34/127 multiplied by 100/2 in Fraction Form

The result of 34/127 multiplied by 100/2 is: 13 49/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 34127 and 1002.

Step 2: Multiply the Numerators

Multiply the numerators: 34 × 100 = 3400

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 2 = 254

Step 4: Simplify the Fraction

We can simplify 3400254 to its lowest form.
The greatest common divisor (GCD) of 3400 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 1700127.

Step 5: Convert to Mixed Number

The fraction 1700127 can be written as the mixed number 1349127.

Final Answer

The result of 34/127 multiplied by 100/2 is:

34127×1002=1349127

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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