27/170 multiplied by 101/3 in Fraction Form

The result of 27/170 multiplied by 101/3 is: 5 59/170

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 27170 and 1013.

Step 2: Multiply the Numerators

Multiply the numerators: 27 × 101 = 2727

Step 3: Multiply the Denominators

Multiply the denominators: 170 × 3 = 510

Step 4: Simplify the Fraction

We can simplify 2727510 to its lowest form.
The greatest common divisor (GCD) of 2727 and 510 is 3.
Dividing both numerator and denominator by the GCD, we get 909170.

Step 5: Convert to Mixed Number

The fraction 909170 can be written as the mixed number 559170.

Final Answer

The result of 27/170 multiplied by 101/3 is:

27170×1013=559170

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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