177/99 added to 28/3 in Fraction Form

The result of 177/99 added to 28/3 is: 11 4/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17799 and 283.

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 283 to 92499

Step 4: Add the Numerators

Add the numerators: 177 + 924 = 1101

Step 5: Simplify the Fraction

We can simplify 110199 to its lowest form.
The greatest common divisor (GCD) of 1101 and 99 is 3.
Dividing both numerator and denominator by the GCD, we get 36733.

Step 6: Convert to Mixed Number

The fraction 36733 can be written as the mixed number 11433.

Final Answer

The result of 177/99 added to 28/3 is:

17799+283=11433

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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