26/225 added to 8/4 in Fraction Form

The result of 26/225 added to 8/4 is: 2 26/225

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26225 and 84.

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 26225 to 104900
Convert 84 to 1800900

Step 4: Add the Numerators

Add the numerators: 104 + 1800 = 1904

Step 5: Simplify the Fraction

We can simplify 1904900 to its lowest form.
The greatest common divisor (GCD) of 1904 and 900 is 4.
Dividing both numerator and denominator by the GCD, we get 476225.

Step 6: Convert to Mixed Number

The fraction 476225 can be written as the mixed number 226225.

Final Answer

The result of 26/225 added to 8/4 is:

26225+84=226225

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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