Write 4.91 As A Fraction Or Mixed Number.A. $4 \frac{91}{100}$B. $4 \frac{9}{10}$C. $9 \frac{4}{100}$D. $91 \frac{4}{100}$
Introduction
In mathematics, decimals can be converted into fractions or mixed numbers, which is an essential skill for solving various mathematical problems. A mixed number is a combination of a whole number and a fraction, while a fraction is a part of a whole. In this article, we will learn how to write the decimal 4.91 as a fraction or mixed number.
Understanding Decimals
A decimal is a number that has a fractional part represented by a point (.) followed by digits. For example, 4.91 is a decimal number that can be written as 4 and 91 hundredths. To convert a decimal into a fraction or mixed number, we need to understand the concept of place value.
Converting Decimals to Fractions
To convert a decimal into a fraction, we need to identify the place value of the digits after the decimal point. In the case of 4.91, the digits 9 and 1 are in the hundredths place. We can write 4.91 as 491 hundredths.
Step 1: Identify the Place Value
The digits 9 and 1 are in the hundredths place, which means they represent 1/100 of the whole number.
Step 2: Write the Decimal as a Fraction
We can write 4.91 as 491/100.
Step 3: Simplify the Fraction (Optional)
In this case, the fraction 491/100 cannot be simplified further.
Converting Decimals to Mixed Numbers
To convert a decimal into a mixed number, we need to separate the whole number part from the fractional part. In the case of 4.91, the whole number part is 4 and the fractional part is 91/100.
Step 1: Separate the Whole Number Part
The whole number part is 4.
Step 2: Separate the Fractional Part
The fractional part is 91/100.
Step 3: Write the Mixed Number
We can write 4.91 as 4 and 91/100.
Comparing the Options
Now that we have converted 4.91 into a fraction and mixed number, let's compare the options:
A.
B.
C.
D.
Conclusion
Based on our conversion, we can see that option A is the correct answer. The decimal 4.91 can be written as a fraction or mixed number as .
Final Answer
Introduction
In our previous article, we learned how to write the decimal 4.91 as a fraction or mixed number. In this article, we will answer some frequently asked questions related to writing decimals as fractions or mixed numbers.
Q: What is the difference between a fraction and a mixed number?
A: A fraction is a part of a whole, represented by a numerator and a denominator. For example, 1/2 is a fraction. A mixed number is a combination of a whole number and a fraction. For example, 2 1/2 is a mixed number.
Q: How do I convert a decimal to a fraction?
A: To convert a decimal to a fraction, you need to identify the place value of the digits after the decimal point. For example, if you have the decimal 4.91, you can write it as 491 hundredths, which is equal to 491/100.
Q: Can I simplify a fraction?
A: Yes, you can simplify a fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). For example, the fraction 12/16 can be simplified by dividing both numbers by 4, resulting in 3/4.
Q: How do I convert a decimal to a mixed number?
A: To convert a decimal to a mixed number, you need to separate the whole number part from the fractional part. For example, if you have the decimal 4.91, you can write it as 4 and 91/100.
Q: What is the difference between a decimal and a fraction?
A: A decimal is a number that has a fractional part represented by a point (.) followed by digits. A fraction is a part of a whole, represented by a numerator and a denominator.
Q: Can I convert a fraction to a decimal?
A: Yes, you can convert a fraction to a decimal by dividing the numerator by the denominator. For example, the fraction 1/2 can be converted to a decimal by dividing 1 by 2, resulting in 0.5.
Q: How do I convert a decimal to a percentage?
A: To convert a decimal to a percentage, you need to multiply the decimal by 100. For example, the decimal 0.5 can be converted to a percentage by multiplying it by 100, resulting in 50%.
Q: What is the importance of writing decimals as fractions or mixed numbers?
A: Writing decimals as fractions or mixed numbers is an essential skill in mathematics, as it allows you to perform various mathematical operations, such as addition, subtraction, multiplication, and division.
Conclusion
In this article, we answered some frequently asked questions related to writing decimals as fractions or mixed numbers. We hope that this article has provided you with a better understanding of this concept and has helped you to improve your mathematical skills.
Final Answer
The final answer is that writing decimals as fractions or mixed numbers is an essential skill in mathematics, and it requires a good understanding of fractions, decimals, and percentages.