The decimal 0.085 can be converted to a fraction in simplest form. To do this, we can divide the decimal by 1 and simplify the resulting fraction.
0.085 = 85/1000
To simplify this fraction, we can divide both the numerator and the denominator by 5.
85 ÷ 5 = 17 1000 ÷ 5 = 200
So, the simplified fraction is:
0.085 = 17/200
This is the simplest form of the fraction.
Understanding Decimals and Fractions
Decimals and fractions are two different ways to represent numbers. Decimals are a way to represent numbers using a point, while fractions represent numbers as a ratio of two integers.
In this article, we will explore the concept of decimals and fractions, and how to convert between them. We will also look at some examples and provide tips for working with decimals and fractions.
What are Decimals?
Decimals are a way to represent numbers using a point. The point is used to separate the whole part of the number from the fractional part. For example, the decimal 0.085 can be read as "85 hundredths".
Decimals are commonly used in everyday life, such as when measuring the cost of goods or services, or when calculating the area of a room.
How to Read Decimals
To read a decimal, start by reading the whole part of the number, then the point, and finally the fractional part. For example, the decimal 0.085 can be read as "zero point zero eight five".
What are Fractions?
Fractions are a way to represent numbers as a ratio of two integers. The top number is called the numerator, and the bottom number is called the denominator. For example, the fraction 17/200 can be read as "17 over 200".
Fractions are commonly used in mathematics and science, such as when calculating the area of a triangle or the volume of a cylinder.
How to Read Fractions
To read a fraction, start by reading the numerator, then the word "over", and finally the denominator. For example, the fraction 17/200 can be read as "17 over 200".
Converting Between Decimals and Fractions
Converting between decimals and fractions is a common task in mathematics. To convert a decimal to a fraction, divide the decimal by 1 and simplify the resulting fraction. To convert a fraction to a decimal, divide the numerator by the denominator.
Here are some examples:
- 0.085 = 85/1000 = 17/200
- 17/200 = 0.085
Tips for Working with Decimals and Fractions
Here are some tips for working with decimals and fractions:
- When converting between decimals and fractions, make sure to simplify the resulting fraction.
- When adding or subtracting fractions, make sure to have the same denominator.
- When multiplying or dividing fractions, make sure to follow the order of operations.
By following these tips and practicing with examples, you can become proficient in working with decimals and fractions.
What is the simplest form of the fraction 85/1000?
+The simplest form of the fraction 85/1000 is 17/200.
How do you convert a decimal to a fraction?
+To convert a decimal to a fraction, divide the decimal by 1 and simplify the resulting fraction.
What is the difference between a decimal and a fraction?
+A decimal is a way to represent numbers using a point, while a fraction is a way to represent numbers as a ratio of two integers.