1/5 + 2/23 as a fraction

Learn how to find what is 1/5 plus 2/23 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/23 as a fraction and decimal.

Summary: 1/5 plus 2/23 = 33/115
Since both fractions have unequal denominators, 1/5 plus 2/23 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/23 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 23. 115 is the LCM of 5 and 23. Multiplying the LCM 115 with the numerators and denominators of both fractions (1/5 x 115/115) + (2/23 x 115/115), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 23/115 and for 2/23 is 10/115. By simplifying this fraction addition 23/115 + 10/115, it becomes 33/115.

Pie Chart Representation: 1/5 + 2/23 = 33/115

CALCULATION: 1/5 + 2/23 as a fraction
1/5 + 2/23 = (?)
1/5 + 2/23 = [(1 x 23) + (2 x 5)]/(5 x 23)
= (23 + 10)/115
= 33/115
1/5 + 2/23 = 33/115
1/5 plus 2/23 as a fraction is 33/115.

where
1/5 is a proper fraction as an addend,
2/23 is a proper fraction as an addend,
33/115 is the sum of 1/5 and 2/23.

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1/5 plus 2/23 as a decimal
1/5 + 2/23 = 33/115
33/115 = 0.287
(1/5) + (2/23) as a decimal is 0.287

where
0.287 is the sum of 1/5 and 2/23.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/23 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/23 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/5) + (2/23) using LCM Method:
What is 1/5 plus 2/23 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/23

What to be found?
(1/5) + (2/23) = ?
Find what's the sum of 1/5 and 2/23.

step 2 Compare the denominators of fractions 1/5 and 2/23 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/23 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 2/23:
The LCM of 5 and 23 is 115.

step 4 Write the fractions 1/5 and 2/23 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/23
= [(1 x 115)/(5 x 115)] + [(2 x 115)/(23 x 115)]

step 5 Simplify the expression to have common denominator:
= 23/115 + 10/115

step 6 Take the common values out and rewrite the above expression like the below:
= 1/115 x (23/1 + 10/1)
= 1/115 x (23 + 10)

step 7Simplify the above expression further:
= 1/115 x 33
= 33/115
1/5 + 2/23 = 33/115

Hence,
1/5 plus 2/23 as a fraction is 33/115.

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1/5 + 2/23 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/23

What to be found?
(1/5)+(2/23) = ?
Find what's the sum of 1/5 and 2/23.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 23), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 23) and rewrite the equation as like the below:
= (1 x 23) + (2 x 5)/(5 x 23)

step 3 Simplify and rewrite the fraction:
= (23 + 10)/115
1/5 + 2/23 = 33/115

Hence,
1/5 plus 2/23 in fraction is 33/115