168/99 added to 57/4 in Fraction Form

The result of 168/99 added to 57/4 is: 15 125/132

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16899 and 574.

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 16899 to 672396
Convert 574 to 5643396

Step 4: Add the Numerators

Add the numerators: 672 + 5643 = 6315

Step 5: Simplify the Fraction

We can simplify 6315396 to its lowest form.
The greatest common divisor (GCD) of 6315 and 396 is 3.
Dividing both numerator and denominator by the GCD, we get 2105132.

Step 6: Convert to Mixed Number

The fraction 2105132 can be written as the mixed number 15125132.

Final Answer

The result of 168/99 added to 57/4 is:

16899+574=15125132

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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