157/127 multiplied by 42/2 in Fraction Form

The result of 157/127 multiplied by 42/2 is: 25 122/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 157127 and 422.

Step 2: Multiply the Numerators

Multiply the numerators: 157 × 42 = 6594

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 2 = 254

Step 4: Simplify the Fraction

We can simplify 6594254 to its lowest form.
The greatest common divisor (GCD) of 6594 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 3297127.

Step 5: Convert to Mixed Number

The fraction 3297127 can be written as the mixed number 25122127.

Final Answer

The result of 157/127 multiplied by 42/2 is:

157127×422=25122127

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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