31/48 multiplied by 77/4 in Fraction Form

The result of 31/48 multiplied by 77/4 is: 12 83/192

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac3148\) and \(\frac774\).

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 77 = 2387

Step 3: Multiply the Denominators

Multiply the denominators: 48 × 4 = 192

Step 4: Convert to Mixed Number

The fraction \(\frac2387192\) can be written as the mixed number \(12\frac83192\).

Final Answer

The result of 31/48 multiplied by 77/4 is:

\[ \frac{31}{48} \times \frac{77}{4} = 12\frac83192 \]

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).

Related Calculations

\( \frac{31}{48} + \frac{77}{4} \)
Calculate
\( \frac{31}{48} - \frac{77}{4} \)
Calculate
\( \frac{31}{48} \div \frac{77}{4} \)
Calculate
\( \frac{32}{48} \times \frac{77}{4} \)
Calculate
\( \frac{31}{48} \times \frac{78}{4} \)
Calculate
\( \frac{31}{49} \times \frac{77}{4} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: