229/7 multiplied by 47/2 in Fraction Form

The result of 229/7 multiplied by 47/2 is: 768 11/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac2297\) and \(\frac472\).

Step 2: Multiply the Numerators

Multiply the numerators: 229 × 47 = 10763

Step 3: Multiply the Denominators

Multiply the denominators: 7 × 2 = 14

Step 4: Convert to Mixed Number

The fraction \(\frac1076314\) can be written as the mixed number \(768\frac1114\).

Final Answer

The result of 229/7 multiplied by 47/2 is:

\[ \frac{229}{7} \times \frac{47}{2} = 768\frac1114 \]

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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