177/81 multiplied by 67/4 in Fraction Form

The result of 177/81 multiplied by 67/4 is: 36 65/108

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 17781 and 674.

Step 2: Multiply the Numerators

Multiply the numerators: 177 × 67 = 11859

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 4 = 324

Step 4: Simplify the Fraction

We can simplify 11859324 to its lowest form.
The greatest common divisor (GCD) of 11859 and 324 is 3.
Dividing both numerator and denominator by the GCD, we get 3953108.

Step 5: Convert to Mixed Number

The fraction 3953108 can be written as the mixed number 3665108.

Final Answer

The result of 177/81 multiplied by 67/4 is:

17781×674=3665108

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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