122/127 multiplied by 82/4 in Fraction Form

The result of 122/127 multiplied by 82/4 is: 19 88/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 122127 and 824.

Step 2: Multiply the Numerators

Multiply the numerators: 122 × 82 = 10004

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 4 = 508

Step 4: Simplify the Fraction

We can simplify 10004508 to its lowest form.
The greatest common divisor (GCD) of 10004 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 2501127.

Step 5: Convert to Mixed Number

The fraction 2501127 can be written as the mixed number 1988127.

Final Answer

The result of 122/127 multiplied by 82/4 is:

122127×824=1988127

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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