82/10 multiplied by 185/4 in Fraction Form

The result of 82/10 multiplied by 185/4 is: 379 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 8210 and 1854.

Step 2: Multiply the Numerators

Multiply the numerators: 82 × 185 = 15170

Step 3: Multiply the Denominators

Multiply the denominators: 10 × 4 = 40

Step 4: Simplify the Fraction

We can simplify 1517040 to its lowest form.
The greatest common divisor (GCD) of 15170 and 40 is 10.
Dividing both numerator and denominator by the GCD, we get 15174.

Step 5: Convert to Mixed Number

The fraction 15174 can be written as the mixed number 37914.

Final Answer

The result of 82/10 multiplied by 185/4 is:

8210×1854=37914

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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