38/26 multiplied by 182/3 in Fraction Form

The result of 38/26 multiplied by 182/3 is: 88 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{8} 26$ and $\frac{1}{8} 23$ .

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 182 = 6916

Step 3: Multiply the Denominators

Multiply the denominators: 26 × 3 = 78

Step 4: Simplify the Fraction

We can simplify $\frac{6}{9} 1678$ to its lowest form.
The greatest common divisor (GCD) of 6916 and 78 is 26.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{6} 63$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{6} 63$ can be written as the mixed number $88 \frac{2}{3}$ .

Final Answer

The result of 38/26 multiplied by 182/3 is:

\frac{38}{26} \times \frac{182}{3} = 88 \frac{2}{3}

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: