81/213 multiplied by 10/3 in Fraction Form

The result of 81/213 multiplied by 10/3 is: 1 19/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 81213 and 103.

Step 2: Multiply the Numerators

Multiply the numerators: 81 × 10 = 810

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 3 = 639

Step 4: Simplify the Fraction

We can simplify 810639 to its lowest form.
The greatest common divisor (GCD) of 810 and 639 is 9.
Dividing both numerator and denominator by the GCD, we get 9071.

Step 5: Convert to Mixed Number

The fraction 9071 can be written as the mixed number 11971.

Final Answer

The result of 81/213 multiplied by 10/3 is:

81213×103=11971

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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