22/17 multiplied by 233/4 in Fraction Form

The result of 22/17 multiplied by 233/4 is: 75 13/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{2} 17$ and $\frac{2}{3} 34$ .

Step 2: Multiply the Numerators

Multiply the numerators: 22 × 233 = 5126

Step 3: Multiply the Denominators

Multiply the denominators: 17 × 4 = 68

Step 4: Simplify the Fraction

We can simplify $\frac{5}{1} 2668$ to its lowest form.
The greatest common divisor (GCD) of 5126 and 68 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{5} 6334$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{5} 6334$ can be written as the mixed number $75 \frac{1}{3} 34$ .

Final Answer

The result of 22/17 multiplied by 233/4 is:

\frac{22}{17} \times \frac{233}{4} = 75 \frac{1}{3} 34

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: