What is 1/5 plus 1/20 in fraction?
1/5 plus 1/20 equals to 1/4 in fraction form.
Learn how to find what is 1/5 plus 1/20 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 1/20 as a fraction and decimal.
Summary: 1/5 plus 1/20
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/5 and 1/20 having identical denominators before starting adding the fractions. Find the LCM of denominators, 20 is the LCM of 5 and 20. Multiply the LCM 20 with all the numerators and denominators of both fractions (1/5 x 20/20) + (1/20 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 5/20.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 1/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 1/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/5+1/20 using LCM Method:
What is 1/5 plus 1/20 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 1/20
What to be found?
1/5+1/20 = ?
Find what's the sum of 1/5 and 1/20.
step 2 Compare the denominators of fractions 1/5 and 1/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 1/20 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 1/5 and 1/20:
The LCM of 5 and 20 is 20.
step 4 Write the fractions 1/5 and 1/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/5+1/20
=(1 x 20)/(5 x 20)+(1 x 20)/(20 x 20)
step 5 Simplify the expression to have common denominator:
=4/20+1/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (4/1+1/1)
=1/20 x (4 + 1)
step 7Simplify the above expression further:
=1/20 x 5
= 5/20
=1/4
1/5+1/20=1/4
Hence,
1/5 plus 1/20 equals to 1/4 in fraction.
1/5+1/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 1/20
What to be found?
1/5+1/20 = ?
Find what's the sum of 1/5 and 1/20.
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 (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 20) and rewrite the equation as like the below:
= (1 x 20) + (1 x 5)/(5 x 20)
step 3 Simplify and rewrite the fraction:
= (20 + 5)/100
= 25/100
= 1/4
1/5+1/20 = 1/4
Hence,
1/5 plus 1/20 = 1/4