69/101 multiplied by 92/3 in Fraction Form

The result of 69/101 multiplied by 92/3 is: 20 96/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 69101 and 923.

Step 2: Multiply the Numerators

Multiply the numerators: 69 × 92 = 6348

Step 3: Multiply the Denominators

Multiply the denominators: 101 × 3 = 303

Step 4: Simplify the Fraction

We can simplify 6348303 to its lowest form.
The greatest common divisor (GCD) of 6348 and 303 is 3.
Dividing both numerator and denominator by the GCD, we get 2116101.

Step 5: Convert to Mixed Number

The fraction 2116101 can be written as the mixed number 2096101.

Final Answer

The result of 69/101 multiplied by 92/3 is:

69101×923=2096101

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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