17/24 multiplied by 31/6 in Fraction Form

The result of 17/24 multiplied by 31/6 is: 3 95/144

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{7} 24$ and $\frac{3}{1} 6$ .

Step 2: Multiply the Numerators

Multiply the numerators: 17 × 31 = 527

Step 3: Multiply the Denominators

Multiply the denominators: 24 × 6 = 144

Step 4: Convert to Mixed Number

The fraction $\frac{5}{2} 7144$ can be written as the mixed number $3 \frac{9}{5} 144$ .

Final Answer

The result of 17/24 multiplied by 31/6 is:

\frac{17}{24} \times \frac{31}{6} = 3 \frac{9}{5} 144

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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