20/170 multiplied by 81/6 in Fraction Form

The result of 20/170 multiplied by 81/6 is: 1 10/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20170 and 816.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 81 = 1620

Step 3: Multiply the Denominators

Multiply the denominators: 170 × 6 = 1020

Step 4: Simplify the Fraction

We can simplify 16201020 to its lowest form.
The greatest common divisor (GCD) of 1620 and 1020 is 60.
Dividing both numerator and denominator by the GCD, we get 2717.

Step 5: Convert to Mixed Number

The fraction 2717 can be written as the mixed number 11017.

Final Answer

The result of 20/170 multiplied by 81/6 is:

20170×816=11017

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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