What is 1/3 + 2/50 in fraction?
1/3 + 2/50 equals to 28/75 in fraction form.
Learn how to find what is 1/3 plus 2/50 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/50 as a fraction and decimal.
Summary: 1/3 plus 2/50 = 28/75
Since both fractions have unequal denominators, 1/3 plus 2/50 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/50 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 50. 150 is the LCM of 3 and 50. Multiplying the LCM 150 with the numerators and denominators of both fractions (1/3 x 150/150) + (2/50 x 150/150), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 50/150 and for 2/50 is 6/150. By simplifying this fraction addition 50/150 + 6/150, it becomes 56/150.
Pie Chart Representation: 1/3 + 2/50 = 28/75
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/50 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/50 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/3) + (2/50) using LCM Method:
What is 1/3 plus 2/50 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/50
What to be found?
(1/3) + (2/50) = ?
Find what's the sum of 1/3 and 2/50.
step 2 Compare the denominators of fractions 1/3 and 2/50 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 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 1/3 and 2/50:
The LCM of 3 and 50 is 150.
step 4 Write the fractions 1/3 and 2/50 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/50
= [(1 x 150)/(3 x 150)] + [(2 x 150)/(50 x 150)]
step 5 Simplify the expression to have common denominator:
= 50/150 + 6/150
step 6 Take the common values out and rewrite the above expression like the below:
= 1/150 x (50/1 + 6/1)
= 1/150 x (50 + 6)
step 7Simplify the above expression further:
= 1/150 x 56
= 56/150
= 28/75
1/3 + 2/50 = 28/75
Hence,
1/3 plus 2/50 as a fraction is 28/75.
1/3 + 2/50 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/50
What to be found?
(1/3)+(2/50) = ?
Find what's the sum of 1/3 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 3), and find the product of both denominators of Fraction A and Fraction B (3 x 50) and rewrite the equation as like the below:
= (1 x 50) + (2 x 3)/(3 x 50)
step 3 Simplify and rewrite the fraction:
= (50 + 6)/150
= 56/150
= 28/75
1/3 + 2/50 = 28/75
Hence,
1/3 plus 2/50 in fraction is 28/75