.875 as a Fraction
In mathematics, a fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). Sometimes, we need to convert decimals to fractions, like .875. So, what is .875 as a fraction?
Converting .875 to a Fraction
To convert .875 to a fraction, we need to find the equivalent fraction. A fraction is equivalent if it has the same value as the decimal. Let's do the conversion step by step:
Step 1: Divide by 10^3
.875 = 875/1000 (move the decimal point three places to the right)
Step 2: Simplify the Fraction
875/1000 = 7/8 (divide both numerator and denominator by their greatest common divisor, which is 125)
So, .875 as a fraction is 7/8.
Properties of the Fraction 7/8
Now that we have the fraction, let's explore some of its properties:
Equivalent Ratios
7/8 is equivalent to other fractions like 14/16, 21/24, and so on.
Decimal Equivalent
The decimal equivalent of 7/8 is, of course, .875.
Percentage Equivalent
The percentage equivalent of 7/8 is 87.5%.
Real-World Applications
Fractions like 7/8 are used in various real-world scenarios:
Measuring Length
Imagine measuring a piece of wood that is 7/8 of an inch long.
Cooking Recipes
A recipe might call for 7/8 of a cup of sugar.
Finance
You might invest 7/8 of your portfolio in stocks and 1/8 in bonds.
In conclusion, .875 as a fraction is 7/8, which is a simple and essential concept in mathematics. Understanding fractions helps us solve problems in various aspects of life.
