Converting the Mixed Fraction to a Decimal

Oct 13, 2025 by talynt.org 133 views

Understanding the Problem

To find $$13 \frac{3}{4} %$$ of $ $80$ $, we need to first convert the mixed fraction to a decimal. The mixed fraction $$13 \frac{3}{4}$$ can be converted to a decimal by dividing the numerator by the denominator and then adding the whole number part. In this case, $$\frac{3}{4} = 0.75$$, and when we add the whole number part, we get $$13 + 0.75 = 13.75$$.

Converting the Mixed Fraction to a Decimal

Now that we have the decimal equivalent of the mixed fraction, we can proceed to find $$13.75 %$$ of $ $80$ $. To do this, we need to convert the percentage to a decimal by dividing by 100. So, $$13.75 % = \frac{13.75}{100} = 0.1375$$.

Finding the Percentage of a Number

To find the percentage of a number, we can multiply the number by the decimal equivalent of the percentage. In this case, we need to multiply $ $80$ $ by 0.1375 to find $$13.75 %$$ of $ $80$ $.

Calculating the Result

Now, let's calculate the result by multiplying $ $80$ $ by 0.1375.

80 \times 0.1375 = 11

Conclusion

Therefore, $$13 \frac{3}{4} %$$ of $ $80$ $ is $ $11$ $. This means that if we have $ $80$ $ and we want to find $$13 \frac{3}{4} %$$ of it, the result would be $ $11$ $.

Understanding the Problem

Converting the Mixed Fraction to a Decimal

Finding the Percentage of a Number

To find the percentage of a number, we can multiply the number by the decimal equivalent of the percentage. In this case, we need to multiply $ $80$ $ by 0.1375 to find $$13.75 %$$ of $ $80$ $.

Calculating the Result

Now, let's calculate the result by multiplying $ $80$ $ by 0.1375.

80 \times 0.1375 = 11

Conclusion

Therefore, $$13 \frac{3}{4} %$$ of $ $80$ $ is $ $11$ $. This means that if we have $ $80$ $ and we want to find $$13 \frac{3}{4} %$$ of it, the result would be $ $11$ $.

Q&A

Q: What is the mixed fraction $$13 \frac{3}{4}$$ equivalent to in decimal form?

A: The mixed fraction $$13 \frac{3}{4}$$ is equivalent to $$13 + \frac{3}{4}$$, which is $$13 + 0.75 = 13.75$$.

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

A: To convert a percentage to a decimal, divide the percentage by 100. For example, $$13.75 % = \frac{13.75}{100} = 0.1375$$.

Q: What is the formula for finding the percentage of a number?

A: The formula for finding the percentage of a number is: (percentage / 100) * number. For example, to find $$13.75 %$$ of $ $80$ $, we multiply $ $80$ $ by 0.1375.

Q: How do I calculate the result of finding the percentage of a number?

A: To calculate the result, multiply the number by the decimal equivalent of the percentage. For example, to find $$13.75 %$$ of $ $80$ $, we multiply $ $80$ $ by 0.1375.

Q: What is the result of finding $$13 \frac{3}{4} %$$ of $ $80$ $?

A: The result of finding $$13 \frac{3}{4} %$$ of $ $80$ $ is $ $11$ $.

Q: Can I use this method to find any percentage of a number?

A: Yes, you can use this method to find any percentage of a number by converting the percentage to a decimal and then multiplying the number by the decimal equivalent.

Q: What if I have a different number and want to find a different percentage of it?

A: You can use the same method to find any percentage of any number by converting the percentage to a decimal and then multiplying the number by the decimal equivalent.

Conclusion

Finding percentages of numbers is a common task in mathematics and real-life applications. By understanding how to convert mixed fractions to decimals, convert percentages to decimals, and multiply numbers by decimal equivalents, you can easily find any percentage of any number.