32/142 multiplied by 99/2 in Fraction Form

The result of 32/142 multiplied by 99/2 is: 11 11/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 32142 and 992.

Step 2: Multiply the Numerators

Multiply the numerators: 32 × 99 = 3168

Step 3: Multiply the Denominators

Multiply the denominators: 142 × 2 = 284

Step 4: Simplify the Fraction

We can simplify 3168284 to its lowest form.
The greatest common divisor (GCD) of 3168 and 284 is 4.
Dividing both numerator and denominator by the GCD, we get 79271.

Step 5: Convert to Mixed Number

The fraction 79271 can be written as the mixed number 111171.

Final Answer

The result of 32/142 multiplied by 99/2 is:

32142×992=111171

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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