102/101 multiplied by 139/4 in Fraction Form

The result of 102/101 multiplied by 139/4 is: 35 19/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 102101 and 1394.

Step 2: Multiply the Numerators

Multiply the numerators: 102 × 139 = 14178

Step 3: Multiply the Denominators

Multiply the denominators: 101 × 4 = 404

Step 4: Simplify the Fraction

We can simplify 14178404 to its lowest form.
The greatest common divisor (GCD) of 14178 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 7089202.

Step 5: Convert to Mixed Number

The fraction 7089202 can be written as the mixed number 3519202.

Final Answer

The result of 102/101 multiplied by 139/4 is:

102101×1394=3519202

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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