11/15 multiplied by 49/4 in Fraction Form

The result of 11/15 multiplied by 49/4 is: 8 59/60

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac1115\) and \(\frac494\).

Step 2: Multiply the Numerators

Multiply the numerators: 11 × 49 = 539

Step 3: Multiply the Denominators

Multiply the denominators: 15 × 4 = 60

Step 4: Convert to Mixed Number

The fraction \(\frac53960\) can be written as the mixed number \(8\frac5960\).

Final Answer

The result of 11/15 multiplied by 49/4 is:

\[ \frac{11}{15} \times \frac{49}{4} = 8\frac5960 \]

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

\( \frac{11}{15} + \frac{49}{4} \)
Calculate
\( \frac{11}{15} - \frac{49}{4} \)
Calculate
\( \frac{11}{15} \div \frac{49}{4} \)
Calculate
\( \frac{12}{15} \times \frac{49}{4} \)
Calculate
\( \frac{11}{15} \times \frac{50}{4} \)
Calculate
\( \frac{11}{16} \times \frac{49}{4} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: