38/28 multiplied by 8/4 in Fraction Form

The result of 38/28 multiplied by 8/4 is: 2 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3828 and 84.

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 8 = 304

Step 3: Multiply the Denominators

Multiply the denominators: 28 × 4 = 112

Step 4: Simplify the Fraction

We can simplify 304112 to its lowest form.
The greatest common divisor (GCD) of 304 and 112 is 16.
Dividing both numerator and denominator by the GCD, we get 197.

Step 5: Convert to Mixed Number

The fraction 197 can be written as the mixed number 257.

Final Answer

The result of 38/28 multiplied by 8/4 is:

3828×84=257

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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