46/127 multiplied by 136/2 in Fraction Form

The result of 46/127 multiplied by 136/2 is: 24 80/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 46127 and 1362.

Step 2: Multiply the Numerators

Multiply the numerators: 46 × 136 = 6256

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 2 = 254

Step 4: Simplify the Fraction

We can simplify 6256254 to its lowest form.
The greatest common divisor (GCD) of 6256 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 3128127.

Step 5: Convert to Mixed Number

The fraction 3128127 can be written as the mixed number 2480127.

Final Answer

The result of 46/127 multiplied by 136/2 is:

46127×1362=2480127

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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