127/146 multiplied by 8/3 in Fraction Form

The result of 127/146 multiplied by 8/3 is: 2 70/219

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 127146 and 83.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 8 = 1016

Step 3: Multiply the Denominators

Multiply the denominators: 146 × 3 = 438

Step 4: Simplify the Fraction

We can simplify 1016438 to its lowest form.
The greatest common divisor (GCD) of 1016 and 438 is 2.
Dividing both numerator and denominator by the GCD, we get 508219.

Step 5: Convert to Mixed Number

The fraction 508219 can be written as the mixed number 270219.

Final Answer

The result of 127/146 multiplied by 8/3 is:

127146×83=270219

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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