1/2 + 1/21 as a fraction

Learn how to find what is 1/2 plus 1/21 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/21 as a fraction and decimal.

Summary: 1/2 plus 1/21 = 23/42
Since both fractions have unequal denominators, 1/2 plus 1/21 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/21 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 21. 42 is the LCM of 2 and 21. Multiplying the LCM 42 with the numerators and denominators of both fractions (1/2 x 42/42) + (1/21 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 21/42 and for 1/21 is 2/42. By simplifying this fraction addition 21/42 + 2/42, it becomes 23/42.

Pie Chart Representation: 1/2 + 1/21 = 23/42

CALCULATION: 1/2 + 1/21 as a fraction
1/2 + 1/21 = (?)
1/2 + 1/21 = [(1 x 21) + (1 x 2)]/(2 x 21)
= (21 + 2)/42
= 23/42
1/2 + 1/21 = 23/42
1/2 plus 1/21 as a fraction is 23/42.

where
1/2 is a proper fraction as an addend,
1/21 is a proper fraction as an addend,
23/42 is the sum of 1/2 and 1/21.

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1/2 plus 1/21 as a decimal
1/2 + 1/21 = 23/42
23/42 = 0.5476
(1/2) + (1/21) as a decimal is 0.5476

where
0.5476 is the sum of 1/2 and 1/21.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/21 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/21 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/2) + (1/21) using LCM Method:
What is 1/2 plus 1/21 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/21

What to be found?
(1/2) + (1/21) = ?
Find what's the sum of 1/2 and 1/21.

step 2 Compare the denominators of fractions 1/2 and 1/21 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/21 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 1/21:
The LCM of 2 and 21 is 42.

step 4 Write the fractions 1/2 and 1/21 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/21
= [(1 x 42)/(2 x 42)] + [(1 x 42)/(21 x 42)]

step 5 Simplify the expression to have common denominator:
= 21/42 + 2/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (21/1 + 2/1)
= 1/42 x (21 + 2)

step 7Simplify the above expression further:
= 1/42 x 23
= 23/42
1/2 + 1/21 = 23/42

Hence,
1/2 plus 1/21 as a fraction is 23/42.

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1/2 + 1/21 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/21

What to be found?
(1/2)+(1/21) = ?
Find what's the sum of 1/2 and 1/21.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 21), 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 21) and rewrite the equation as like the below:
= (1 x 21) + (1 x 2)/(2 x 21)

step 3 Simplify and rewrite the fraction:
= (21 + 2)/42
1/2 + 1/21 = 23/42

Hence,
1/2 plus 1/21 in fraction is 23/42