78/11 multiplied by 185/2 in Fraction Form

The result of 78/11 multiplied by 185/2 is: 655 10/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 7811 and 1852.

Step 2: Multiply the Numerators

Multiply the numerators: 78 × 185 = 14430

Step 3: Multiply the Denominators

Multiply the denominators: 11 × 2 = 22

Step 4: Simplify the Fraction

We can simplify 1443022 to its lowest form.
The greatest common divisor (GCD) of 14430 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 721511.

Step 5: Convert to Mixed Number

The fraction 721511 can be written as the mixed number 6551011.

Final Answer

The result of 78/11 multiplied by 185/2 is:

7811×1852=6551011

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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