15/127 multiplied by 115/3 in Fraction Form

The result of 15/127 multiplied by 115/3 is: 4 67/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 15127 and 1153.

Step 2: Multiply the Numerators

Multiply the numerators: 15 × 115 = 1725

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 3 = 381

Step 4: Simplify the Fraction

We can simplify 1725381 to its lowest form.
The greatest common divisor (GCD) of 1725 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 575127.

Step 5: Convert to Mixed Number

The fraction 575127 can be written as the mixed number 467127.

Final Answer

The result of 15/127 multiplied by 115/3 is:

15127×1153=467127

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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