17/102 multiplied by 185/6 in Fraction Form

The result of 17/102 multiplied by 185/6 is: 5 5/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 17102 and 1856.

Step 2: Multiply the Numerators

Multiply the numerators: 17 × 185 = 3145

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 6 = 612

Step 4: Simplify the Fraction

We can simplify 3145612 to its lowest form.
The greatest common divisor (GCD) of 3145 and 612 is 17.
Dividing both numerator and denominator by the GCD, we get 18536.

Step 5: Convert to Mixed Number

The fraction 18536 can be written as the mixed number 5536.

Final Answer

The result of 17/102 multiplied by 185/6 is:

17102×1856=5536

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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