What Is $4 \frac{9}{10}$ Expressed As A Decimal?Enter Your Answer In The Box: $\square$

Understanding Mixed Numbers

A mixed number is a combination of a whole number and a fraction. It is written in the form of $a \frac{b}{c}$, where $a$ is the whole number part, and $\frac{b}{c}$ is the fractional part. In this case, we have the mixed number $4 \frac{9}{10}$.

Converting Mixed Numbers to Decimals

To convert a mixed number to a decimal, we need to convert the fractional part to a decimal and then add the whole number part. To convert a fraction to a decimal, we divide the numerator by the denominator.

Converting the Fractional Part to a Decimal

In this case, the fractional part is $\frac{9}{10}$. To convert this fraction to a decimal, we divide the numerator (9) by the denominator (10).

$$\frac{9}{10} = 0.9$$

Adding the Whole Number Part

Now that we have the decimal equivalent of the fractional part, we can add the whole number part to get the final decimal equivalent of the mixed number.

$$4 \frac{9}{10} = 4 + 0.9 = 4.9$$

Conclusion

In conclusion, the mixed number $4 \frac{9}{10}$ expressed as a decimal is 4.9.

Key Takeaways

• 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 fractional part to a decimal and then add the whole number part.
• To convert a fraction to a decimal, we divide the numerator by the denominator.
• The decimal equivalent of the mixed number $4 \frac{9}{10}$ is 4.9.

Practice Problems

• Convert the mixed number $3 \frac{7}{8}$ to a decimal.
• Convert the mixed number $2 \frac{3}{4}$ to a decimal.

Answer Key

• $$3 \frac{7}{8} = 3.875$$

• 2 \frac{3}{4} = 2.75$<br/>

Q: What is a mixed number?

A: A mixed number is a combination of a whole number and a fraction. It is written in the form of $a \frac{b}{c}$, where $a$ is the whole number part, and $\frac{b}{c}$ is the fractional part.

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

Q: What is the formula for converting a mixed number to a decimal?

A: The formula for converting a mixed number to a decimal is:

$$a \frac{b}{c} = a + \frac{b}{c}$$

Where $a$ is the whole number part, and $\frac{b}{c}$ is the fractional part.

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

A: To convert a fraction to a decimal, you divide the numerator by the denominator. For example, to convert the fraction $\frac{3}{4}$ to a decimal, you would divide 3 by 4.

$$\frac{3}{4} = 0.75$$

Q: What is the decimal equivalent of the mixed number $5 \frac{2}{3}$?

A: To convert the mixed number $5 \frac{2}{3}$ to a decimal, we need to convert the fractional part to a decimal and then add the whole number part.

$$\frac{2}{3} = 0.67$$

$$5 \frac{2}{3} = 5 + 0.67 = 5.67$$

Q: Can I convert a mixed number to a decimal using a calculator?

A: Yes, you can convert a mixed number to a decimal using a calculator. Simply enter the mixed number into the calculator and it will give you the decimal equivalent.

Q: What are some common mistakes to avoid when converting mixed numbers to decimals?

A: Some common mistakes to avoid when converting mixed numbers to decimals include:

• Forgetting to convert the fractional part to a decimal
• Adding the whole number part and the fractional part incorrectly
• Not using the correct formula for converting a mixed number to a decimal

Q: How do I practice converting mixed numbers to decimals?

A: You can practice converting mixed numbers to decimals by using online resources, such as worksheets and practice problems. You can also try converting mixed numbers to decimals on your own using a calculator or by hand.

Q: What are some real-world applications of converting mixed numbers to decimals?

A: Converting mixed numbers to decimals has many real-world applications, including:

• Cooking and baking: When a recipe calls for a mixed number of ingredients, you need to convert it to a decimal to measure the ingredients accurately.
• Building and construction: When building a structure, you need to convert mixed numbers to decimals to measure the dimensions of the structure accurately.
• Science and engineering: When working with measurements and calculations, you need to convert mixed numbers to decimals to get accurate results.

Conclusion

Converting mixed numbers to decimals is an important skill that has many real-world applications. By understanding how to convert mixed numbers to decimals, you can improve your math skills and apply them to real-world situations.