17/154 added to 99/3 in Fraction Form

The result of 17/154 added to 99/3 is: 33 17/154

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17154 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 3 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17154 to 51462
Convert 993 to 15246462

Step 4: Add the Numerators

Add the numerators: 51 + 15246 = 15297

Step 5: Simplify the Fraction

We can simplify 15297462 to its lowest form.
The greatest common divisor (GCD) of 15297 and 462 is 3.
Dividing both numerator and denominator by the GCD, we get 5099154.

Step 6: Convert to Mixed Number

The fraction 5099154 can be written as the mixed number 3317154.

Final Answer

The result of 17/154 added to 99/3 is:

17154+993=3317154

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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