11/225 added to 82/4 in Fraction Form

The result of 11/225 added to 82/4 is: 20 247/450

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11225 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 225 and 4 is 900.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11225 to 44900
Convert 824 to 18450900

Step 4: Add the Numerators

Add the numerators: 44 + 18450 = 18494

Step 5: Simplify the Fraction

We can simplify 18494900 to its lowest form.
The greatest common divisor (GCD) of 18494 and 900 is 2.
Dividing both numerator and denominator by the GCD, we get 9247450.

Step 6: Convert to Mixed Number

The fraction 9247450 can be written as the mixed number 20247450.

Final Answer

The result of 11/225 added to 82/4 is:

11225+824=20247450

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

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