21/73 multiplied by 15/4 in Fraction Form

The result of 21/73 multiplied by 15/4 is: 1 23/292

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac2173\) and \(\frac154\).

Step 2: Multiply the Numerators

Multiply the numerators: 21 × 15 = 315

Step 3: Multiply the Denominators

Multiply the denominators: 73 × 4 = 292

Step 4: Convert to Mixed Number

The fraction \(\frac315292\) can be written as the mixed number \(1\frac23292\).

Final Answer

The result of 21/73 multiplied by 15/4 is:

\[ \frac{21}{73} \times \frac{15}{4} = 1\frac23292 \]

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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