27/24 multiplied by 35/4 in Fraction Form

The result of 27/24 multiplied by 35/4 is: 9 27/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{7} 24$ and $\frac{3}{5} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 27 × 35 = 945

Step 3: Multiply the Denominators

Multiply the denominators: 24 × 4 = 96

Step 4: Simplify the Fraction

We can simplify $\frac{9}{4} 596$ to its lowest form.
The greatest common divisor (GCD) of 945 and 96 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{1} 532$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{1} 532$ can be written as the mixed number $9 \frac{2}{7} 32$ .

Final Answer

The result of 27/24 multiplied by 35/4 is:

\frac{27}{24} \times \frac{35}{4} = 9 \frac{2}{7} 32

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: