42/101 multiplied by 185/2 in Fraction Form

The result of 42/101 multiplied by 185/2 is: 38 47/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 42101 and 1852.

Step 2: Multiply the Numerators

Multiply the numerators: 42 × 185 = 7770

Step 3: Multiply the Denominators

Multiply the denominators: 101 × 2 = 202

Step 4: Simplify the Fraction

We can simplify 7770202 to its lowest form.
The greatest common divisor (GCD) of 7770 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 3885101.

Step 5: Convert to Mixed Number

The fraction 3885101 can be written as the mixed number 3847101.

Final Answer

The result of 42/101 multiplied by 185/2 is:

42101×1852=3847101

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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