201/15 multiplied by 71/2 in Fraction Form

The result of 201/15 multiplied by 71/2 is: 475 7/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20115 and 712.

Step 2: Multiply the Numerators

Multiply the numerators: 201 × 71 = 14271

Step 3: Multiply the Denominators

Multiply the denominators: 15 × 2 = 30

Step 4: Simplify the Fraction

We can simplify 1427130 to its lowest form.
The greatest common divisor (GCD) of 14271 and 30 is 3.
Dividing both numerator and denominator by the GCD, we get 475710.

Step 5: Convert to Mixed Number

The fraction 475710 can be written as the mixed number 475710.

Final Answer

The result of 201/15 multiplied by 71/2 is:

20115×712=475710

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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