117/102 multiplied by 118/4 in Fraction Form

The result of 117/102 multiplied by 118/4 is: 33 57/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 117102 and 1184.

Step 2: Multiply the Numerators

Multiply the numerators: 117 × 118 = 13806

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 4 = 408

Step 4: Simplify the Fraction

We can simplify 13806408 to its lowest form.
The greatest common divisor (GCD) of 13806 and 408 is 6.
Dividing both numerator and denominator by the GCD, we get 230168.

Step 5: Convert to Mixed Number

The fraction 230168 can be written as the mixed number 335768.

Final Answer

The result of 117/102 multiplied by 118/4 is:

117102×1184=335768

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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