32/81 multiplied by 101/6 in Fraction Form

The result of 32/81 multiplied by 101/6 is: 6 158/243

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3281 and 1016.

Step 2: Multiply the Numerators

Multiply the numerators: 32 × 101 = 3232

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 6 = 486

Step 4: Simplify the Fraction

We can simplify 3232486 to its lowest form.
The greatest common divisor (GCD) of 3232 and 486 is 2.
Dividing both numerator and denominator by the GCD, we get 1616243.

Step 5: Convert to Mixed Number

The fraction 1616243 can be written as the mixed number 6158243.

Final Answer

The result of 32/81 multiplied by 101/6 is:

3281×1016=6158243

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×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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