262/32 multiplied by 3/4 in Fraction Form

The result of 262/32 multiplied by 3/4 is: 6 9/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{6} 232$ and $\frac{3}{4}$ .

Step 2: Multiply the Numerators

Multiply the numerators: 262 × 3 = 786

Step 3: Multiply the Denominators

Multiply the denominators: 32 × 4 = 128

Step 4: Simplify the Fraction

We can simplify $\frac{7}{8} 6128$ to its lowest form.
The greatest common divisor (GCD) of 786 and 128 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{9} 364$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{9} 364$ can be written as the mixed number $6 \frac{9}{6} 4$ .

Final Answer

The result of 262/32 multiplied by 3/4 is:

\frac{262}{32} \times \frac{3}{4} = 6 \frac{9}{6} 4

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: