24/225 added to 13/4 in Fraction Form

The result of 24/225 added to 13/4 is: 3 107/300

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24225 and 134.

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 24225 to 96900
Convert 134 to 2925900

Step 4: Add the Numerators

Add the numerators: 96 + 2925 = 3021

Step 5: Simplify the Fraction

We can simplify 3021900 to its lowest form.
The greatest common divisor (GCD) of 3021 and 900 is 3.
Dividing both numerator and denominator by the GCD, we get 1007300.

Step 6: Convert to Mixed Number

The fraction 1007300 can be written as the mixed number 3107300.

Final Answer

The result of 24/225 added to 13/4 is:

24225+134=3107300

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).

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