176/147 multiplied by 82/3 in Fraction Form

The result of 176/147 multiplied by 82/3 is: 32 320/441

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac176147\) and \(\frac823\).

Step 2: Multiply the Numerators

Multiply the numerators: 176 × 82 = 14432

Step 3: Multiply the Denominators

Multiply the denominators: 147 × 3 = 441

Step 4: Convert to Mixed Number

The fraction \(\frac14432441\) can be written as the mixed number \(32\frac320441\).

Final Answer

The result of 176/147 multiplied by 82/3 is:

\[ \frac{176}{147} \times \frac{82}{3} = 32\frac320441 \]

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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