38/83 multiplied by 76/3 in Fraction Form

The result of 38/83 multiplied by 76/3 is: 11 149/249

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac3883\) and \(\frac763\).

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 76 = 2888

Step 3: Multiply the Denominators

Multiply the denominators: 83 × 3 = 249

Step 4: Convert to Mixed Number

The fraction \(\frac2888249\) can be written as the mixed number \(11\frac149249\).

Final Answer

The result of 38/83 multiplied by 76/3 is:

\[ \frac{38}{83} \times \frac{76}{3} = 11\frac149249 \]

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

\( \frac{38}{83} + \frac{76}{3} \)
Calculate
\( \frac{38}{83} - \frac{76}{3} \)
Calculate
\( \frac{38}{83} \div \frac{76}{3} \)
Calculate
\( \frac{39}{83} \times \frac{76}{3} \)
Calculate
\( \frac{38}{83} \times \frac{77}{3} \)
Calculate
\( \frac{38}{84} \times \frac{76}{3} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: