38/102 multiplied by 34/4 in Fraction Form

The result of 38/102 multiplied by 34/4 is: 3 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{8} 102$ and $\frac{3}{4} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 34 = 1292

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 4 = 408

Step 4: Simplify the Fraction

We can simplify $\frac{1}{2} 92408$ to its lowest form.
The greatest common divisor (GCD) of 1292 and 408 is 68.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{9} 6$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{9} 6$ can be written as the mixed number $3 \frac{1}{6}$ .

Final Answer

The result of 38/102 multiplied by 34/4 is:

\frac{38}{102} \times \frac{34}{4} = 3 \frac{1}{6}

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: