83/148 multiplied by 102/2 in Fraction Form

The result of 83/148 multiplied by 102/2 is: 28 89/148

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 83148 and 1022.

Step 2: Multiply the Numerators

Multiply the numerators: 83 × 102 = 8466

Step 3: Multiply the Denominators

Multiply the denominators: 148 × 2 = 296

Step 4: Simplify the Fraction

We can simplify 8466296 to its lowest form.
The greatest common divisor (GCD) of 8466 and 296 is 2.
Dividing both numerator and denominator by the GCD, we get 4233148.

Step 5: Convert to Mixed Number

The fraction 4233148 can be written as the mixed number 2889148.

Final Answer

The result of 83/148 multiplied by 102/2 is:

83148×1022=2889148

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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