What is 1/3 plus 2/7 in fraction?
1/3 plus 2/7 equals to 13/21 in fraction form.
Learn how to find what is 1/3 plus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/7 as a fraction and decimal.
Summary: 1/3 plus 2/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 2/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 21 is the LCM of 3 and 7. Multiply the LCM 21 with all the numerators and denominators of both fractions (1/3 x 21/21) + (2/7 x 21/21) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 13/21.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+2/7 using LCM Method:
What is 1/3 plus 2/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/7
What to be found?
1/3+2/7 = ?
Find what's the sum of 1/3 and 2/7.
step 2 Compare the denominators of fractions 1/3 and 2/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/7 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 1/3 and 2/7:
The LCM of 3 and 7 is 21.
step 4 Write the fractions 1/3 and 2/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+2/7
=(1 x 21)/(3 x 21)+(2 x 21)/(7 x 21)
step 5 Simplify the expression to have common denominator:
=7/21+6/21
step 6 Take the common values out and rewrite the above expression like the below:
=1/21 x (7/1+6/1)
=1/21 x (7 + 6)
step 7Simplify the above expression further:
=1/21 x 13
=13/21
1/3+2/7=13/21
Hence,
1/3 plus 2/7 equals to 13/21 in fraction.
1/3+2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/7
What to be found?
1/3+2/7 = ?
Find what's the sum of 1/3 and 2/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 7) and rewrite the equation as like the below:
= (1 x 7) + (2 x 3)/(3 x 7)
step 3 Simplify and rewrite the fraction:
= (7 + 6)/21
1/3+2/7 = 13/21
Hence,
1/3 plus 2/7 = 13/21