What is 1/3 plus 3/20 in fraction?
1/3 plus 3/20 equals to 29/60 in fraction form.
Learn how to find what is 1/3 plus 3/20 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 3/20 as a fraction and decimal.
Summary: 1/3 plus 3/20
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 3/20 having identical denominators before starting adding the fractions. Find the LCM of denominators, 60 is the LCM of 3 and 20. Multiply the LCM 60 with all the numerators and denominators of both fractions (1/3 x 60/60) + (3/20 x 60/60) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 29/60.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 3/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 3/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+3/20 using LCM Method:
What is 1/3 plus 3/20 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 3/20
What to be found?
1/3+3/20 = ?
Find what's the sum of 1/3 and 3/20.
step 2 Compare the denominators of fractions 1/3 and 3/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 3/20 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 3/20:
The LCM of 3 and 20 is 60.
step 4 Write the fractions 1/3 and 3/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+3/20
=(1 x 60)/(3 x 60)+(3 x 60)/(20 x 60)
step 5 Simplify the expression to have common denominator:
=20/60+9/60
step 6 Take the common values out and rewrite the above expression like the below:
=1/60 x (20/1+9/1)
=1/60 x (20 + 9)
step 7Simplify the above expression further:
=1/60 x 29
=29/60
1/3+3/20=29/60
Hence,
1/3 plus 3/20 equals to 29/60 in fraction.
1/3+3/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 3/20
What to be found?
1/3+3/20 = ?
Find what's the sum of 1/3 and 3/20.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 20), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 20) and rewrite the equation as like the below:
= (1 x 20) + (3 x 3)/(3 x 20)
step 3 Simplify and rewrite the fraction:
= (20 + 9)/60
1/3+3/20 = 29/60
Hence,
1/3 plus 3/20 = 29/60