38/92 multiplied by 127/6 in Fraction Form

The result of 38/92 multiplied by 127/6 is: 8 205/276

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3892 and 1276.

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 127 = 4826

Step 3: Multiply the Denominators

Multiply the denominators: 92 × 6 = 552

Step 4: Simplify the Fraction

We can simplify 4826552 to its lowest form.
The greatest common divisor (GCD) of 4826 and 552 is 2.
Dividing both numerator and denominator by the GCD, we get 2413276.

Step 5: Convert to Mixed Number

The fraction 2413276 can be written as the mixed number 8205276.

Final Answer

The result of 38/92 multiplied by 127/6 is:

3892×1276=8205276

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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