201/22 multiplied by 85/3 in Fraction Form

The result of 201/22 multiplied by 85/3 is: 258 19/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20122 and 853.

Step 2: Multiply the Numerators

Multiply the numerators: 201 × 85 = 17085

Step 3: Multiply the Denominators

Multiply the denominators: 22 × 3 = 66

Step 4: Simplify the Fraction

We can simplify 1708566 to its lowest form.
The greatest common divisor (GCD) of 17085 and 66 is 3.
Dividing both numerator and denominator by the GCD, we get 569522.

Step 5: Convert to Mixed Number

The fraction 569522 can be written as the mixed number 2581922.

Final Answer

The result of 201/22 multiplied by 85/3 is:

20122×853=2581922

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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