7/81 multiplied by 184/4 in Fraction Form

The result of 7/81 multiplied by 184/4 is: 3 79/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{7}{8} 1$ and $\frac{1}{8} 44$ .

Step 2: Multiply the Numerators

Multiply the numerators: 7 × 184 = 1288

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 4 = 324

Step 4: Simplify the Fraction

We can simplify $\frac{1}{2} 88324$ to its lowest form.
The greatest common divisor (GCD) of 1288 and 324 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{2} 281$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{2} 281$ can be written as the mixed number $3 \frac{7}{9} 81$ .

Final Answer

The result of 7/81 multiplied by 184/4 is:

\frac{7}{81} \times \frac{184}{4} = 3 \frac{7}{9} 81

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: