Write The Fraction Or Mixed Number As A Decimal.5. 106. $3 \frac{1}{10}$7. $\frac{7}{10}$

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Introduction

In mathematics, decimals and fractions are two ways to represent the same value. Decimals are used to represent numbers in the form of a dot (.) followed by one or more digits, while fractions are used to represent numbers in the form of a numerator (top number) divided by a denominator (bottom number). In this article, we will learn how to convert fractions and mixed numbers to decimals.

Converting Fractions to Decimals

To convert a fraction to a decimal, we need to divide the numerator by the denominator. Let's take the fraction 7/10 as an example.

Example 1: Converting 7/10 to a Decimal

To convert the fraction 7/10 to a decimal, we need to divide 7 by 10.

7 ÷ 10 = 0.7

So, the decimal equivalent of the fraction 7/10 is 0.7.

Example 2: Converting 3/4 to a Decimal

To convert the fraction 3/4 to a decimal, we need to divide 3 by 4.

3 ÷ 4 = 0.75

So, the decimal equivalent of the fraction 3/4 is 0.75.

Example 3: Converting 2/5 to a Decimal

To convert the fraction 2/5 to a decimal, we need to divide 2 by 5.

2 ÷ 5 = 0.4

So, the decimal equivalent of the fraction 2/5 is 0.4.

Converting Mixed Numbers to Decimals

A mixed number is a combination of a whole number and a fraction. To convert a mixed number to a decimal, we need to convert the fraction part to a decimal and then add the whole number part.

Example 1: Converting 3 1/10 to a Decimal

To convert the mixed number 3 1/10 to a decimal, we need to convert the fraction part 1/10 to a decimal.

1 ÷ 10 = 0.1

Now, we add the whole number part 3 to the decimal part 0.1.

3 + 0.1 = 3.1

So, the decimal equivalent of the mixed number 3 1/10 is 3.1.

Example 2: Converting 2 3/4 to a Decimal

To convert the mixed number 2 3/4 to a decimal, we need to convert the fraction part 3/4 to a decimal.

3 ÷ 4 = 0.75

Now, we add the whole number part 2 to the decimal part 0.75.

2 + 0.75 = 2.75

So, the decimal equivalent of the mixed number 2 3/4 is 2.75.

Example 3: Converting 5 2/5 to a Decimal

To convert the mixed number 5 2/5 to a decimal, we need to convert the fraction part 2/5 to a decimal.

2 ÷ 5 = 0.4

Now, we add the whole number part 5 to the decimal part 0.4.

5 + 0.4 = 5.4

So, the decimal equivalent of the mixed number 5 2/5 is 5.4.

Conclusion

In this article, we learned how to convert fractions and mixed numbers to decimals. We used examples to illustrate the process of converting fractions to decimals and mixed numbers to decimals. We also used Python code to demonstrate the division process. By following these steps, you can easily convert fractions and mixed numbers to decimals.

Practice Problems

  1. Convert the fraction 9/10 to a decimal.
  2. Convert the mixed number 4 1/2 to a decimal.
  3. Convert the fraction 3/8 to a decimal.
  4. Convert the mixed number 1 3/4 to a decimal.
  5. Convert the fraction 2/3 to a decimal.

Answers

  1. 0.9
  2. 4.5
  3. 0.375
  4. 1.75
  5. 0.6667

References

Q: What is the difference between a fraction and a decimal?

A: A fraction is a way of representing a number as a ratio of two integers, while a decimal is a way of representing a number as a point followed by one or more digits.

Q: How do I convert a fraction to a decimal?

A: To convert a fraction to a decimal, you need to divide the numerator (the top number) by the denominator (the bottom number). For example, to convert the fraction 3/4 to a decimal, you would divide 3 by 4, which equals 0.75.

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 fraction part to a decimal and then add the whole number part. For example, to convert the mixed number 2 3/4 to a decimal, you would convert the fraction part 3/4 to a decimal (0.75) and then add the whole number part 2, which equals 2.75.

Q: What is the decimal equivalent of the fraction 1/2?

A: The decimal equivalent of the fraction 1/2 is 0.5.

Q: What is the decimal equivalent of the mixed number 3 1/4?

A: The decimal equivalent of the mixed number 3 1/4 is 3.25.

Q: How do I convert a decimal to a fraction?

A: To convert a decimal to a fraction, you need to express the decimal as a ratio of two integers. For example, to convert the decimal 0.5 to a fraction, you would express it as 1/2.

Q: What is the decimal equivalent of the fraction 2/3?

A: The decimal equivalent of the fraction 2/3 is 0.6667.

Q: What is the decimal equivalent of the mixed number 4 2/5?

A: The decimal equivalent of the mixed number 4 2/5 is 4.4.

Q: Can I use a calculator to convert fractions and mixed numbers to decimals?

A: Yes, you can use a calculator to convert fractions and mixed numbers to decimals. Simply enter the fraction or mixed number into the calculator and it will display the decimal equivalent.

Q: Are there any shortcuts for converting fractions and mixed numbers to decimals?

A: Yes, there are shortcuts for converting fractions and mixed numbers to decimals. For example, you can use the following shortcuts:

  • To convert a fraction to a decimal, you can simply divide the numerator by the denominator.
  • To convert a mixed number to a decimal, you can convert the fraction part to a decimal and then add the whole number part.

Q: Can I use a formula to convert fractions and mixed numbers to decimals?

A: Yes, you can use a formula to convert fractions and mixed numbers to decimals. The formula is:

Decimal = (Numerator ÷ Denominator) + (Whole Number)

Where Decimal is the decimal equivalent, Numerator is the top number, Denominator is the bottom number, and Whole Number is the whole number part.

Q: Are there any online tools or resources that can help me convert fractions and mixed numbers to decimals?

A: Yes, there are many online tools and resources that can help you convert fractions and mixed numbers to decimals. Some popular options include:

  • Online calculators
  • Math websites and forums
  • Educational software and apps

Q: Can I convert fractions and mixed numbers to decimals manually?

A: Yes, you can convert fractions and mixed numbers to decimals manually by using the steps outlined above. This can be a useful skill to have, especially in situations where you don't have access to a calculator or other technology.