67/69 multiplied by 132/4 in Fraction Form

The result of 67/69 multiplied by 132/4 is: 32 1/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 6769 and 1324.

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 132 = 8844

Step 3: Multiply the Denominators

Multiply the denominators: 69 × 4 = 276

Step 4: Simplify the Fraction

We can simplify 8844276 to its lowest form.
The greatest common divisor (GCD) of 8844 and 276 is 12.
Dividing both numerator and denominator by the GCD, we get 73723.

Step 5: Convert to Mixed Number

The fraction 73723 can be written as the mixed number 32123.

Final Answer

The result of 67/69 multiplied by 132/4 is:

6769×1324=32123

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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