1/4 plus 1/9 as a fraction

The below workout with step by step calculation shows how to find what is 1/4 plus 1/9 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 1/4 and 1/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/9 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 1/4 and 1/9:
The LCM of 4 and 9 is 36.

step 4 Write the fractions 1/4 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4+1/9
=(1 x 36)/(4 x 36)+(1 x 36)/(9 x 36)

step 5 Simplify the expression to have common denominator:
=9/36+4/36

step 6 Take the common values out and rewrite the above expression like the below:
=1/36 x (9/1+4/1)
=1/36 x (9 + 4)

step 7Simplify the above expression further:
=1/36 x 13
=13/36
1/4+1/9=13/36

Hence,
1/4 plus 1/9 equals to 13/36 in fraction.

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

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

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

step 3 Simplify and rewrite the fraction:
= (9 + 4)/36
1/4+1/9 = 13/36
Hence,
1/4 plus 1/9 = 13/36