38/67 multiplied by 7/2 in Fraction Form

The result of 38/67 multiplied by 7/2 is: 1 66/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{8} 67$ and $\frac{7}{2}$ .

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 7 = 266

Step 3: Multiply the Denominators

Multiply the denominators: 67 × 2 = 134

Step 4: Simplify the Fraction

We can simplify $\frac{2}{6} 6134$ to its lowest form.
The greatest common divisor (GCD) of 266 and 134 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{3} 367$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{3} 367$ can be written as the mixed number $1 \frac{6}{6} 67$ .

Final Answer

The result of 38/67 multiplied by 7/2 is:

\frac{38}{67} \times \frac{7}{2} = 1 \frac{6}{6} 67

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: