10/225 added to 11/3 in Fraction Form

The result of 10/225 added to 11/3 is: 3 32/45

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10225 and 113.

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 10225 to 10225
Convert 113 to 825225

Step 4: Add the Numerators

Add the numerators: 10 + 825 = 835

Step 5: Simplify the Fraction

We can simplify 835225 to its lowest form.
The greatest common divisor (GCD) of 835 and 225 is 5.
Dividing both numerator and denominator by the GCD, we get 16745.

Step 6: Convert to Mixed Number

The fraction 16745 can be written as the mixed number 33245.

Final Answer

The result of 10/225 added to 11/3 is:

10225+113=33245

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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