127/12 multiplied by 126/3 in Fraction Form

The result of 127/12 multiplied by 126/3 is: 444 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12712 and 1263.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 126 = 16002

Step 3: Multiply the Denominators

Multiply the denominators: 12 × 3 = 36

Step 4: Simplify the Fraction

We can simplify 1600236 to its lowest form.
The greatest common divisor (GCD) of 16002 and 36 is 18.
Dividing both numerator and denominator by the GCD, we get 8892.

Step 5: Convert to Mixed Number

The fraction 8892 can be written as the mixed number 44412.

Final Answer

The result of 127/12 multiplied by 126/3 is:

12712×1263=44412

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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