1/2 + 1/23 as a fraction

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

Summary: 1/2 plus 1/23 = 25/46
Since both fractions have unequal denominators, 1/2 plus 1/23 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/23 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 23. 46 is the LCM of 2 and 23. Multiplying the LCM 46 with the numerators and denominators of both fractions (1/2 x 46/46) + (1/23 x 46/46), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 23/46 and for 1/23 is 2/46. By simplifying this fraction addition 23/46 + 2/46, it becomes 25/46.

Pie Chart Representation: 1/2 + 1/23 = 25/46

CALCULATION: 1/2 + 1/23 as a fraction
1/2 + 1/23 = (?)
1/2 + 1/23 = [(1 x 23) + (1 x 2)]/(2 x 23)
= (23 + 2)/46
= 25/46
1/2 + 1/23 = 25/46
1/2 plus 1/23 as a fraction is 25/46.

where
1/2 is a proper fraction as an addend,
1/23 is a proper fraction as an addend,
25/46 is the sum of 1/2 and 1/23.

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1/2 plus 1/23 as a decimal
1/2 + 1/23 = 25/46
25/46 = 0.5435
(1/2) + (1/23) as a decimal is 0.5435

where
0.5435 is the sum of 1/2 and 1/23.

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

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

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

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

step 2 Compare the denominators of fractions 1/2 and 1/23 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/23 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 1/2 and 1/23:
The LCM of 2 and 23 is 46.

step 4 Write the fractions 1/2 and 1/23 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/23
= [(1 x 46)/(2 x 46)] + [(1 x 46)/(23 x 46)]

step 5 Simplify the expression to have common denominator:
= 23/46 + 2/46

step 6 Take the common values out and rewrite the above expression like the below:
= 1/46 x (23/1 + 2/1)
= 1/46 x (23 + 2)

step 7Simplify the above expression further:
= 1/46 x 25
= 25/46
1/2 + 1/23 = 25/46

Hence,
1/2 plus 1/23 as a fraction is 25/46.

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

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

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

step 3 Simplify and rewrite the fraction:
= (23 + 2)/46
1/2 + 1/23 = 25/46

Hence,
1/2 plus 1/23 in fraction is 25/46