39/20 multiplied by 17/6 in Fraction Form

The result of 39/20 multiplied by 17/6 is: 5 21/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3920 and 176.

Step 2: Multiply the Numerators

Multiply the numerators: 39 × 17 = 663

Step 3: Multiply the Denominators

Multiply the denominators: 20 × 6 = 120

Step 4: Simplify the Fraction

We can simplify 663120 to its lowest form.
The greatest common divisor (GCD) of 663 and 120 is 3.
Dividing both numerator and denominator by the GCD, we get 22140.

Step 5: Convert to Mixed Number

The fraction 22140 can be written as the mixed number 52140.

Final Answer

The result of 39/20 multiplied by 17/6 is:

3920×176=52140

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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