201/112 multiplied by 14/2 in Fraction Form

The result of 201/112 multiplied by 14/2 is: 12 9/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 201112 and 142.

Step 2: Multiply the Numerators

Multiply the numerators: 201 × 14 = 2814

Step 3: Multiply the Denominators

Multiply the denominators: 112 × 2 = 224

Step 4: Simplify the Fraction

We can simplify 2814224 to its lowest form.
The greatest common divisor (GCD) of 2814 and 224 is 14.
Dividing both numerator and denominator by the GCD, we get 20116.

Step 5: Convert to Mixed Number

The fraction 20116 can be written as the mixed number 12916.

Final Answer

The result of 201/112 multiplied by 14/2 is:

201112×142=12916

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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