9/4 plus 4 as a fraction

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
=9/4+16/4

step 6 Take the common values out and rewrite the above expression like the below:
=1/4 x (9/1+16/1)
=1/4 x (9 + 16)

step 7Simplify the above expression further:
=1/4 x 25
=25/4
9/4+4=25/4

Hence,
9/4 plus 4 equals to 25/4 in fraction.

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

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

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

step 3 Simplify and rewrite the fraction:
= (9 + 16)/4
9/4+4 = 25/4
Hence,
9/4 plus 4 = 25/4