What Is $\frac{7}{8}$ Expressed As A Percent?Enter Your Answer As A Decimal In The Box. $\square$ \%

Understanding the Problem

In this article, we will explore the concept of converting fractions to percentages. We will use the given fraction $\frac{7}{8}$ as an example to demonstrate the steps involved in converting a fraction to a percentage.

What is a Percentage?

A percentage is a way of expressing a value as a fraction of 100. It is denoted by the symbol "%". For example, 25% is equal to $\frac{25}{100}$.

Converting a Fraction to a Percentage

To convert a fraction to a percentage, we need to divide the numerator by the denominator and multiply the result by 100.

Step 1: Divide the Numerator by the Denominator

The given fraction is $\frac{7}{8}$. To convert this fraction to a percentage, we need to divide the numerator (7) by the denominator (8).

$\frac{7}{8} = 7 \div 8 = 0.875$

Step 2: Multiply the Result by 100

Now that we have the decimal equivalent of the fraction, we need to multiply it by 100 to convert it to a percentage.

$0.875 \times 100 = 87.5\%$

Conclusion

In this article, we have learned how to convert a fraction to a percentage. We used the given fraction $\frac{7}{8}$ as an example to demonstrate the steps involved in converting a fraction to a percentage. By following these steps, we can easily convert any fraction to a percentage.

Real-World Applications

Converting fractions to percentages has many real-world applications. For example, in finance, interest rates are often expressed as percentages. In science, measurements are often expressed as percentages. In everyday life, we often encounter percentages in the form of discounts, sales tax, and interest rates.

Tips and Tricks

Here are some tips and tricks to help you convert fractions to percentages:

• Make sure to divide the numerator by the denominator before multiplying by 100.
• Use a calculator to simplify the calculation.
• Practice converting fractions to percentages to become more comfortable with the concept.

Common Mistakes to Avoid

Here are some common mistakes to avoid when converting fractions to percentages:

• Forgetting to divide the numerator by the denominator.
• Multiplying the numerator by the denominator instead of dividing.
• Not multiplying the result by 100.

Conclusion

In conclusion, converting fractions to percentages is a simple process that involves dividing the numerator by the denominator and multiplying the result by 100. By following these steps and practicing regularly, you can become more comfortable with the concept and apply it to real-world situations.

Final Answer

$$

Q: What is the formula for converting a fraction to a percentage?

A: The formula for converting a fraction to a percentage is:

$\frac{a}{b} = \frac{a}{b} \times 100\%$

Where a is the numerator and b is the denominator.

Q: How do I convert a fraction to a percentage if the denominator is not 100?

A: To convert a fraction to a percentage if the denominator is not 100, you need to divide the numerator by the denominator and then multiply the result by 100.

For example, to convert $\frac{3}{4}$ to a percentage, you would divide 3 by 4 and then multiply the result by 100.

$\frac{3}{4} = 3 \div 4 = 0.75 \times 100 = 75\%$

Q: Can I use a calculator to convert a fraction to a percentage?

A: Yes, you can use a calculator to convert a fraction to a percentage. Simply enter the fraction in the calculator and multiply it by 100.

For example, to convert $\frac{7}{8}$ to a percentage, you would enter 7/8 in the calculator and then multiply it by 100.

Q: How do I convert a mixed number to a percentage?

A: To convert a mixed number to a percentage, you need to convert the mixed number to an improper fraction first and then convert the improper fraction to a percentage.

For example, to convert 2 3/4 to a percentage, you would first convert it to an improper fraction:

$2 \frac{3}{4} = \frac{11}{4}$

Then, you would convert the improper fraction to a percentage:

$\frac{11}{4} = 11 \div 4 = 2.75 \times 100 = 275\%$

Q: Can I convert a decimal to a percentage?

A: Yes, you can convert a decimal to a percentage by multiplying it by 100.

For example, to convert 0.5 to a percentage, you would multiply it by 100:

$0.5 \times 100 = 50\%$

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

A: To convert a percentage to a fraction, you need to divide the percentage by 100 and then simplify the result.

For example, to convert 75% to a fraction, you would divide 75 by 100 and then simplify the result:

$75\% = \frac{75}{100} = \frac{3}{4}$

Q: Can I use a calculator to convert a percentage to a fraction?

A: Yes, you can use a calculator to convert a percentage to a fraction. Simply enter the percentage in the calculator and then divide it by 100.

For example, to convert 75% to a fraction, you would enter 75 in the calculator and then divide it by 100.

Conclusion

In conclusion, converting fractions to percentages is a simple process that involves dividing the numerator by the denominator and multiplying the result by 100. By following these steps and practicing regularly, you can become more comfortable with the concept and apply it to real-world situations.

Final Tips

Here are some final tips to help you convert fractions to percentages:

• Make sure to divide the numerator by the denominator before multiplying by 100.
• Use a calculator to simplify the calculation.
• Practice converting fractions to percentages to become more comfortable with the concept.

Common Mistakes to Avoid

Here are some common mistakes to avoid when converting fractions to percentages:

• Forgetting to divide the numerator by the denominator.
• Multiplying the numerator by the denominator instead of dividing.
• Not multiplying the result by 100.

Conclusion

In conclusion, converting fractions to percentages is a simple process that involves dividing the numerator by the denominator and multiplying the result by 100. By following these steps and practicing regularly, you can become more comfortable with the concept and apply it to real-world situations.