2/7 + 1/21 as a fraction

Learn how to find what is 2/7 plus 1/21 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/21 as a fraction and decimal.

Summary: 2/7 plus 1/21 = 1/3
Since both fractions have unequal denominators, 2/7 plus 1/21 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/21 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 21. 21 is the LCM of 7 and 21. Multiplying the LCM 21 with the numerators and denominators of both fractions (2/7 x 21/21) + (1/21 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 6/21 and for 1/21 is 1/21. By simplifying this fraction addition 6/21 + 1/21, it becomes 7/21.

Pie Chart Representation: 2/7 + 1/21 = 1/3

CALCULATION: 2/7 + 1/21 as a fraction
2/7 + 1/21 = (?)
2/7 + 1/21 = [(2 x 21) + (1 x 7)]/(7 x 21)
= (42 + 7)/147
= 49/147
= (49 x 1)/(49 x 3)
= 1/3
2/7 + 1/21 = 1/3
2/7 plus 1/21 as a fraction is 1/3.

where
2/7 is a proper fraction as an addend,
1/21 is a proper fraction as an addend,
1/3 is the sum of 2/7 and 1/21.

---

2/7 plus 1/21 as a decimal
2/7 + 1/21 = 1/3
1/3 = 0.3333
(2/7) + (1/21) as a decimal is 0.3333

where
0.3333 is the sum of 2/7 and 1/21.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/21 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/21 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/21) using LCM Method:
What is 2/7 plus 1/21 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/21

What to be found?
(2/7) + (1/21) = ?
Find what's the sum of 2/7 and 1/21.

step 2 Compare the denominators of fractions 2/7 and 1/21 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 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 2/7 and 1/21:
The LCM of 7 and 21 is 21.

step 4 Write the fractions 2/7 and 1/21 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/21
= [(2 x 21)/(7 x 21)] + [(1 x 21)/(21 x 21)]

step 5 Simplify the expression to have common denominator:
= 6/21 + 1/21

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

step 7Simplify the above expression further:
= 1/21 x 7
= 7/21
= 1/3
2/7 + 1/21 = 1/3

Hence,
2/7 plus 1/21 as a fraction is 1/3.

---

2/7 + 1/21 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/21

What to be found?
(2/7)+(1/21) = ?
Find what's the sum of 2/7 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 7), and find the product of both denominators of Fraction A and Fraction B (7 x 21) and rewrite the equation as like the below:
= (2 x 21) + (1 x 7)/(7 x 21)

step 3 Simplify and rewrite the fraction:
= (42 + 7)/147
= 49/147
= 1/3
2/7 + 1/21 = 1/3

Hence,
2/7 plus 1/21 in fraction is 1/3