69/225 added to 26/3 in Fraction Form

The result of 69/225 added to 26/3 is: 8 73/75

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69225 and 263.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 225 and 3 is 225.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69225 to 69225
Convert 263 to 1950225

Step 4: Add the Numerators

Add the numerators: 69 + 1950 = 2019

Step 5: Simplify the Fraction

We can simplify 2019225 to its lowest form.
The greatest common divisor (GCD) of 2019 and 225 is 3.
Dividing both numerator and denominator by the GCD, we get 67375.

Step 6: Convert to Mixed Number

The fraction 67375 can be written as the mixed number 87375.

Final Answer

The result of 69/225 added to 26/3 is:

69225+263=87375

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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