38/182 multiplied by 101/4 in Fraction Form

The result of 38/182 multiplied by 101/4 is: 5 99/364

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 38182 and 1014.

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 101 = 3838

Step 3: Multiply the Denominators

Multiply the denominators: 182 × 4 = 728

Step 4: Simplify the Fraction

We can simplify 3838728 to its lowest form.
The greatest common divisor (GCD) of 3838 and 728 is 2.
Dividing both numerator and denominator by the GCD, we get 1919364.

Step 5: Convert to Mixed Number

The fraction 1919364 can be written as the mixed number 599364.

Final Answer

The result of 38/182 multiplied by 101/4 is:

38182×1014=599364

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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