What is 1/7 plus 1/14 in fraction?
1/7 plus 1/14 equals to 3/14 in fraction form.
1/7 + 1/14 in fraction form
Learn how to find what is 1/7 plus 1/14 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 1/14 as a fraction and decimal.
Summary: 1/7 plus 1/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/7 and 1/14 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 (1/7 x 14/14) + (1/14 x 14/14) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 3/14.
1/7+1/14 as a fraction
1/7 + 1/14 = (?)
1/7 + 1/14 = [(1 x 14) + (1 x 7)]/(7 x 14)
= (14 + 7)/98
= 21/98
= (7 x 3)/(7 x 14)
= 3/14
1/7 + 1/14 = 3/14
1/7 plus 1/14 as a fraction is 3/14.
where
1/7 is a fraction as an addend,
1/14 is a fraction as an addend,
3/14 is the sum of 1/7 and 1/14.
1/7 plus 1/14 as a decimal
1/7 + 1/14 = 3/14
3/14 = 0.2143
1/7+1/14 as a decimal is 0.2143
where
0.2143 is the sum of 1/7 and 1/14.
How to find 1/7+1/14 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 1/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 1/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/7+1/14 using LCM Method:
What is 1/7 plus 1/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 1/14
What to be found?
1/7+1/14 = ?
Find what's the sum of 1/7 and 1/14.
step 2 Compare the denominators of fractions 1/7 and 1/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 1/14 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 1/7 and 1/14:
The LCM of 7 and 14 is 14.
step 4 Write the fractions 1/7 and 1/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/7+1/14
=(1 x 14)/(7 x 14)+(1 x 14)/(14 x 14)
step 5 Simplify the expression to have common denominator:
=2/14+1/14
step 6 Take the common values out and rewrite the above expression like the below:
=1/14 x (2/1+1/1)
=1/14 x (2 + 1)
step 7Simplify the above expression further:
=1/14 x 3
=3/14
1/7+1/14=3/14
Hence,
1/7 plus 1/14 equals to 3/14 in fraction.
1/7+1/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 1/14
What to be found?
1/7+1/14 = ?
Find what's the sum of 1/7 and 1/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 14), 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 14) and rewrite the equation as like the below:
= (1 x 14) + (1 x 7)/(7 x 14)
step 3 Simplify and rewrite the fraction:
= (14 + 7)/98
= 21/98
= 3/14
1/7+1/14 = 3/14
Hence,
1/7 plus 1/14 = 3/14