)/639
= 89/639
1/9 + 2/71 = 89/639
1/9 plus 2/71 as a fraction is 89/639.

where
1/9 is a proper fraction as an addend,
2/71 is a proper fraction as an addend,
89/639 is the sum of 1/9 and 2/71.

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1/9 plus 2/71 as a decimal
1/9 + 2/71 = 89/639
89/639 = 0.1393
(1/9) + (2/71) as a decimal is 0.1393

where
0.1393 is the sum of 1/9 and 2/71.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/71 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/71 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/71) using LCM Method:
What is 1/9 plus 2/71 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/71

What to be found?
(1/9) + (2/71) = ?
Find what's the sum of 1/9 and 2/71.

step 2 Compare the denominators of fractions 1/9 and 2/71 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/71 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 1/9 and 2/71:
The LCM of 9 and 71 is 639.

step 4 Write the fractions 1/9 and 2/71 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/71
= [(1 x 639)/(9 x 639)] + [(2 x 639)/(71 x 639)]

step 5 Simplify the expression to have common denominator:
= 71/639 + 18/639

step 6 Take the common values out and rewrite the above expression like the below:
= 1/639 x (71/1 + 18/1)
= 1/639 x (71 + 18)

step 7Simplify the above expression further:
= 1/639 x 89
= 89/639
1/9 + 2/71 = 89/639

Hence,
1/9 plus 2/71 as a fraction is 89/639.

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1/9 + 2/71 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/71

What to be found?
(1/9)+(2/71) = ?
Find what's the sum of 1/9 and 2/71.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 71), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 71) and rewrite the equation as like the below:
= (1 x 71) + (2 x 9)/(9 x 71)

step 3 Simplify and rewrite the fraction:
= (71 + 18)/639
1/9 + 2/71 = 89/639

Hence,
1/9 plus 2/71 in fraction is 89/639