67/118 multiplied by 82/4 in Fraction Form

The result of 67/118 multiplied by 82/4 is: 11 151/236

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 67118 and 824.

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 82 = 5494

Step 3: Multiply the Denominators

Multiply the denominators: 118 × 4 = 472

Step 4: Simplify the Fraction

We can simplify 5494472 to its lowest form.
The greatest common divisor (GCD) of 5494 and 472 is 2.
Dividing both numerator and denominator by the GCD, we get 2747236.

Step 5: Convert to Mixed Number

The fraction 2747236 can be written as the mixed number 11151236.

Final Answer

The result of 67/118 multiplied by 82/4 is:

67118×824=11151236

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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