What is 1/2 plus 3/7 in fraction?
1/2 plus 3/7 equals to 13/14 in fraction form.
Learn how to find what is 1/2 plus 3/7 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 3/7 as a fraction and decimal.
Summary: 1/2 plus 3/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 3/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 14 is the LCM of 2 and 7. Multiply the LCM 14 with all the numerators and denominators of both fractions (1/2 x 14/14) + (3/7 x 14/14) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 13/14.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 3/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 3/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+3/7 using LCM Method:
What is 1/2 plus 3/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 3/7
What to be found?
1/2+3/7 = ?
Find what's the sum of 1/2 and 3/7.
step 2 Compare the denominators of fractions 1/2 and 3/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 3/7 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 1/2 and 3/7:
The LCM of 2 and 7 is 14.
step 4 Write the fractions 1/2 and 3/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+3/7
=(1 x 14)/(2 x 14)+(3 x 14)/(7 x 14)
step 5 Simplify the expression to have common denominator:
=7/14+6/14
step 6 Take the common values out and rewrite the above expression like the below:
=1/14 x (7/1+6/1)
=1/14 x (7 + 6)
step 7Simplify the above expression further:
=1/14 x 13
=13/14
1/2+3/7=13/14
Hence,
1/2 plus 3/7 equals to 13/14 in fraction.
1/2+3/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 3/7
What to be found?
1/2+3/7 = ?
Find what's the sum of 1/2 and 3/7.
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 (3 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 7) and rewrite the equation as like the below:
= (1 x 7) + (3 x 2)/(2 x 7)
step 3 Simplify and rewrite the fraction:
= (7 + 6)/14
1/2+3/7 = 13/14
Hence,
1/2 plus 3/7 = 13/14