172/127 multiplied by 15/4 in Fraction Form

The result of 172/127 multiplied by 15/4 is: 5 10/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 172127 and 154.

Step 2: Multiply the Numerators

Multiply the numerators: 172 × 15 = 2580

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 4 = 508

Step 4: Simplify the Fraction

We can simplify 2580508 to its lowest form.
The greatest common divisor (GCD) of 2580 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 645127.

Step 5: Convert to Mixed Number

The fraction 645127 can be written as the mixed number 510127.

Final Answer

The result of 172/127 multiplied by 15/4 is:

172127×154=510127

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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