18/19 + 1/20 as a fraction

Learn how to find what is 18/19 plus 1/20 in fraction form just in a few minutes. We have covered the easiest method to write 18/19 + 1/20 as a fraction and decimal.

Summary: 18/19 plus 1/20 = 379/380
Since both fractions have unequal denominators, 18/19 plus 1/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/19 and fraction 1/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 20. 380 is the LCM of 19 and 20. Multiplying the LCM 380 with the numerators and denominators of both fractions (18/19 x 380/380) + (1/20 x 380/380), and simplify further in order to have the common denominator. So the equivalent fraction for 18/19 is 360/380 and for 1/20 is 19/380. By simplifying this fraction addition 360/380 + 19/380, it becomes 379/380.

Pie Chart Representation: 18/19 + 1/20 = 379/380

CALCULATION: 18/19 + 1/20 as a fraction
18/19 + 1/20 = (?)
18/19 + 1/20 = [(18 x 20) + (1 x 19)]/(19 x 20)
= (360 + 19)/380
= 379/380
18/19 + 1/20 = 379/380
18/19 plus 1/20 as a fraction is 379/380.

where
18/19 is a proper fraction as an addend,
1/20 is a proper fraction as an addend,
379/380 is the sum of 18/19 and 1/20.

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18/19 plus 1/20 as a decimal
18/19 + 1/20 = 379/380
379/380 = 0.9974
(18/19) + (1/20) as a decimal is 0.9974

where
0.9974 is the sum of 18/19 and 1/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/19 and 1/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/19 plus 1/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/19) + (1/20) using LCM Method:
What is 18/19 plus 1/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/19
Fraction B: 1/20

What to be found?
(18/19) + (1/20) = ?
Find what's the sum of 18/19 and 1/20.

step 2 Compare the denominators of fractions 18/19 and 1/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/19 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 18/19 and 1/20:
The LCM of 19 and 20 is 380.

step 4 Write the fractions 18/19 and 1/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/19 + 1/20
= [(18 x 380)/(19 x 380)] + [(1 x 380)/(20 x 380)]

step 5 Simplify the expression to have common denominator:
= 360/380 + 19/380

step 6 Take the common values out and rewrite the above expression like the below:
= 1/380 x (360/1 + 19/1)
= 1/380 x (360 + 19)

step 7Simplify the above expression further:
= 1/380 x 379
= 379/380
18/19 + 1/20 = 379/380

Hence,
18/19 plus 1/20 as a fraction is 379/380.

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18/19 + 1/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/19
Fraction B: 1/20

What to be found?
(18/19)+(1/20) = ?
Find what's the sum of 18/19 and 1/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 20), find the product of numerator of Fraction B and denominator of Fraction A (1 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 20) and rewrite the equation as like the below:
= (18 x 20) + (1 x 19)/(19 x 20)

step 3 Simplify and rewrite the fraction:
= (360 + 19)/380
18/19 + 1/20 = 379/380

Hence,
18/19 plus 1/20 in fraction is 379/380