Convert $\frac{15}{9}$ To A Decimal.A) 1.67 B) 1.66 C) 1.69 D) 1.64
Introduction
In mathematics, fractions and decimals are two ways to represent numbers. While fractions are often used to express proportions and ratios, decimals are used to represent numbers in a more familiar and intuitive way. In this article, we will focus on converting fractions to decimals, with a specific example of converting the fraction $\frac{15}{9}$ to a decimal.
What is a Fraction?
A fraction is a way of expressing a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction $\frac{3}{4}$ represents three parts out of four equal parts. Fractions can be used to express proportions, ratios, and percentages.
What is a Decimal?
A decimal is a way of expressing a number in a more familiar and intuitive way. It consists of a whole number part and a fractional part, separated by a decimal point. For example, the decimal 3.75 represents three whole numbers and seventy-five hundredths.
Converting Fractions to Decimals
To convert a fraction to a decimal, we need to divide the numerator by the denominator. This can be done using long division or a calculator. Let's use the example of converting the fraction $\frac{15}{9}$ to a decimal.
Step 1: Divide the Numerator by the Denominator
To convert the fraction $\frac{15}{9}$ to a decimal, we need to divide 15 by 9. We can do this using long division or a calculator.
Step 2: Perform the Division
Using long division, we can divide 15 by 9 as follows:
1.666...
9 | 15.000
-9.000
6.000
-5.400
0.600
As we can see, the result of dividing 15 by 9 is 1.666...
Step 3: Simplify the Result
The result of dividing 15 by 9 is 1.666... This can be simplified to 1.67.
Conclusion
In conclusion, converting fractions to decimals is a simple process that involves dividing the numerator by the denominator. Using the example of converting the fraction $\frac{15}{9}$ to a decimal, we have shown that the result is 1.67. This is an important skill to have in mathematics, as it allows us to work with numbers in a more familiar and intuitive way.
Answer
The correct answer is A) 1.67.
Discussion
This problem is a great example of how fractions and decimals are related. By converting the fraction $\frac{15}{9}$ to a decimal, we have shown that it is equal to 1.67. This is an important concept to understand in mathematics, as it allows us to work with numbers in a more familiar and intuitive way.
Related Problems
- Converting the fraction $\frac{3}{4}$ to a decimal
- Converting the fraction $\frac{2}{3}$ to a decimal
- Converting the fraction $\frac{5}{6}$ to a decimal
Practice Problems
- Convert the fraction $\frac{12}{8}$ to a decimal
- Convert the fraction $\frac{9}{12}$ to a decimal
- Convert the fraction $\frac{15}{20}$ to a decimal
Conclusion
Introduction
In our previous article, we discussed how to convert fractions to decimals. In this article, we will provide a Q&A guide to help you understand the concept better. We will answer some common questions related to converting fractions to decimals, and provide examples to illustrate the concepts.
Q: What is the difference between a fraction and a decimal?
A: A fraction is a way of expressing a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). A decimal, on the other hand, is a way of expressing a number in a more familiar and intuitive way. It consists of a whole number part and a fractional part, separated by a decimal point.
Q: How do I convert a fraction to a decimal?
A: To convert a fraction to a decimal, you need to divide the numerator by the denominator. This can be done using long division or a calculator.
Q: What is the formula for converting a fraction to a decimal?
A: The formula for converting a fraction to a decimal is:
Decimal = Numerator / Denominator
Q: Can I convert a fraction to a decimal using a calculator?
A: Yes, you can convert a fraction to a decimal using a calculator. Simply enter the fraction in the calculator, and it will display the decimal equivalent.
Q: How do I convert a mixed number to a decimal?
A: To convert a mixed number to a decimal, you need to convert the whole number part to a decimal, and then add the fractional part. For example, the mixed number 3 1/2 can be converted to a decimal as follows:
3 1/2 = 3 + 1/2 = 3 + 0.5 = 3.5
Q: Can I convert a decimal to a fraction?
A: Yes, you can convert a decimal to a fraction. To do this, you need to express the decimal as a fraction in its simplest form. For example, the decimal 0.5 can be converted to a fraction as follows:
0.5 = 1/2
Q: What are some common mistakes to avoid when converting fractions to decimals?
A: Some common mistakes to avoid when converting fractions to decimals include:
- Not simplifying the fraction before converting it to a decimal
- Not using the correct formula for converting a fraction to a decimal
- Not rounding the decimal to the correct number of places
- Not checking the answer for accuracy
Q: How do I check my answer for accuracy when converting a fraction to a decimal?
A: To check your answer for accuracy when converting a fraction to a decimal, you can use the following methods:
- Use a calculator to check the answer
- Convert the decimal back to a fraction to check for accuracy
- Use a reference table or chart to check the answer
Conclusion
In conclusion, converting fractions to decimals is a simple process that involves dividing the numerator by the denominator. By using the formula and examples provided in this article, you can convert fractions to decimals with ease. Remember to avoid common mistakes and check your answer for accuracy to ensure that you get the correct result.
Practice Problems
- Convert the fraction 3/4 to a decimal
- Convert the fraction 2/3 to a decimal
- Convert the fraction 5/6 to a decimal
- Convert the decimal 0.5 to a fraction
- Convert the decimal 0.25 to a fraction
Answer Key
- 3/4 = 0.75
- 2/3 = 0.67
- 5/6 = 0.83
- 0.5 = 1/2
- 0.25 = 1/4