53/127 multiplied by 102/6 in Fraction Form

The result of 53/127 multiplied by 102/6 is: 7 12/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 53127 and 1026.

Step 2: Multiply the Numerators

Multiply the numerators: 53 × 102 = 5406

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 6 = 762

Step 4: Simplify the Fraction

We can simplify 5406762 to its lowest form.
The greatest common divisor (GCD) of 5406 and 762 is 6.
Dividing both numerator and denominator by the GCD, we get 901127.

Step 5: Convert to Mixed Number

The fraction 901127 can be written as the mixed number 712127.

Final Answer

The result of 53/127 multiplied by 102/6 is:

53127×1026=712127

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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