73/27 multiplied by 213/4 in Fraction Form

The result of 73/27 multiplied by 213/4 is: 143 35/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 7327 and 2134.

Step 2: Multiply the Numerators

Multiply the numerators: 73 × 213 = 15549

Step 3: Multiply the Denominators

Multiply the denominators: 27 × 4 = 108

Step 4: Simplify the Fraction

We can simplify 15549108 to its lowest form.
The greatest common divisor (GCD) of 15549 and 108 is 3.
Dividing both numerator and denominator by the GCD, we get 518336.

Step 5: Convert to Mixed Number

The fraction 518336 can be written as the mixed number 1433536.

Final Answer

The result of 73/27 multiplied by 213/4 is:

7327×2134=1433536

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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