102/109 multiplied by 101/4 in Fraction Form

The result of 102/109 multiplied by 101/4 is: 23 137/218

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 102109 and 1014.

Step 2: Multiply the Numerators

Multiply the numerators: 102 × 101 = 10302

Step 3: Multiply the Denominators

Multiply the denominators: 109 × 4 = 436

Step 4: Simplify the Fraction

We can simplify 10302436 to its lowest form.
The greatest common divisor (GCD) of 10302 and 436 is 2.
Dividing both numerator and denominator by the GCD, we get 5151218.

Step 5: Convert to Mixed Number

The fraction 5151218 can be written as the mixed number 23137218.

Final Answer

The result of 102/109 multiplied by 101/4 is:

102109×1014=23137218

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).

Fraction Calculator

Calculate operations between any two fractions: