What is 1/3 plus 1/4 in fraction?
1/3 plus 1/4 equals to 7/12 in fraction form.
Learn how to find what is 1/3 plus 1/4 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 1/4 as a fraction and decimal.
Summary: 1/3 plus 1/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 1/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 3 and 4. Multiply the LCM 12 with all the numerators and denominators of both fractions (1/3 x 12/12) + (1/4 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 7/12.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 1/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 1/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+1/4 using LCM Method:
What is 1/3 plus 1/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/4
What to be found?
1/3+1/4 = ?
Find what's the sum of 1/3 and 1/4.
step 2 Compare the denominators of fractions 1/3 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 1/4 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 1/4:
The LCM of 3 and 4 is 12.
step 4 Write the fractions 1/3 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+1/4
=(1 x 12)/(3 x 12)+(1 x 12)/(4 x 12)
step 5 Simplify the expression to have common denominator:
=4/12+3/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (4/1+3/1)
=1/12 x (4 + 3)
step 7Simplify the above expression further:
=1/12 x 7
=7/12
1/3+1/4=7/12
Hence,
1/3 plus 1/4 equals to 7/12 in fraction.
1/3+1/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/4
What to be found?
1/3+1/4 = ?
Find what's the sum of 1/3 and 1/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 4) and rewrite the equation as like the below:
= (1 x 4) + (1 x 3)/(3 x 4)
step 3 Simplify and rewrite the fraction:
= (4 + 3)/12
1/3+1/4 = 7/12
Hence,
1/3 plus 1/4 = 7/12