118/53 multiplied by 127/6 in Fraction Form

The result of 118/53 multiplied by 127/6 is: 47 20/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 11853 and 1276.

Step 2: Multiply the Numerators

Multiply the numerators: 118 × 127 = 14986

Step 3: Multiply the Denominators

Multiply the denominators: 53 × 6 = 318

Step 4: Simplify the Fraction

We can simplify 14986318 to its lowest form.
The greatest common divisor (GCD) of 14986 and 318 is 2.
Dividing both numerator and denominator by the GCD, we get 7493159.

Step 5: Convert to Mixed Number

The fraction 7493159 can be written as the mixed number 4720159.

Final Answer

The result of 118/53 multiplied by 127/6 is:

11853×1276=4720159

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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