67/71 multiplied by 97/4 in Fraction Form

The result of 67/71 multiplied by 97/4 is: 22 251/284

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac6771\) and \(\frac974\).

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 97 = 6499

Step 3: Multiply the Denominators

Multiply the denominators: 71 × 4 = 284

Step 4: Convert to Mixed Number

The fraction \(\frac6499284\) can be written as the mixed number \(22\frac251284\).

Final Answer

The result of 67/71 multiplied by 97/4 is:

\[ \frac{67}{71} \times \frac{97}{4} = 22\frac251284 \]

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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