202/32 multiplied by 67/4 in Fraction Form

The result of 202/32 multiplied by 67/4 is: 105 47/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 20232 and 674.

Step 2: Multiply the Numerators

Multiply the numerators: 202 × 67 = 13534

Step 3: Multiply the Denominators

Multiply the denominators: 32 × 4 = 128

Step 4: Simplify the Fraction

We can simplify 13534128 to its lowest form.
The greatest common divisor (GCD) of 13534 and 128 is 2.
Dividing both numerator and denominator by the GCD, we get 676764.

Step 5: Convert to Mixed Number

The fraction 676764 can be written as the mixed number 1054764.

Final Answer

The result of 202/32 multiplied by 67/4 is:

20232×674=1054764

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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