21/108 added to 5/4 in Fraction Form

The result of 21/108 added to 5/4 is: 1 4/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21108 and 54.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 108 and 4 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21108 to 21108
Convert 54 to 135108

Step 4: Add the Numerators

Add the numerators: 21 + 135 = 156

Step 5: Simplify the Fraction

We can simplify 156108 to its lowest form.
The greatest common divisor (GCD) of 156 and 108 is 12.
Dividing both numerator and denominator by the GCD, we get 139.

Step 6: Convert to Mixed Number

The fraction 139 can be written as the mixed number 149.

Final Answer

The result of 21/108 added to 5/4 is:

21108+54=149

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

Calculate operations between any two fractions: