227/11 multiplied by 10/3 in Fraction Form

The result of 227/11 multiplied by 10/3 is: 68 26/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac22711\) and \(\frac103\).

Step 2: Multiply the Numerators

Multiply the numerators: 227 × 10 = 2270

Step 3: Multiply the Denominators

Multiply the denominators: 11 × 3 = 33

Step 4: Convert to Mixed Number

The fraction \(\frac227033\) can be written as the mixed number \(68\frac2633\).

Final Answer

The result of 227/11 multiplied by 10/3 is:

\[ \frac{227}{11} \times \frac{10}{3} = 68\frac2633 \]

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

\( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \)

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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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