69/72 multiplied by 135/2 in Fraction Form

The result of 69/72 multiplied by 135/2 is: 64 11/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{6}{9} 72$ and $\frac{1}{3} 52$ .

Step 2: Multiply the Numerators

Multiply the numerators: 69 × 135 = 9315

Step 3: Multiply the Denominators

Multiply the denominators: 72 × 2 = 144

Step 4: Simplify the Fraction

We can simplify $\frac{9}{3} 15144$ to its lowest form.
The greatest common divisor (GCD) of 9315 and 144 is 9.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{0} 3516$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{0} 3516$ can be written as the mixed number $64 \frac{1}{1} 16$ .

Final Answer

The result of 69/72 multiplied by 135/2 is:

\frac{69}{72} \times \frac{135}{2} = 64 \frac{1}{1} 16

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: