127/47 multiplied by 64/6 in Fraction Form

The result of 127/47 multiplied by 64/6 is: 28 116/141

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{2} 747$ and $\frac{6}{4} 6$ .

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 64 = 8128

Step 3: Multiply the Denominators

Multiply the denominators: 47 × 6 = 282

Step 4: Simplify the Fraction

We can simplify $\frac{8}{1} 28282$ to its lowest form.
The greatest common divisor (GCD) of 8128 and 282 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{4}{0} 64141$ .

Step 5: Convert to Mixed Number

The fraction $\frac{4}{0} 64141$ can be written as the mixed number $28 \frac{1}{1} 6141$ .

Final Answer

The result of 127/47 multiplied by 64/6 is:

\frac{127}{47} \times \frac{64}{6} = 28 \frac{1}{1} 6141

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: