2/7 + 1/82 as a fraction

Learn how to find what is 2/7 plus 1/82 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/82 as a fraction and decimal.

Summary: 2/7 plus 1/82 = 171/574
Since both fractions have unequal denominators, 2/7 plus 1/82 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/82 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 82. 574 is the LCM of 7 and 82. Multiplying the LCM 574 with the numerators and denominators of both fractions (2/7 x 574/574) + (1/82 x 574/574), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 164/574 and for 1/82 is 7/574. By simplifying this fraction addition 164/574 + 7/574, it becomes 171/574.

Pie Chart Representation: 2/7 + 1/82 = 171/574

CALCULATION: 2/7 + 1/82 as a fraction
2/7 + 1/82 = (?)
2/7 + 1/82 = [(2 x 82) + (1 x 7)]/(7 x 82)
= (164 + 7)/574
= 171/574
2/7 + 1/82 = 171/574
2/7 plus 1/82 as a fraction is 171/574.

where
2/7 is a proper fraction as an addend,
1/82 is a proper fraction as an addend,
171/574 is the sum of 2/7 and 1/82.

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2/7 plus 1/82 as a decimal
2/7 + 1/82 = 171/574
171/574 = 0.2979
(2/7) + (1/82) as a decimal is 0.2979

where
0.2979 is the sum of 2/7 and 1/82.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/82 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/82 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/82) using LCM Method:
What is 2/7 plus 1/82 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/82

What to be found?
(2/7) + (1/82) = ?
Find what's the sum of 2/7 and 1/82.

step 2 Compare the denominators of fractions 2/7 and 1/82 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/82 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 2/7 and 1/82:
The LCM of 7 and 82 is 574.

step 4 Write the fractions 2/7 and 1/82 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/82
= [(2 x 574)/(7 x 574)] + [(1 x 574)/(82 x 574)]

step 5 Simplify the expression to have common denominator:
= 164/574 + 7/574

step 6 Take the common values out and rewrite the above expression like the below:
= 1/574 x (164/1 + 7/1)
= 1/574 x (164 + 7)

step 7Simplify the above expression further:
= 1/574 x 171
= 171/574
2/7 + 1/82 = 171/574

Hence,
2/7 plus 1/82 as a fraction is 171/574.

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2/7 + 1/82 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/82

What to be found?
(2/7)+(1/82) = ?
Find what's the sum of 2/7 and 1/82.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 82), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 82) and rewrite the equation as like the below:
= (2 x 82) + (1 x 7)/(7 x 82)

step 3 Simplify and rewrite the fraction:
= (164 + 7)/574
2/7 + 1/82 = 171/574

Hence,
2/7 plus 1/82 in fraction is 171/574