Calculator Time: Solving 4 1/8 x 100
Are you stuck on a math problem that involves mixed numbers and multiplication? Don't worry, we've got you covered! Today, we're going to solve the problem 4 1/8 x 100 and break it down step by step.
Understanding Mixed Numbers
Before we dive into the problem, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. In our case, the mixed number is 4 1/8.
Converting the Mixed Number to an Improper Fraction
To multiply a mixed number, we need to convert it to an improper fraction. An improper fraction is a fraction where the numerator is greater than or equal to the denominator. To convert 4 1/8, we'll follow these steps:
- Multiply the whole number part (4) by the denominator (8): 4 x 8 = 32
- Add the numerator (1) to the product: 32 + 1 = 33
- Write the result as an improper fraction: 33/8
So, 4 1/8 is equal to 33/8.
Multiplying by 100
Now that we have our improper fraction, we can multiply it by 100:
33/8 x 100 = ?
To multiply a fraction by a whole number, we can multiply the numerator (33) by the whole number (100):
33 x 100 = 3300
Then, we'll divide the product by the denominator (8):
3300 ÷ 8 = 412.5
The Final Answer
Therefore, 4 1/8 x 100 is equal to 412.5.
