Write -0.9 as a fraction.
Answer (1)
Recognize that -0.9 represents negative nine-tenths.
Express -0.9 as a fraction: − 10 9 .
Verify that the fraction is in simplest form.
The final answer is − 10 9 .
Explanation
Understanding the Problem We are asked to express -0.9 as a fraction. This involves understanding decimal representation and converting it into a ratio of two integers.
Converting Decimal to Fraction The decimal -0.9 can be written as -9 tenths, which directly translates to the fraction − 10 9 .
Checking for Simplification Now, we check if the fraction − 10 9 can be simplified. The factors of 9 are 1, 3, and 9, while the factors of 10 are 1, 2, 5, and 10. The only common factor is 1, so the fraction is already in its simplest form.
Final Answer Therefore, -0.9 expressed as a fraction is − 10 9 .
Examples
In everyday life, you might encounter decimals when dealing with money or measurements. For instance, if you have -0.9 of a dollar, this means you owe 90 cents. Converting this to a fraction, − 10 9 of a dollar, helps in understanding proportions and ratios, which are fundamental in finance and cooking. Understanding how to convert decimals to fractions allows you to easily work with proportions and ratios in various real-world scenarios, from calculating discounts to adjusting recipe quantities.
