31/21 multiplied by 12/2 in Fraction Form

The result of 31/21 multiplied by 12/2 is: 8 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3121 and 122.

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 12 = 372

Step 3: Multiply the Denominators

Multiply the denominators: 21 × 2 = 42

Step 4: Simplify the Fraction

We can simplify 37242 to its lowest form.
The greatest common divisor (GCD) of 372 and 42 is 6.
Dividing both numerator and denominator by the GCD, we get 627.

Step 5: Convert to Mixed Number

The fraction 627 can be written as the mixed number 867.

Final Answer

The result of 31/21 multiplied by 12/2 is:

3121×122=867

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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