210/12 multiplied by 82/4 in Fraction Form

The result of 210/12 multiplied by 82/4 is: 358 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 21012 and 824.

Step 2: Multiply the Numerators

Multiply the numerators: 210 × 82 = 17220

Step 3: Multiply the Denominators

Multiply the denominators: 12 × 4 = 48

Step 4: Simplify the Fraction

We can simplify 1722048 to its lowest form.
The greatest common divisor (GCD) of 17220 and 48 is 12.
Dividing both numerator and denominator by the GCD, we get 14354.

Step 5: Convert to Mixed Number

The fraction 14354 can be written as the mixed number 35834.

Final Answer

The result of 210/12 multiplied by 82/4 is:

21012×824=35834

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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