2/4 + 1/82 as a fraction

Learn how to find what is 2/4 plus 1/82 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/82 as a fraction and decimal.

Summary: 2/4 plus 1/82 = 21/41
Since both fractions have unequal denominators, 2/4 plus 1/82 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/82 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 82. 164 is the LCM of 4 and 82. Multiplying the LCM 164 with the numerators and denominators of both fractions (2/4 x 164/164) + (1/82 x 164/164), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 82/164 and for 1/82 is 2/164. By simplifying this fraction addition 82/164 + 2/164, it becomes 84/164.

Pie Chart Representation: 2/4 + 1/82 = 21/41

CALCULATION: 2/4 + 1/82 as a fraction
2/4 + 1/82 = (?)
2/4 + 1/82 = [(2 x 82) + (1 x 4)]/(4 x 82)
= (164 + 4)/328
= 168/328
= (8 x 21)/(8 x 41)
= 21/41
2/4 + 1/82 = 21/41
2/4 plus 1/82 as a fraction is 21/41.

where
2/4 is a proper fraction as an addend,
1/82 is a proper fraction as an addend,
21/41 is the sum of 2/4 and 1/82.

---

2/4 plus 1/82 as a decimal
2/4 + 1/82 = 21/41
21/41 = 0.5122
(2/4) + (1/82) as a decimal is 0.5122

where
0.5122 is the sum of 2/4 and 1/82.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/82 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/82 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/4) + (1/82) using LCM Method:
What is 2/4 plus 1/82 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/82

What to be found?
(2/4) + (1/82) = ?
Find what's the sum of 2/4 and 1/82.

step 2 Compare the denominators of fractions 2/4 and 1/82 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 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 2/4 and 1/82:
The LCM of 4 and 82 is 164.

step 4 Write the fractions 2/4 and 1/82 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/82
= [(2 x 164)/(4 x 164)] + [(1 x 164)/(82 x 164)]

step 5 Simplify the expression to have common denominator:
= 82/164 + 2/164

step 6 Take the common values out and rewrite the above expression like the below:
= 1/164 x (82/1 + 2/1)
= 1/164 x (82 + 2)

step 7Simplify the above expression further:
= 1/164 x 84
= 84/164
= 21/41
2/4 + 1/82 = 21/41

Hence,
2/4 plus 1/82 as a fraction is 21/41.

---

2/4 + 1/82 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/82

What to be found?
(2/4)+(1/82) = ?
Find what's the sum of 2/4 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 4), and find the product of both denominators of Fraction A and Fraction B (4 x 82) and rewrite the equation as like the below:
= (2 x 82) + (1 x 4)/(4 x 82)

step 3 Simplify and rewrite the fraction:
= (164 + 4)/328
= 168/328
= 21/41
2/4 + 1/82 = 21/41

Hence,
2/4 plus 1/82 in fraction is 21/41