102/118 multiplied by 81/3 in Fraction Form

The result of 102/118 multiplied by 81/3 is: 23 20/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 102118 and 813.

Step 2: Multiply the Numerators

Multiply the numerators: 102 × 81 = 8262

Step 3: Multiply the Denominators

Multiply the denominators: 118 × 3 = 354

Step 4: Simplify the Fraction

We can simplify 8262354 to its lowest form.
The greatest common divisor (GCD) of 8262 and 354 is 6.
Dividing both numerator and denominator by the GCD, we get 137759.

Step 5: Convert to Mixed Number

The fraction 137759 can be written as the mixed number 232059.

Final Answer

The result of 102/118 multiplied by 81/3 is:

102118×813=232059

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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