2/7 + 2/14 in fraction form

Learn how to find what is 2/7 plus 2/14 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 2/14 as a fraction and decimal.

Summary: 2/7 plus 2/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/7 and 2/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 14 is the LCM of 7 and 14. Multiply the LCM 14 with all the numerators and denominators of both fractions (2/7 x 14/14) + (2/14 x 14/14) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 6/14.

CALCULATION:
2/7+2/14 as a fraction
2/7 + 2/14 = (?)
2/7 + 2/14 = [(2 x 14) + (2 x 7)]/(7 x 14)
= (28 + 14)/98
= 42/98
= (14 x 3)/(14 x 7)
= 3/7
2/7 + 2/14 = 3/7
2/7 plus 2/14 as a fraction is 3/7.

where
2/7 is a fraction as an addend,
2/14 is a fraction as an addend,
3/7 is the sum of 2/7 and 2/14.

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2/7 plus 2/14 as a decimal
2/7 + 2/14 = 3/7
3/7 = 0.4286
2/7+2/14 as a decimal is 0.4286
where
0.4286 is the sum of 2/7 and 2/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 2/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 2/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

2/7+2/14 using LCM Method:
What is 2/7 plus 2/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 2/14

What to be found?
2/7+2/14 = ?
Find what's the sum of 2/7 and 2/14.

step 2 Compare the denominators of fractions 2/7 and 2/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 2/14 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 2/14:
The LCM of 7 and 14 is 14.

step 4 Write the fractions 2/7 and 2/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/7+2/14
=(2 x 14)/(7 x 14)+(2 x 14)/(14 x 14)

step 5 Simplify the expression to have common denominator:
=4/14+2/14

step 6 Take the common values out and rewrite the above expression like the below:
=1/14 x (4/1+2/1)
=1/14 x (4 + 2)

step 7Simplify the above expression further:
=1/14 x 6
= 6/14
=3/7
2/7+2/14=3/7

Hence,
2/7 plus 2/14 equals to 3/7 in fraction.

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2/7+2/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 2/14

What to be found?
2/7+2/14 = ?
Find what's the sum of 2/7 and 2/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 14), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 14) and rewrite the equation as like the below:
= (2 x 14) + (2 x 7)/(7 x 14)

step 3 Simplify and rewrite the fraction:
= (28 + 14)/98
= 42/98
= 3/7
2/7+2/14 = 3/7
Hence,
2/7 plus 2/14 = 3/7