8/29 multiplied by 40/4 in Fraction Form

The result of 8/29 multiplied by 40/4 is: 2 22/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 829 and 404.

Step 2: Multiply the Numerators

Multiply the numerators: 8 × 40 = 320

Step 3: Multiply the Denominators

Multiply the denominators: 29 × 4 = 116

Step 4: Simplify the Fraction

We can simplify 320116 to its lowest form.
The greatest common divisor (GCD) of 320 and 116 is 4.
Dividing both numerator and denominator by the GCD, we get 8029.

Step 5: Convert to Mixed Number

The fraction 8029 can be written as the mixed number 22229.

Final Answer

The result of 8/29 multiplied by 40/4 is:

829×404=22229

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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