What is 2/4 + 1/84 in fraction?
2/4 + 1/84 equals to 43/84 in fraction form.
Learn how to find what is 2/4 plus 1/84 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/84 as a fraction and decimal.
Summary: 2/4 plus 1/84 = 43/84
Since both fractions have unequal denominators, 2/4 plus 1/84 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/84 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 (2/4 x 84/84) + (1/84 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 42/84 and for 1/84 is 1/84. By simplifying this fraction addition 42/84 + 1/84, it becomes 43/84.
Pie Chart Representation: 2/4 + 1/84 = 43/84
The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/84 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/84 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/4) + (1/84) using LCM Method:
What is 2/4 plus 1/84 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/84
What to be found?
(2/4) + (1/84) = ?
Find what's the sum of 2/4 and 1/84.
step 2 Compare the denominators of fractions 2/4 and 1/84 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 and 1/84 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 2/4 and 1/84:
The LCM of 4 and 84 is 84.
step 4 Write the fractions 2/4 and 1/84 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/84
= [(2 x 84)/(4 x 84)] + [(1 x 84)/(84 x 84)]
step 5 Simplify the expression to have common denominator:
= 42/84 + 1/84
step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (42/1 + 1/1)
= 1/84 x (42 + 1)
step 7Simplify the above expression further:
= 1/84 x 43
= 43/84
2/4 + 1/84 = 43/84
Hence,
2/4 plus 1/84 as a fraction is 43/84.
2/4 + 1/84 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/84
What to be found?
(2/4)+(1/84) = ?
Find what's the sum of 2/4 and 1/84.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 84), 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 84) and rewrite the equation as like the below:
= (2 x 84) + (1 x 4)/(4 x 84)
step 3 Simplify and rewrite the fraction:
= (168 + 4)/336
= 172/336
= 43/84
2/4 + 1/84 = 43/84
Hence,
2/4 plus 1/84 in fraction is 43/84