118/168 multiplied by 26/4 in Fraction Form

The result of 118/168 multiplied by 26/4 is: 4 95/168

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 118168 and 264.

Step 2: Multiply the Numerators

Multiply the numerators: 118 × 26 = 3068

Step 3: Multiply the Denominators

Multiply the denominators: 168 × 4 = 672

Step 4: Simplify the Fraction

We can simplify 3068672 to its lowest form.
The greatest common divisor (GCD) of 3068 and 672 is 4.
Dividing both numerator and denominator by the GCD, we get 767168.

Step 5: Convert to Mixed Number

The fraction 767168 can be written as the mixed number 495168.

Final Answer

The result of 118/168 multiplied by 26/4 is:

118168×264=495168

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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