82/168 multiplied by 81/4 in Fraction Form

The result of 82/168 multiplied by 81/4 is: 9 99/112

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 82168 and 814.

Step 2: Multiply the Numerators

Multiply the numerators: 82 × 81 = 6642

Step 3: Multiply the Denominators

Multiply the denominators: 168 × 4 = 672

Step 4: Simplify the Fraction

We can simplify 6642672 to its lowest form.
The greatest common divisor (GCD) of 6642 and 672 is 6.
Dividing both numerator and denominator by the GCD, we get 1107112.

Step 5: Convert to Mixed Number

The fraction 1107112 can be written as the mixed number 999112.

Final Answer

The result of 82/168 multiplied by 81/4 is:

82168×814=999112

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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