26/213 multiplied by 84/2 in Fraction Form

The result of 26/213 multiplied by 84/2 is: 5 9/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 26213 and 842.

Step 2: Multiply the Numerators

Multiply the numerators: 26 × 84 = 2184

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 2 = 426

Step 4: Simplify the Fraction

We can simplify 2184426 to its lowest form.
The greatest common divisor (GCD) of 2184 and 426 is 6.
Dividing both numerator and denominator by the GCD, we get 36471.

Step 5: Convert to Mixed Number

The fraction 36471 can be written as the mixed number 5971.

Final Answer

The result of 26/213 multiplied by 84/2 is:

26213×842=5971

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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