1/8 + 2/21 as a fraction

Learn how to find what is 1/8 plus 2/21 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 2/21 as a fraction and decimal.

Summary: 1/8 plus 2/21 = 37/168
Since both fractions have unequal denominators, 1/8 plus 2/21 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/21 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 21. 168 is the LCM of 8 and 21. Multiplying the LCM 168 with the numerators and denominators of both fractions (1/8 x 168/168) + (2/21 x 168/168), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 21/168 and for 2/21 is 16/168. By simplifying this fraction addition 21/168 + 16/168, it becomes 37/168.

Pie Chart Representation: 1/8 + 2/21 = 37/168

CALCULATION: 1/8 + 2/21 as a fraction
1/8 + 2/21 = (?)
1/8 + 2/21 = [(1 x 21) + (2 x 8)]/(8 x 21)
= (21 + 16)/168
= 37/168
1/8 + 2/21 = 37/168
1/8 plus 2/21 as a fraction is 37/168.

where
1/8 is a proper fraction as an addend,
2/21 is a proper fraction as an addend,
37/168 is the sum of 1/8 and 2/21.

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1/8 plus 2/21 as a decimal
1/8 + 2/21 = 37/168
37/168 = 0.2202
(1/8) + (2/21) as a decimal is 0.2202

where
0.2202 is the sum of 1/8 and 2/21.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 2/21 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 2/21 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/8) + (2/21) using LCM Method:
What is 1/8 plus 2/21 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/21

What to be found?
(1/8) + (2/21) = ?
Find what's the sum of 1/8 and 2/21.

step 2 Compare the denominators of fractions 1/8 and 2/21 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 and 2/21 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 1/8 and 2/21:
The LCM of 8 and 21 is 168.

step 4 Write the fractions 1/8 and 2/21 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 + 2/21
= [(1 x 168)/(8 x 168)] + [(2 x 168)/(21 x 168)]

step 5 Simplify the expression to have common denominator:
= 21/168 + 16/168

step 6 Take the common values out and rewrite the above expression like the below:
= 1/168 x (21/1 + 16/1)
= 1/168 x (21 + 16)

step 7Simplify the above expression further:
= 1/168 x 37
= 37/168
1/8 + 2/21 = 37/168

Hence,
1/8 plus 2/21 as a fraction is 37/168.

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1/8 + 2/21 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/21

What to be found?
(1/8)+(2/21) = ?
Find what's the sum of 1/8 and 2/21.

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 (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 21) and rewrite the equation as like the below:
= (1 x 21) + (2 x 8)/(8 x 21)

step 3 Simplify and rewrite the fraction:
= (21 + 16)/168
1/8 + 2/21 = 37/168

Hence,
1/8 plus 2/21 in fraction is 37/168