117/81 multiplied by 101/2 in Fraction Form

The result of 117/81 multiplied by 101/2 is: 72 17/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 11781 and 1012.

Step 2: Multiply the Numerators

Multiply the numerators: 117 × 101 = 11817

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 2 = 162

Step 4: Simplify the Fraction

We can simplify 11817162 to its lowest form.
The greatest common divisor (GCD) of 11817 and 162 is 9.
Dividing both numerator and denominator by the GCD, we get 131318.

Step 5: Convert to Mixed Number

The fraction 131318 can be written as the mixed number 721718.

Final Answer

The result of 117/81 multiplied by 101/2 is:

11781×1012=721718

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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