1/4 + 2/84 as a fraction

Learn how to find what is 1/4 plus 2/84 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/84 as a fraction and decimal.

Summary: 1/4 plus 2/84 = 23/84
Since both fractions have unequal denominators, 1/4 plus 2/84 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/84 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 84. 84 is the LCM of 4 and 84. Multiplying the LCM 84 with the numerators and denominators of both fractions (1/4 x 84/84) + (2/84 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 21/84 and for 2/84 is 2/84. By simplifying this fraction addition 21/84 + 2/84, it becomes 23/84.

Pie Chart Representation: 1/4 + 2/84 = 23/84

CALCULATION: 1/4 + 2/84 as a fraction
1/4 + 2/84 = (?)
1/4 + 2/84 = [(1 x 84) + (2 x 4)]/(4 x 84)
= (84 + 8)/336
= 92/336
= (4 x 23)/(4 x 84)
= 23/84
1/4 + 2/84 = 23/84
1/4 plus 2/84 as a fraction is 23/84.

where
1/4 is a proper fraction as an addend,
2/84 is a proper fraction as an addend,
23/84 is the sum of 1/4 and 2/84.

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1/4 plus 2/84 as a decimal
1/4 + 2/84 = 23/84
23/84 = 0.2738
(1/4) + (2/84) as a decimal is 0.2738

where
0.2738 is the sum of 1/4 and 2/84.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/84 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/84 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/84) using LCM Method:
What is 1/4 plus 2/84 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/84

What to be found?
(1/4) + (2/84) = ?
Find what's the sum of 1/4 and 2/84.

step 2 Compare the denominators of fractions 1/4 and 2/84 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 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 1/4 and 2/84:
The LCM of 4 and 84 is 84.

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

step 5 Simplify the expression to have common denominator:
= 21/84 + 2/84

step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (21/1 + 2/1)
= 1/84 x (21 + 2)

step 7Simplify the above expression further:
= 1/84 x 23
= 23/84
1/4 + 2/84 = 23/84

Hence,
1/4 plus 2/84 as a fraction is 23/84.

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1/4 + 2/84 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/84

What to be found?
(1/4)+(2/84) = ?
Find what's the sum of 1/4 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 4), and find the product of both denominators of Fraction A and Fraction B (4 x 84) and rewrite the equation as like the below:
= (1 x 84) + (2 x 4)/(4 x 84)

step 3 Simplify and rewrite the fraction:
= (84 + 8)/336
= 92/336
= 23/84
1/4 + 2/84 = 23/84

Hence,
1/4 plus 2/84 in fraction is 23/84