127/69 multiplied by 45/3 in Fraction Form

The result of 127/69 multiplied by 45/3 is: 27 14/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12769 and 453.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 45 = 5715

Step 3: Multiply the Denominators

Multiply the denominators: 69 × 3 = 207

Step 4: Simplify the Fraction

We can simplify 5715207 to its lowest form.
The greatest common divisor (GCD) of 5715 and 207 is 9.
Dividing both numerator and denominator by the GCD, we get 63523.

Step 5: Convert to Mixed Number

The fraction 63523 can be written as the mixed number 271423.

Final Answer

The result of 127/69 multiplied by 45/3 is:

12769×453=271423

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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