1/7 + 2/82 as a fraction

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

Summary: 1/7 plus 2/82 = 48/287
Since both fractions have unequal denominators, 1/7 plus 2/82 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/82 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 (1/7 x 574/574) + (2/82 x 574/574), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 82/574 and for 2/82 is 14/574. By simplifying this fraction addition 82/574 + 14/574, it becomes 96/574.

Pie Chart Representation: 1/7 + 2/82 = 48/287

CALCULATION: 1/7 + 2/82 as a fraction
1/7 + 2/82 = (?)
1/7 + 2/82 = [(1 x 82) + (2 x 7)]/(7 x 82)
= (82 + 14)/574
= 96/574
= (2 x 48)/(2 x 287)
= 48/287
1/7 + 2/82 = 48/287
1/7 plus 2/82 as a fraction is 48/287.

where
1/7 is a proper fraction as an addend,
2/82 is a proper fraction as an addend,
48/287 is the sum of 1/7 and 2/82.

---

1/7 plus 2/82 as a decimal
1/7 + 2/82 = 48/287
48/287 = 0.1672
(1/7) + (2/82) as a decimal is 0.1672

where
0.1672 is the sum of 1/7 and 2/82.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 82/574 + 14/574

step 6 Take the common values out and rewrite the above expression like the below:
= 1/574 x (82/1 + 14/1)
= 1/574 x (82 + 14)

step 7Simplify the above expression further:
= 1/574 x 96
= 96/574
= 48/287
1/7 + 2/82 = 48/287

Hence,
1/7 plus 2/82 as a fraction is 48/287.

---

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 82), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (1 x 82) + (2 x 7)/(7 x 82)

step 3 Simplify and rewrite the fraction:
= (82 + 14)/574
= 96/574
= 48/287
1/7 + 2/82 = 48/287

Hence,
1/7 plus 2/82 in fraction is 48/287