47/139 multiplied by 102/3 in Fraction Form

The result of 47/139 multiplied by 102/3 is: 11 69/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 47139 and 1023.

Step 2: Multiply the Numerators

Multiply the numerators: 47 × 102 = 4794

Step 3: Multiply the Denominators

Multiply the denominators: 139 × 3 = 417

Step 4: Simplify the Fraction

We can simplify 4794417 to its lowest form.
The greatest common divisor (GCD) of 4794 and 417 is 3.
Dividing both numerator and denominator by the GCD, we get 1598139.

Step 5: Convert to Mixed Number

The fraction 1598139 can be written as the mixed number 1169139.

Final Answer

The result of 47/139 multiplied by 102/3 is:

47139×1023=1169139

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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