83/101 multiplied by 118/4 in Fraction Form

The result of 83/101 multiplied by 118/4 is: 24 49/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 83101 and 1184.

Step 2: Multiply the Numerators

Multiply the numerators: 83 × 118 = 9794

Step 3: Multiply the Denominators

Multiply the denominators: 101 × 4 = 404

Step 4: Simplify the Fraction

We can simplify 9794404 to its lowest form.
The greatest common divisor (GCD) of 9794 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 4897202.

Step 5: Convert to Mixed Number

The fraction 4897202 can be written as the mixed number 2449202.

Final Answer

The result of 83/101 multiplied by 118/4 is:

83101×1184=2449202

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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