31/48 multiplied by 233/3 in Fraction Form

The result of 31/48 multiplied by 233/3 is: 50 23/144

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{1} 48$ and $\frac{2}{3} 33$ .

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 233 = 7223

Step 3: Multiply the Denominators

Multiply the denominators: 48 × 3 = 144

Step 4: Convert to Mixed Number

The fraction $\frac{7}{2} 23144$ can be written as the mixed number $50 \frac{2}{3} 144$ .

Final Answer

The result of 31/48 multiplied by 233/3 is:

\frac{31}{48} \times \frac{233}{3} = 50 \frac{2}{3} 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).

Fraction Calculator

Calculate operations between any two fractions: