82/13 multiplied by 110/3 in Fraction Form

The result of 82/13 multiplied by 110/3 is: 231 11/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac8213\) and \(\frac1103\).

Step 2: Multiply the Numerators

Multiply the numerators: 82 × 110 = 9020

Step 3: Multiply the Denominators

Multiply the denominators: 13 × 3 = 39

Step 4: Convert to Mixed Number

The fraction \(\frac902039\) can be written as the mixed number \(231\frac1139\).

Final Answer

The result of 82/13 multiplied by 110/3 is:

\[ \frac{82}{13} \times \frac{110}{3} = 231\frac1139 \]

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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