16/6 added to 16/3 in Fraction Form

The result of 16/6 added to 16/3 is: 8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac166\) and \(\frac163\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 6 and 3 is 6.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac166\) to \(\frac{16}6\)
Convert \(\frac163\) to \(\frac{32}6\)

Step 4: Add the Numerators

Add the numerators: 16 + 32 = 48

Step 5: Simplify the Fraction

We can simplify \(\frac486\) to its lowest form.
The greatest common divisor (GCD) of 48 and 6 is 6.
Dividing both numerator and denominator by the GCD, we get \(\frac81\).

Final Answer

The result of 16/6 added to 16/3 is:

\[ \frac{16}{6} + \frac{16}{3} = 8 \]

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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