202/39 multiplied by 73/4 in Fraction Form

The result of 202/39 multiplied by 73/4 is: 94 41/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20239 and 734.

Step 2: Multiply the Numerators

Multiply the numerators: 202 × 73 = 14746

Step 3: Multiply the Denominators

Multiply the denominators: 39 × 4 = 156

Step 4: Simplify the Fraction

We can simplify 14746156 to its lowest form.
The greatest common divisor (GCD) of 14746 and 156 is 2.
Dividing both numerator and denominator by the GCD, we get 737378.

Step 5: Convert to Mixed Number

The fraction 737378 can be written as the mixed number 944178.

Final Answer

The result of 202/39 multiplied by 73/4 is:

20239×734=944178

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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