Finding the Missing Decimal Value

Oct 13, 2025 by wbrum.org 130 views

Understanding the Table

The given table consists of three columns: Fraction, Decimal, and Percentage. Each row represents a different fraction, its decimal equivalent, and its percentage representation. However, some values are missing, and it's our task to fill them in.

Finding the Missing Decimal Value

To find the missing decimal value, we need to convert the fraction $\frac{3}{5}$ into a decimal. We can do this by dividing the numerator (3) by the denominator (5).

$\frac{3}{5} = 3 ÷ 5 = 0.6$

So, the missing decimal value is 0.6.

Finding the Missing Percentage Value

To find the missing percentage value, we need to convert the decimal 0.15 into a percentage. We can do this by multiplying the decimal by 100.

$0.15 × 100 = 15\%$

So, the missing percentage value is 15%.

Finding the Missing Fraction Value

To find the missing fraction value, we need to look at the decimal value 0.15. We can convert this decimal into a fraction by dividing the numerator (15) by the denominator (100).

$0.15 = 15 ÷ 100 = \frac{15}{100}$

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.

$\frac{15}{100} = \frac{3}{20}$

So, the missing fraction value is $\frac{3}{20}$ .

Finding the Missing Fraction Value (Second Row)

To find the missing fraction value in the second row, we need to look at the decimal value 0.6. We can convert this decimal into a fraction by dividing the numerator (60) by the denominator (100).

$0.6 = 60 ÷ 100 = \frac{60}{100}$

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20.

$\frac{60}{100} = \frac{3}{5}$

However, we already know that the fraction $\frac{3}{5}$ is in the first row. Therefore, the missing fraction value in the second row must be a different fraction.

Let's try to find a fraction that has the same decimal value as 0.6. We can do this by dividing the numerator by the denominator.

$\frac{12}{20} = 0.6$

So, the missing fraction value in the second row is $\frac{12}{20}$ .

Finding the Missing Fraction Value (Third Row)

To find the missing fraction value in the third row, we need to look at the decimal value 0.6. We can convert this decimal into a fraction by dividing the numerator (60) by the denominator (100).

$0.6 = 60 ÷ 100 = \frac{60}{100}$

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20.

$\frac{60}{100} = \frac{3}{5}$

However, we already know that the fraction $\frac{3}{5}$ is in the first row. Therefore, the missing fraction value in the third row must be a different fraction.

Let's try to find a fraction that has the same decimal value as 0.6. We can do this by dividing the numerator by the denominator.

$\frac{12}{20} = 0.6$

So, the missing fraction value in the third row is $\frac{12}{20}$ .

Finding the Missing Fraction Value (Fourth Row)

To find the missing fraction value in the fourth row, we need to look at the decimal value 0.15. We can convert this decimal into a fraction by dividing the numerator (15) by the denominator (100).

$0.15 = 15 ÷ 100 = \frac{15}{100}$

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.

$\frac{15}{100} = \frac{3}{20}$

So, the missing fraction value in the fourth row is $\frac{3}{20}$ .

Conclusion

In this problem, we were given a table with missing values and asked to fill them in. We found the missing decimal value by converting the fraction $\frac{3}{5}$ into a decimal. We found the missing percentage value by converting the decimal 0.15 into a percentage. We found the missing fraction values by converting the decimals into fractions.

The final answer is:

The missing decimal value is 0.6.
The missing percentage value is 15%.
The missing fraction value in the second row is $\frac{12}{20}$ .
The missing fraction value in the third row is $\frac{12}{20}$ .
The missing fraction value in the fourth row is $\frac{3}{20}$ .

Note: The answer sheet should have the following format:

0.6
15%
$\frac{12}{20}$
$\frac{12}{20}$
$\frac{3}{20}$

Q: What is the first step in finding missing values in a table?

A: The first step in finding missing values in a table is to identify the missing values and understand the relationships between the different columns.

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

A: To convert a fraction into a decimal, you can divide the numerator by the denominator. For example, to convert the fraction $\frac{3}{5}$ into a decimal, you can divide 3 by 5, which equals 0.6.

Q: How do I convert a decimal into a percentage?

A: To convert a decimal into a percentage, you can multiply the decimal by 100. For example, to convert the decimal 0.15 into a percentage, you can multiply 0.15 by 100, which equals 15%.

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

A: To convert a decimal into a fraction, you can divide the numerator by the denominator. For example, to convert the decimal 0.6 into a fraction, you can divide 60 by 100, which equals $\frac{60}{100}$ . You can then simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20.

Q: What is the greatest common divisor (GCD)?

A: The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder. For example, the GCD of 60 and 100 is 20.

Q: How do I simplify a fraction?

A: To simplify a fraction, you can divide both the numerator and the denominator by their greatest common divisor. For example, to simplify the fraction $\frac{60}{100}$ , you can divide both the numerator and the denominator by 20, which equals $\frac{3}{5}$ .

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, while a decimal is a way of expressing a part of a whole as a number with a decimal point.

Q: How do I find the missing fraction value in a table?

A: To find the missing fraction value in a table, you can look at the decimal value and convert it into a fraction. For example, if the decimal value is 0.6, you can convert it into a fraction by dividing 60 by 100, which equals $\frac{60}{100}$ . You can then simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20.

Q: What is the importance of finding missing values in a table?

A: Finding missing values in a table is important because it helps to complete the table and make it more accurate. It also helps to understand the relationships between the different columns and to make informed decisions.

Q: How do I use the table to make informed decisions?

A: To use the table to make informed decisions, you can analyze the data and look for patterns and trends. You can also use the table to compare different values and make informed decisions based on the data.

Q: What are some common mistakes to avoid when finding missing values in a table?

A: Some common mistakes to avoid when finding missing values in a table include:

Not identifying the missing values correctly
Not understanding the relationships between the different columns
Not converting fractions into decimals correctly
Not converting decimals into percentages correctly
Not simplifying fractions correctly

Q: How do I ensure that I am finding the correct missing values in a table?

A: To ensure that you are finding the correct missing values in a table, you can:

Double-check your calculations
Verify the relationships between the different columns
Use a calculator or computer program to check your answers
Ask for help from a teacher or tutor if you are unsure

Q: What are some real-world applications of finding missing values in a table?

A: Some real-world applications of finding missing values in a table include:

Finance: Finding missing values in a table can help to complete financial reports and make informed investment decisions.
Science: Finding missing values in a table can help to complete scientific data and make informed decisions about experiments and research.
Business: Finding missing values in a table can help to complete business reports and make informed decisions about marketing and sales.

Q: How do I use technology to find missing values in a table?

A: To use technology to find missing values in a table, you can:

Use a calculator or computer program to convert fractions into decimals and decimals into percentages
Use a spreadsheet program to analyze data and find missing values
Use a graphing calculator to visualize data and find missing values

Q: What are some tips for finding missing values in a table?

A: Some tips for finding missing values in a table include:

Take your time and double-check your calculations
Use a calculator or computer program to check your answers
Verify the relationships between the different columns
Ask for help from a teacher or tutor if you are unsure

Q: How do I practice finding missing values in a table?

A: To practice finding missing values in a table, you can:

Use online resources and practice problems
Work with a partner or tutor to practice finding missing values
Use real-world data and examples to practice finding missing values
Take practice quizzes and tests to assess your skills.