180/127 multiplied by 11/3 in Fraction Form

The result of 180/127 multiplied by 11/3 is: 5 25/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 180127 and 113.

Step 2: Multiply the Numerators

Multiply the numerators: 180 × 11 = 1980

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 3 = 381

Step 4: Simplify the Fraction

We can simplify 1980381 to its lowest form.
The greatest common divisor (GCD) of 1980 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 660127.

Step 5: Convert to Mixed Number

The fraction 660127 can be written as the mixed number 525127.

Final Answer

The result of 180/127 multiplied by 11/3 is:

180127×113=525127

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: