38/20 multiplied by 19/6 in Fraction Form

The result of 38/20 multiplied by 19/6 is: 6 1/60

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3820 and 196.

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 19 = 722

Step 3: Multiply the Denominators

Multiply the denominators: 20 × 6 = 120

Step 4: Simplify the Fraction

We can simplify 722120 to its lowest form.
The greatest common divisor (GCD) of 722 and 120 is 2.
Dividing both numerator and denominator by the GCD, we get 36160.

Step 5: Convert to Mixed Number

The fraction 36160 can be written as the mixed number 6160.

Final Answer

The result of 38/20 multiplied by 19/6 is:

3820×196=6160

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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