1/9 plus 5 as a fraction

The below workout with step by step calculation shows how to find what is 1/9 plus 5 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 1/9 plus 5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 5/1

What to be found?
1/9+5 = ?
Find what's the sum of 1/9 and 5.

step 2 Compare the denominators of fractions 1/9 and 5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 5 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 1/9 and 5:
The LCM of 9 and 1 is 9.

step 4 Write the fractions 1/9 and 5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/9+5
=(1 x 9)/(9 x 9)+(5 x 9)/(1 x 9)

step 5 Simplify the expression to have common denominator:
=1/9+45/9

step 6 Take the common values out and rewrite the above expression like the below:
=1/9 x (1/1+45/1)
=1/9 x (1 + 45)

step 7Simplify the above expression further:
=1/9 x 46
=46/9
1/9+5=46/9

Hence,
1/9 plus 5 equals to 46/9 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 5/1

What to be found?
1/9+5 = ?
Find what's the sum of 1/9 and 5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 1) and rewrite the equation as like the below:
= (1 x 1) + (5 x 9)/(9 x 1)

step 3 Simplify and rewrite the fraction:
= (1 + 45)/9
1/9+5 = 46/9
Hence,
1/9 plus 5 = 46/9