What is 1/8 of 10?
What is 1 / 8 of 10 and how to calculate it yourself
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1 / 8 of 10 = 1.25
1 / 8 of 10 is 1.25. In this article, we will go through how to calculate 1 / 8 of 10 and how to calculate any fraction of any whole number (integer). This article will show a general formula for solving this equation for positive numbers, but the same rules can be applied for numbers less than zero too!
Let's dive into how to solve!
Please see our introduction to fractions if you need a refresher on these concepts!
Here's how we will calculate 1 / 8 of 10:
1: First step in solving 1 / 8 of 10 is understanding your fraction
1 / 8 has two important parts: the numerator (1) and the denominator (8). The numerator is the number above the division line (called the vinculum) which represent the number of parts being taken from the whole. For example: If there were 14 cars total and 1 painted red, 1 would be the numerator or parts of the total. In this case of 1 / 8, 1 is our numerator. The denominator (8) is located below the vinculum and represents the total number. In the example above 14 would be the denominator of cars. For our fraction: 1 is the numerator and 8 is the denoimator.
2: Write out your equation of 1 / 8 times 10
When solving for 1 / 8 of a number, students should write the equation as the whole number (10) times 1 / 8. The solution to our problem will always be smaller than 10 because we are going to end up with a fraction of 10.
$$ \frac{ 1 }{ 8 } \times 10 $$
3. Convert your whole number (10) into a fraction (10/1)
To convert any whole number into a fraction, add a 1 into the denominator. Now place 1 / 8 next to the new fraction. This gives us the equation below.
Tip: Always write out your fractions 10 / 1 and 1 / 8. It might seem boring or taxing, but dividing fractions can be confusing. Writing out the conversion simplifies our work.
$$ \frac{ 1 }{ 8 } \times \frac{ 10 }{1} $$
4. Multiply your fractions together
Once we set our equations 1 / 8 and 10 / 1, we now need to multiple your values starting with the numerators. In this case, we will be multiplying 1 (the numerator of 1 / 8) and 10 (the numerator of our new fraction 10/1). If you need a refresher on multiplying fractions, please see our guide here!
$$ \frac{ 1 }{ 8 } \times \frac{ 10 }{1} = \frac{ 10 }{ 8 } $$
Our new numerator is 10.
Then we need to do the same for our denominators. In this equation, we multiply 8 (denominator of 1 / 8) and 1 (the denominator of our new fraction 10 / 1).
Our new denominator is 8.
5. Divide our new fraction (10 / 8)
After solving for our new equation off 10 / 8, our last job is to simplify this problem using long division. For longer fractions, we recommend to all of our students to write this last part down and use left to right long division.
$$ \frac{ 10 }{ 8 } = 1.25 $$
And so there you have it! Our solution is 1.25.
Quick recap:
Turn 10 into a fraction: 10 / 1
Multiply 10 / 1 by our fraction, 1 / 8
Multiply the numerators and the denominators together
We get 10 / 8 from that
Perform a standard division: 10 divided by 8 = 1.25
Additional way of calculating 1 / 8 of 10
You can also write our fraction, 1 / 8, as a decimal by simply dividing 1 by 8 which is 0.12. If you multiply 0.12 with 10 you will see that you will end up with the same answer as above. You may also find it useful to know that if you multiply 0.12 with 100 you get 12.0. Which means that our answer of 1.25 is 12.0 percent of 10.
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