64/127 multiplied by 85/2 in Fraction Form

The result of 64/127 multiplied by 85/2 is: 21 53/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{6}{4} 127$ and $\frac{8}{5} 2$ .

Step 2: Multiply the Numerators

Multiply the numerators: 64 × 85 = 5440

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 2 = 254

Step 4: Simplify the Fraction

We can simplify $\frac{5}{4} 40254$ to its lowest form.
The greatest common divisor (GCD) of 5440 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{7} 20127$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{7} 20127$ can be written as the mixed number $21 \frac{5}{3} 127$ .

Final Answer

The result of 64/127 multiplied by 85/2 is:

\frac{64}{127} \times \frac{85}{2} = 21 \frac{5}{3} 127

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).

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