21/6 added to 201/2 in Fraction Form

The result of 21/6 added to 201/2 is: 104

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac216\) and \(\frac2012\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 6 and 2 is 6.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac216\) to \(\frac{21}6\)
Convert \(\frac2012\) to \(\frac{603}6\)

Step 4: Add the Numerators

Add the numerators: 21 + 603 = 624

Step 5: Simplify the Fraction

We can simplify \(\frac6246\) to its lowest form.
The greatest common divisor (GCD) of 624 and 6 is 6.
Dividing both numerator and denominator by the GCD, we get \(\frac1041\).

Final Answer

The result of 21/6 added to 201/2 is:

\[ \frac{21}{6} + \frac{201}{2} = 104 \]

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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