38/100 multiplied by 101/2 in Fraction Form

The result of 38/100 multiplied by 101/2 is: 19 19/100

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 38100 and 1012.

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 101 = 3838

Step 3: Multiply the Denominators

Multiply the denominators: 100 × 2 = 200

Step 4: Simplify the Fraction

We can simplify 3838200 to its lowest form.
The greatest common divisor (GCD) of 3838 and 200 is 2.
Dividing both numerator and denominator by the GCD, we get 1919100.

Step 5: Convert to Mixed Number

The fraction 1919100 can be written as the mixed number 1919100.

Final Answer

The result of 38/100 multiplied by 101/2 is:

38100×1012=1919100

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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