10/127 multiplied by 41/2 in Fraction Form

The result of 10/127 multiplied by 41/2 is: 1 78/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 10127 and 412.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 41 = 410

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 2 = 254

Step 4: Simplify the Fraction

We can simplify 410254 to its lowest form.
The greatest common divisor (GCD) of 410 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 205127.

Step 5: Convert to Mixed Number

The fraction 205127 can be written as the mixed number 178127.

Final Answer

The result of 10/127 multiplied by 41/2 is:

10127×412=178127

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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