213/82 multiplied by 8/4 in Fraction Form

The result of 213/82 multiplied by 8/4 is: 5 8/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 21382 and 84.

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 8 = 1704

Step 3: Multiply the Denominators

Multiply the denominators: 82 × 4 = 328

Step 4: Simplify the Fraction

We can simplify 1704328 to its lowest form.
The greatest common divisor (GCD) of 1704 and 328 is 8.
Dividing both numerator and denominator by the GCD, we get 21341.

Step 5: Convert to Mixed Number

The fraction 21341 can be written as the mixed number 5841.

Final Answer

The result of 213/82 multiplied by 8/4 is:

21382×84=5841

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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