50/127 multiplied by 170/4 in Fraction Form

The result of 50/127 multiplied by 170/4 is: 16 93/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 50127 and 1704.

Step 2: Multiply the Numerators

Multiply the numerators: 50 × 170 = 8500

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 4 = 508

Step 4: Simplify the Fraction

We can simplify 8500508 to its lowest form.
The greatest common divisor (GCD) of 8500 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 2125127.

Step 5: Convert to Mixed Number

The fraction 2125127 can be written as the mixed number 1693127.

Final Answer

The result of 50/127 multiplied by 170/4 is:

50127×1704=1693127

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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