69/83 multiplied by 166/4 in Fraction Form

The result of 69/83 multiplied by 166/4 is: 34 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 6983 and 1664.

Step 2: Multiply the Numerators

Multiply the numerators: 69 × 166 = 11454

Step 3: Multiply the Denominators

Multiply the denominators: 83 × 4 = 332

Step 4: Simplify the Fraction

We can simplify 11454332 to its lowest form.
The greatest common divisor (GCD) of 11454 and 332 is 166.
Dividing both numerator and denominator by the GCD, we get 692.

Step 5: Convert to Mixed Number

The fraction 692 can be written as the mixed number 3412.

Final Answer

The result of 69/83 multiplied by 166/4 is:

6983×1664=3412

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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