171/99 added to 59/4 in Fraction Form

The result of 171/99 added to 59/4 is: 16 21/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17199 and 594.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17199 to 684396
Convert 594 to 5841396

Step 4: Add the Numerators

Add the numerators: 684 + 5841 = 6525

Step 5: Simplify the Fraction

We can simplify 6525396 to its lowest form.
The greatest common divisor (GCD) of 6525 and 396 is 9.
Dividing both numerator and denominator by the GCD, we get 72544.

Step 6: Convert to Mixed Number

The fraction 72544 can be written as the mixed number 162144.

Final Answer

The result of 171/99 added to 59/4 is:

17199+594=162144

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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