127/169 multiplied by 24/3 in Fraction Form

The result of 127/169 multiplied by 24/3 is: 6 2/169

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 127169 and 243.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 24 = 3048

Step 3: Multiply the Denominators

Multiply the denominators: 169 × 3 = 507

Step 4: Simplify the Fraction

We can simplify 3048507 to its lowest form.
The greatest common divisor (GCD) of 3048 and 507 is 3.
Dividing both numerator and denominator by the GCD, we get 1016169.

Step 5: Convert to Mixed Number

The fraction 1016169 can be written as the mixed number 62169.

Final Answer

The result of 127/169 multiplied by 24/3 is:

127169×243=62169

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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