1/8 + 2/23 as a fraction

Learn how to find what is 1/8 plus 2/23 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 2/23 as a fraction and decimal.

Summary: 1/8 plus 2/23 = 39/184
Since both fractions have unequal denominators, 1/8 plus 2/23 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/23 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 23. 184 is the LCM of 8 and 23. Multiplying the LCM 184 with the numerators and denominators of both fractions (1/8 x 184/184) + (2/23 x 184/184), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 23/184 and for 2/23 is 16/184. By simplifying this fraction addition 23/184 + 16/184, it becomes 39/184.

Pie Chart Representation: 1/8 + 2/23 = 39/184

CALCULATION: 1/8 + 2/23 as a fraction
1/8 + 2/23 = (?)
1/8 + 2/23 = [(1 x 23) + (2 x 8)]/(8 x 23)
= (23 + 16)/184
= 39/184
1/8 + 2/23 = 39/184
1/8 plus 2/23 as a fraction is 39/184.

where
1/8 is a proper fraction as an addend,
2/23 is a proper fraction as an addend,
39/184 is the sum of 1/8 and 2/23.

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1/8 plus 2/23 as a decimal
1/8 + 2/23 = 39/184
39/184 = 0.212
(1/8) + (2/23) as a decimal is 0.212

where
0.212 is the sum of 1/8 and 2/23.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 2/23 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 2/23 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/8) + (2/23) using LCM Method:
What is 1/8 plus 2/23 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/23

What to be found?
(1/8) + (2/23) = ?
Find what's the sum of 1/8 and 2/23.

step 2 Compare the denominators of fractions 1/8 and 2/23 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 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 1/8 and 2/23:
The LCM of 8 and 23 is 184.

step 4 Write the fractions 1/8 and 2/23 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 + 2/23
= [(1 x 184)/(8 x 184)] + [(2 x 184)/(23 x 184)]

step 5 Simplify the expression to have common denominator:
= 23/184 + 16/184

step 6 Take the common values out and rewrite the above expression like the below:
= 1/184 x (23/1 + 16/1)
= 1/184 x (23 + 16)

step 7Simplify the above expression further:
= 1/184 x 39
= 39/184
1/8 + 2/23 = 39/184

Hence,
1/8 plus 2/23 as a fraction is 39/184.

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1/8 + 2/23 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/23

What to be found?
(1/8)+(2/23) = ?
Find what's the sum of 1/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 23) and rewrite the equation as like the below:
= (1 x 23) + (2 x 8)/(8 x 23)

step 3 Simplify and rewrite the fraction:
= (23 + 16)/184
1/8 + 2/23 = 39/184

Hence,
1/8 plus 2/23 in fraction is 39/184