127/45 multiplied by 118/6 in Fraction Form

The result of 127/45 multiplied by 118/6 is: 55 68/135

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12745 and 1186.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 118 = 14986

Step 3: Multiply the Denominators

Multiply the denominators: 45 × 6 = 270

Step 4: Simplify the Fraction

We can simplify 14986270 to its lowest form.
The greatest common divisor (GCD) of 14986 and 270 is 2.
Dividing both numerator and denominator by the GCD, we get 7493135.

Step 5: Convert to Mixed Number

The fraction 7493135 can be written as the mixed number 5568135.

Final Answer

The result of 127/45 multiplied by 118/6 is:

12745×1186=5568135

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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