2/9 + 1/82 as a fraction

Learn how to find what is 2/9 plus 1/82 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/82 as a fraction and decimal.

Summary: 2/9 plus 1/82 = 173/738
Since both fractions have unequal denominators, 2/9 plus 1/82 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/82 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 82. 738 is the LCM of 9 and 82. Multiplying the LCM 738 with the numerators and denominators of both fractions (2/9 x 738/738) + (1/82 x 738/738), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 164/738 and for 1/82 is 9/738. By simplifying this fraction addition 164/738 + 9/738, it becomes 173/738.

Pie Chart Representation: 2/9 + 1/82 = 173/738

CALCULATION: 2/9 + 1/82 as a fraction
2/9 + 1/82 = (?)
2/9 + 1/82 = [(2 x 82) + (1 x 9)]/(9 x 82)
= (164 + 9)/738
= 173/738
2/9 + 1/82 = 173/738
2/9 plus 1/82 as a fraction is 173/738.

where
2/9 is a proper fraction as an addend,
1/82 is a proper fraction as an addend,
173/738 is the sum of 2/9 and 1/82.

---

2/9 plus 1/82 as a decimal
2/9 + 1/82 = 173/738
173/738 = 0.2344
(2/9) + (1/82) as a decimal is 0.2344

where
0.2344 is the sum of 2/9 and 1/82.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/82 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/82 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/82) using LCM Method:
What is 2/9 plus 1/82 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/82

What to be found?
(2/9) + (1/82) = ?
Find what's the sum of 2/9 and 1/82.

step 2 Compare the denominators of fractions 2/9 and 1/82 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 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 2/9 and 1/82:
The LCM of 9 and 82 is 738.

step 4 Write the fractions 2/9 and 1/82 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/82
= [(2 x 738)/(9 x 738)] + [(1 x 738)/(82 x 738)]

step 5 Simplify the expression to have common denominator:
= 164/738 + 9/738

step 6 Take the common values out and rewrite the above expression like the below:
= 1/738 x (164/1 + 9/1)
= 1/738 x (164 + 9)

step 7Simplify the above expression further:
= 1/738 x 173
= 173/738
2/9 + 1/82 = 173/738

Hence,
2/9 plus 1/82 as a fraction is 173/738.

---

2/9 + 1/82 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/82

What to be found?
(2/9)+(1/82) = ?
Find what's the sum of 2/9 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 9), and find the product of both denominators of Fraction A and Fraction B (9 x 82) and rewrite the equation as like the below:
= (2 x 82) + (1 x 9)/(9 x 82)

step 3 Simplify and rewrite the fraction:
= (164 + 9)/738
2/9 + 1/82 = 173/738

Hence,
2/9 plus 1/82 in fraction is 173/738