27/12 multiplied by 213/4 in Fraction Form

The result of 27/12 multiplied by 213/4 is: 119 13/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2712 and 2134.

Step 2: Multiply the Numerators

Multiply the numerators: 27 × 213 = 5751

Step 3: Multiply the Denominators

Multiply the denominators: 12 × 4 = 48

Step 4: Simplify the Fraction

We can simplify 575148 to its lowest form.
The greatest common divisor (GCD) of 5751 and 48 is 3.
Dividing both numerator and denominator by the GCD, we get 191716.

Step 5: Convert to Mixed Number

The fraction 191716 can be written as the mixed number 1191316.

Final Answer

The result of 27/12 multiplied by 213/4 is:

2712×2134=1191316

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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