48/171 added to 99/2 in Fraction Form

The result of 48/171 added to 99/2 is: 49 89/114

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 48171 and 992.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 171 and 2 is 342.

Step 3: Convert Fractions to Equivalent Fractions

Convert 48171 to 96342
Convert 992 to 16929342

Step 4: Add the Numerators

Add the numerators: 96 + 16929 = 17025

Step 5: Simplify the Fraction

We can simplify 17025342 to its lowest form.
The greatest common divisor (GCD) of 17025 and 342 is 3.
Dividing both numerator and denominator by the GCD, we get 5675114.

Step 6: Convert to Mixed Number

The fraction 5675114 can be written as the mixed number 4989114.

Final Answer

The result of 48/171 added to 99/2 is:

48171+992=4989114

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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