27/192 added to 8/3 in Fraction Form

The result of 27/192 added to 8/3 is: 2 155/192

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac27192\) and \(\frac83\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 192 and 3 is 192.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac27192\) to \(\frac{27}192\)
Convert \(\frac83\) to \(\frac{512}192\)

Step 4: Add the Numerators

Add the numerators: 27 + 512 = 539

Step 5: Convert to Mixed Number

The fraction \(\frac539192\) can be written as the mixed number \(2\frac155192\).

Final Answer

The result of 27/192 added to 8/3 is:

\[ \frac{27}{192} + \frac{8}{3} = 2\frac155192 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (when denominators are different)

Or simply \( \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} \) (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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