72/102 multiplied by 101/3 in Fraction Form

The result of 72/102 multiplied by 101/3 is: 23 13/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 72102 and 1013.

Step 2: Multiply the Numerators

Multiply the numerators: 72 × 101 = 7272

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 3 = 306

Step 4: Simplify the Fraction

We can simplify 7272306 to its lowest form.
The greatest common divisor (GCD) of 7272 and 306 is 18.
Dividing both numerator and denominator by the GCD, we get 40417.

Step 5: Convert to Mixed Number

The fraction 40417 can be written as the mixed number 231317.

Final Answer

The result of 72/102 multiplied by 101/3 is:

72102×1013=231317

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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