45/223 added to 26/4 in Fraction Form

The result of 45/223 added to 26/4 is: 6 313/446

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 45223 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 223 and 4 is 892.

Step 3: Convert Fractions to Equivalent Fractions

Convert 45223 to 180892
Convert 264 to 5798892

Step 4: Add the Numerators

Add the numerators: 180 + 5798 = 5978

Step 5: Simplify the Fraction

We can simplify 5978892 to its lowest form.
The greatest common divisor (GCD) of 5978 and 892 is 2.
Dividing both numerator and denominator by the GCD, we get 2989446.

Step 6: Convert to Mixed Number

The fraction 2989446 can be written as the mixed number 6313446.

Final Answer

The result of 45/223 added to 26/4 is:

45223+264=6313446

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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