2/9 + 1/21 as a fraction

Learn how to find what is 2/9 plus 1/21 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/21 as a fraction and decimal.

Summary: 2/9 plus 1/21 = 17/63
Since both fractions have unequal denominators, 2/9 plus 1/21 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/21 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 21. 63 is the LCM of 9 and 21. Multiplying the LCM 63 with the numerators and denominators of both fractions (2/9 x 63/63) + (1/21 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 14/63 and for 1/21 is 3/63. By simplifying this fraction addition 14/63 + 3/63, it becomes 17/63.

Pie Chart Representation: 2/9 + 1/21 = 17/63

CALCULATION: 2/9 + 1/21 as a fraction
2/9 + 1/21 = (?)
2/9 + 1/21 = [(2 x 21) + (1 x 9)]/(9 x 21)
= (42 + 9)/189
= 51/189
= (3 x 17)/(3 x 63)
= 17/63
2/9 + 1/21 = 17/63
2/9 plus 1/21 as a fraction is 17/63.

where
2/9 is a proper fraction as an addend,
1/21 is a proper fraction as an addend,
17/63 is the sum of 2/9 and 1/21.

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2/9 plus 1/21 as a decimal
2/9 + 1/21 = 17/63
17/63 = 0.2698
(2/9) + (1/21) as a decimal is 0.2698

where
0.2698 is the sum of 2/9 and 1/21.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/21 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/21 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/21) using LCM Method:
What is 2/9 plus 1/21 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/21

What to be found?
(2/9) + (1/21) = ?
Find what's the sum of 2/9 and 1/21.

step 2 Compare the denominators of fractions 2/9 and 1/21 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 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 2/9 and 1/21:
The LCM of 9 and 21 is 63.

step 4 Write the fractions 2/9 and 1/21 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/21
= [(2 x 63)/(9 x 63)] + [(1 x 63)/(21 x 63)]

step 5 Simplify the expression to have common denominator:
= 14/63 + 3/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (14/1 + 3/1)
= 1/63 x (14 + 3)

step 7Simplify the above expression further:
= 1/63 x 17
= 17/63
2/9 + 1/21 = 17/63

Hence,
2/9 plus 1/21 as a fraction is 17/63.

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2/9 + 1/21 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/21

What to be found?
(2/9)+(1/21) = ?
Find what's the sum of 2/9 and 1/21.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 21), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 21) and rewrite the equation as like the below:
= (2 x 21) + (1 x 9)/(9 x 21)

step 3 Simplify and rewrite the fraction:
= (42 + 9)/189
= 51/189
= 17/63
2/9 + 1/21 = 17/63

Hence,
2/9 plus 1/21 in fraction is 17/63