What is 2/4 + 1/46 in fraction?
2/4 + 1/46 equals to 12/23 in fraction form.
Learn how to find what is 2/4 plus 1/46 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/46 as a fraction and decimal.
Summary: 2/4 plus 1/46 = 12/23
Since both fractions have unequal denominators, 2/4 plus 1/46 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/46 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 46. 92 is the LCM of 4 and 46. Multiplying the LCM 92 with the numerators and denominators of both fractions (2/4 x 92/92) + (1/46 x 92/92), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 46/92 and for 1/46 is 2/92. By simplifying this fraction addition 46/92 + 2/92, it becomes 48/92.
Pie Chart Representation: 2/4 + 1/46 = 12/23
The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/46 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/46 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/4) + (1/46) using LCM Method:
What is 2/4 plus 1/46 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/46
What to be found?
(2/4) + (1/46) = ?
Find what's the sum of 2/4 and 1/46.
step 2 Compare the denominators of fractions 2/4 and 1/46 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 and 1/46 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 1/46:
The LCM of 4 and 46 is 92.
step 4 Write the fractions 2/4 and 1/46 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/46
= [(2 x 92)/(4 x 92)] + [(1 x 92)/(46 x 92)]
step 5 Simplify the expression to have common denominator:
= 46/92 + 2/92
step 6 Take the common values out and rewrite the above expression like the below:
= 1/92 x (46/1 + 2/1)
= 1/92 x (46 + 2)
step 7Simplify the above expression further:
= 1/92 x 48
= 48/92
= 12/23
2/4 + 1/46 = 12/23
Hence,
2/4 plus 1/46 as a fraction is 12/23.
2/4 + 1/46 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/46
What to be found?
(2/4)+(1/46) = ?
Find what's the sum of 2/4 and 1/46.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 46), 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 46) and rewrite the equation as like the below:
= (2 x 46) + (1 x 4)/(4 x 46)
step 3 Simplify and rewrite the fraction:
= (92 + 4)/184
= 96/184
= 12/23
2/4 + 1/46 = 12/23
Hence,
2/4 plus 1/46 in fraction is 12/23