177/99 added to 25/3 in Fraction Form

The result of 177/99 added to 25/3 is: 10 4/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17799 and 253.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 3 is 99.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17799 to 17799
Convert 253 to 82599

Step 4: Add the Numerators

Add the numerators: 177 + 825 = 1002

Step 5: Simplify the Fraction

We can simplify 100299 to its lowest form.
The greatest common divisor (GCD) of 1002 and 99 is 3.
Dividing both numerator and denominator by the GCD, we get 33433.

Step 6: Convert to Mixed Number

The fraction 33433 can be written as the mixed number 10433.

Final Answer

The result of 177/99 added to 25/3 is:

17799+253=10433

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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