177/23 multiplied by 102/2 in Fraction Form

The result of 177/23 multiplied by 102/2 is: 392 11/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{7} 723$ and $\frac{1}{0} 22$ .

Step 2: Multiply the Numerators

Multiply the numerators: 177 × 102 = 18054

Step 3: Multiply the Denominators

Multiply the denominators: 23 × 2 = 46

Step 4: Simplify the Fraction

We can simplify $\frac{1}{8} 05446$ to its lowest form.
The greatest common divisor (GCD) of 18054 and 46 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{0} 2723$ .

Step 5: Convert to Mixed Number

The fraction $\frac{9}{0} 2723$ can be written as the mixed number $392 \frac{1}{1} 23$ .

Final Answer

The result of 177/23 multiplied by 102/2 is:

\frac{177}{23} \times \frac{102}{2} = 392 \frac{1}{1} 23

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: