139/82 multiplied by 102/4 in Fraction Form

The result of 139/82 multiplied by 102/4 is: 43 37/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 13982 and 1024.

Step 2: Multiply the Numerators

Multiply the numerators: 139 × 102 = 14178

Step 3: Multiply the Denominators

Multiply the denominators: 82 × 4 = 328

Step 4: Simplify the Fraction

We can simplify 14178328 to its lowest form.
The greatest common divisor (GCD) of 14178 and 328 is 2.
Dividing both numerator and denominator by the GCD, we get 7089164.

Step 5: Convert to Mixed Number

The fraction 7089164 can be written as the mixed number 4337164.

Final Answer

The result of 139/82 multiplied by 102/4 is:

13982×1024=4337164

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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