What is 1/4 + 2/50 in fraction?
1/4 + 2/50 equals to 29/100 in fraction form.
Learn how to find what is 1/4 plus 2/50 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/50 as a fraction and decimal.
Summary: 1/4 plus 2/50 = 29/100
Since both fractions have unequal denominators, 1/4 plus 2/50 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/50 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 50. 100 is the LCM of 4 and 50. Multiplying the LCM 100 with the numerators and denominators of both fractions (1/4 x 100/100) + (2/50 x 100/100), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 25/100 and for 2/50 is 4/100. By simplifying this fraction addition 25/100 + 4/100, it becomes 29/100.
Pie Chart Representation: 1/4 + 2/50 = 29/100
The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/50 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/50 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/4) + (2/50) using LCM Method:
What is 1/4 plus 2/50 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/50
What to be found?
(1/4) + (2/50) = ?
Find what's the sum of 1/4 and 2/50.
step 2 Compare the denominators of fractions 1/4 and 2/50 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/50 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 2/50:
The LCM of 4 and 50 is 100.
step 4 Write the fractions 1/4 and 2/50 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/50
= [(1 x 100)/(4 x 100)] + [(2 x 100)/(50 x 100)]
step 5 Simplify the expression to have common denominator:
= 25/100 + 4/100
step 6 Take the common values out and rewrite the above expression like the below:
= 1/100 x (25/1 + 4/1)
= 1/100 x (25 + 4)
step 7Simplify the above expression further:
= 1/100 x 29
= 29/100
1/4 + 2/50 = 29/100
Hence,
1/4 plus 2/50 as a fraction is 29/100.
1/4 + 2/50 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/50
What to be found?
(1/4)+(2/50) = ?
Find what's the sum of 1/4 and 2/50.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 50), 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 50) and rewrite the equation as like the below:
= (1 x 50) + (2 x 4)/(4 x 50)
step 3 Simplify and rewrite the fraction:
= (50 + 8)/200
= 58/200
= 29/100
1/4 + 2/50 = 29/100
Hence,
1/4 plus 2/50 in fraction is 29/100