66/118 multiplied by 127/4 in Fraction Form

The result of 66/118 multiplied by 127/4 is: 17 179/236

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 66118 and 1274.

Step 2: Multiply the Numerators

Multiply the numerators: 66 × 127 = 8382

Step 3: Multiply the Denominators

Multiply the denominators: 118 × 4 = 472

Step 4: Simplify the Fraction

We can simplify 8382472 to its lowest form.
The greatest common divisor (GCD) of 8382 and 472 is 2.
Dividing both numerator and denominator by the GCD, we get 4191236.

Step 5: Convert to Mixed Number

The fraction 4191236 can be written as the mixed number 17179236.

Final Answer

The result of 66/118 multiplied by 127/4 is:

66118×1274=17179236

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: