8/173 multiplied by 127/4 in Fraction Form

The result of 8/173 multiplied by 127/4 is: 1 81/173

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 8173 and 1274.

Step 2: Multiply the Numerators

Multiply the numerators: 8 × 127 = 1016

Step 3: Multiply the Denominators

Multiply the denominators: 173 × 4 = 692

Step 4: Simplify the Fraction

We can simplify 1016692 to its lowest form.
The greatest common divisor (GCD) of 1016 and 692 is 4.
Dividing both numerator and denominator by the GCD, we get 254173.

Step 5: Convert to Mixed Number

The fraction 254173 can be written as the mixed number 181173.

Final Answer

The result of 8/173 multiplied by 127/4 is:

8173×1274=181173

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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