0.875 as a Fraction
Converting decimals to fractions is a fundamental concept in mathematics. In this article, we will explore how to convert the decimal 0.875 to a fraction.
What is 0.875 as a Fraction?
The decimal 0.875 can be written as a fraction in its simplest form as:
7/8
This means that the decimal 0.875 is equal to 7 divided by 8.
How to Convert 0.875 to a Fraction?
To convert a decimal to a fraction, we need to follow these steps:
- Write the decimal as a fraction with a denominator of 1: 0.875 = 0.875/1
- Multiply both the numerator and denominator by 10 for every decimal place: Since 0.875 has three decimal places, we multiply both the numerator and denominator by 10 three times:
0.875/1 = 875/1000
- Simplify the fraction: We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 875 and 1000 is 125. Therefore:
875 ÷ 125 = 7 1000 ÷ 125 = 8
So, the simplified fraction is:
7/8
Conclusion
In conclusion, the decimal 0.875 is equal to the fraction 7/8. By following the steps outlined above, we can convert any decimal to a fraction. This is a useful skill to have in mathematics, as it allows us to simplify complex decimal numbers and perform calculations more easily.
