263/101 multiplied by 13/4 in Fraction Form

The result of 263/101 multiplied by 13/4 is: 8 187/404

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac263101\) and \(\frac134\).

Step 2: Multiply the Numerators

Multiply the numerators: 263 × 13 = 3419

Step 3: Multiply the Denominators

Multiply the denominators: 101 × 4 = 404

Step 4: Convert to Mixed Number

The fraction \(\frac3419404\) can be written as the mixed number \(8\frac187404\).

Final Answer

The result of 263/101 multiplied by 13/4 is:

\[ \frac{263}{101} \times \frac{13}{4} = 8\frac187404 \]

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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