16/243 added to 11/3 in Fraction Form

The result of 16/243 added to 11/3 is: 3 178/243

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac16243\) and \(\frac113\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 243 and 3 is 243.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac16243\) to \(\frac{16}243\)
Convert \(\frac113\) to \(\frac{891}243\)

Step 4: Add the Numerators

Add the numerators: 16 + 891 = 907

Step 5: Convert to Mixed Number

The fraction \(\frac907243\) can be written as the mixed number \(3\frac178243\).

Final Answer

The result of 16/243 added to 11/3 is:

\[ \frac{16}{243} + \frac{11}{3} = 3\frac178243 \]

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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