6/5 + 1/20 as a fraction

Learn how to find what is 6/5 plus 1/20 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 1/20 as a fraction and decimal.

Summary: 6/5 plus 1/20 = 5/4
Since both fractions have unequal denominators, 6/5 plus 1/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 1/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (6/5 x 20/20) + (1/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 24/20 and for 1/20 is 1/20. By simplifying this fraction addition 24/20 + 1/20, it becomes 25/20.

CALCULATION: 6/5 + 1/20 as a fraction
6/5 + 1/20 = (?)
6/5 + 1/20 = [(6 x 20) + (1 x 5)]/(5 x 20)
= (120 + 5)/100
= 125/100
= (25 x 5)/(25 x 4)
= 5/4
6/5 + 1/20 = 5/4
6/5 plus 1/20 as a fraction is 5/4.

where
6/5 is a improper fraction as an addend,
1/20 is a proper fraction as an addend,
5/4 is the sum of 6/5 and 1/20.

---

6/5 plus 1/20 as a decimal
6/5 + 1/20 = 5/4
5/4 = 1.25
(6/5) + (1/20) as a decimal is 1.25

where
1.25 is the sum of 6/5 and 1/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 1/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/5 plus 1/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/5) + (1/20) using LCM Method:
What is 6/5 plus 1/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 1/20

What to be found?
(6/5) + (1/20) = ?
Find what's the sum of 6/5 and 1/20.

step 2 Compare the denominators of fractions 6/5 and 1/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 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 6/5 and 1/20:
The LCM of 5 and 20 is 20.

step 4 Write the fractions 6/5 and 1/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 1/20
= [(6 x 20)/(5 x 20)] + [(1 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 24/20 + 1/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (24/1 + 1/1)
= 1/20 x (24 + 1)

step 7Simplify the above expression further:
= 1/20 x 25
= 25/20
= 5/4
6/5 + 1/20 = 5/4

Hence,
6/5 plus 1/20 as a fraction is 5/4.

---

6/5 + 1/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 1/20

What to be found?
(6/5)+(1/20) = ?
Find what's the sum of 6/5 and 1/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 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:
= (6 x 20) + (1 x 5)/(5 x 20)

step 3 Simplify and rewrite the fraction:
= (120 + 5)/100
= 125/100
= 5/4
6/5 + 1/20 = 5/4

Hence,
6/5 plus 1/20 in fraction is 5/4