What is 2/4 + 1/31 in fraction?
2/4 + 1/31 equals to 33/62 in fraction form.
Learn how to find what is 2/4 plus 1/31 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/31 as a fraction and decimal.
Summary: 2/4 plus 1/31 = 33/62
Since both fractions have unequal denominators, 2/4 plus 1/31 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/31 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 31. 124 is the LCM of 4 and 31. Multiplying the LCM 124 with the numerators and denominators of both fractions (2/4 x 124/124) + (1/31 x 124/124), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 62/124 and for 1/31 is 4/124. By simplifying this fraction addition 62/124 + 4/124, it becomes 66/124.
Pie Chart Representation: 2/4 + 1/31 = 33/62
The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/31 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/31 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/4) + (1/31) using LCM Method:
What is 2/4 plus 1/31 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/31
What to be found?
(2/4) + (1/31) = ?
Find what's the sum of 2/4 and 1/31.
step 2 Compare the denominators of fractions 2/4 and 1/31 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 and 1/31 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 1/31:
The LCM of 4 and 31 is 124.
step 4 Write the fractions 2/4 and 1/31 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/31
= [(2 x 124)/(4 x 124)] + [(1 x 124)/(31 x 124)]
step 5 Simplify the expression to have common denominator:
= 62/124 + 4/124
step 6 Take the common values out and rewrite the above expression like the below:
= 1/124 x (62/1 + 4/1)
= 1/124 x (62 + 4)
step 7Simplify the above expression further:
= 1/124 x 66
= 66/124
= 33/62
2/4 + 1/31 = 33/62
Hence,
2/4 plus 1/31 as a fraction is 33/62.
2/4 + 1/31 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/31
What to be found?
(2/4)+(1/31) = ?
Find what's the sum of 2/4 and 1/31.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 31), 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 31) and rewrite the equation as like the below:
= (2 x 31) + (1 x 4)/(4 x 31)
step 3 Simplify and rewrite the fraction:
= (62 + 4)/124
= 66/124
= 33/62
2/4 + 1/31 = 33/62
Hence,
2/4 plus 1/31 in fraction is 33/62