1/3 + 2/84 as a fraction

Learn how to find what is 1/3 plus 2/84 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/84 as a fraction and decimal.

Summary: 1/3 plus 2/84 = 5/14
Since both fractions have unequal denominators, 1/3 plus 2/84 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/84 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 84. 84 is the LCM of 3 and 84. Multiplying the LCM 84 with the numerators and denominators of both fractions (1/3 x 84/84) + (2/84 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 28/84 and for 2/84 is 2/84. By simplifying this fraction addition 28/84 + 2/84, it becomes 30/84.

Pie Chart Representation: 1/3 + 2/84 = 5/14

CALCULATION: 1/3 + 2/84 as a fraction
1/3 + 2/84 = (?)
1/3 + 2/84 = [(1 x 84) + (2 x 3)]/(3 x 84)
= (84 + 6)/252
= 90/252
= (18 x 5)/(18 x 14)
= 5/14
1/3 + 2/84 = 5/14
1/3 plus 2/84 as a fraction is 5/14.

where
1/3 is a proper fraction as an addend,
2/84 is a proper fraction as an addend,
5/14 is the sum of 1/3 and 2/84.

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1/3 plus 2/84 as a decimal
1/3 + 2/84 = 5/14
5/14 = 0.3571
(1/3) + (2/84) as a decimal is 0.3571

where
0.3571 is the sum of 1/3 and 2/84.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/84 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/84 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/84) using LCM Method:
What is 1/3 plus 2/84 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/84

What to be found?
(1/3) + (2/84) = ?
Find what's the sum of 1/3 and 2/84.

step 2 Compare the denominators of fractions 1/3 and 2/84 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/84 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 1/3 and 2/84:
The LCM of 3 and 84 is 84.

step 4 Write the fractions 1/3 and 2/84 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/84
= [(1 x 84)/(3 x 84)] + [(2 x 84)/(84 x 84)]

step 5 Simplify the expression to have common denominator:
= 28/84 + 2/84

step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (28/1 + 2/1)
= 1/84 x (28 + 2)

step 7Simplify the above expression further:
= 1/84 x 30
= 30/84
= 5/14
1/3 + 2/84 = 5/14

Hence,
1/3 plus 2/84 as a fraction is 5/14.

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1/3 + 2/84 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/84

What to be found?
(1/3)+(2/84) = ?
Find what's the sum of 1/3 and 2/84.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 84), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 84) and rewrite the equation as like the below:
= (1 x 84) + (2 x 3)/(3 x 84)

step 3 Simplify and rewrite the fraction:
= (84 + 6)/252
= 90/252
= 5/14
1/3 + 2/84 = 5/14

Hence,
1/3 plus 2/84 in fraction is 5/14