22/213 multiplied by 48/2 in Fraction Form

The result of 22/213 multiplied by 48/2 is: 2 34/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 22213 and 482.

Step 2: Multiply the Numerators

Multiply the numerators: 22 × 48 = 1056

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 2 = 426

Step 4: Simplify the Fraction

We can simplify 1056426 to its lowest form.
The greatest common divisor (GCD) of 1056 and 426 is 6.
Dividing both numerator and denominator by the GCD, we get 17671.

Step 5: Convert to Mixed Number

The fraction 17671 can be written as the mixed number 23471.

Final Answer

The result of 22/213 multiplied by 48/2 is:

22213×482=23471

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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