What is 4/9 plus 1/3?

The below workout with step by step calculation for adding 4/9 to 1/3 shows how to find what is the sum of 4/9 and 1/3. The sum of fractions 4/9 plus 1/3 can be obtained by using anyone of the two methods below:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 4/9 plus 1/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/3

What to be found?
4/9+1/3 = ?
Find what's the sum of 4/9 and 1/3.

step 2 Compare the denominators of fractions 4/9 and 1/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/9 and 1/3 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 4/9 and 1/3:
The LCM of 9 and 3 is 9.

step 4 Write the fractions 4/9 and 1/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=4/9+1/3
=(4 x 9)/(9 x 9)+(1 x 9)/(3 x 9)

step 5 Simplify the expression to have common denominator:
=4/9+3/9

step 6 Take the common values out and rewrite the above expression like the below:
=1/9 x (4/1+3/1)
=1/9 x (4 + 3)

step 7Simplify the above expression further:
=1/9 x 7
=7/9
4/9+1/3=7/9

Hence,
4/9 plus 1/3 equals to 7/9 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/3

What to be found?
4/9+1/3 = ?
Find what's the sum of 4/9 and 1/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 3) and rewrite the equation as like the below:
= (4 x 3) + (1 x 9)/(9 x 3)

step 3 Simplify and rewrite the fraction:
= (12 + 9)/27
= 21/27
= 7/9
4/9+1/3 = 7/9
Hence,
4/9 plus 1/3 = 7/9