153/81 multiplied by 82/3 in Fraction Form

The result of 153/81 multiplied by 82/3 is: 51 17/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 15381 and 823.

Step 2: Multiply the Numerators

Multiply the numerators: 153 × 82 = 12546

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 3 = 243

Step 4: Simplify the Fraction

We can simplify 12546243 to its lowest form.
The greatest common divisor (GCD) of 12546 and 243 is 9.
Dividing both numerator and denominator by the GCD, we get 139427.

Step 5: Convert to Mixed Number

The fraction 139427 can be written as the mixed number 511727.

Final Answer

The result of 153/81 multiplied by 82/3 is:

15381×823=511727

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).

Fraction Calculator

Calculate operations between any two fractions: