118/102 multiplied by 82/6 in Fraction Form

The result of 118/102 multiplied by 82/6 is: 15 124/153

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 118102 and 826.

Step 2: Multiply the Numerators

Multiply the numerators: 118 × 82 = 9676

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 6 = 612

Step 4: Simplify the Fraction

We can simplify 9676612 to its lowest form.
The greatest common divisor (GCD) of 9676 and 612 is 4.
Dividing both numerator and denominator by the GCD, we get 2419153.

Step 5: Convert to Mixed Number

The fraction 2419153 can be written as the mixed number 15124153.

Final Answer

The result of 118/102 multiplied by 82/6 is:

118102×826=15124153

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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