How to find fractional percentages - Algebra

Card 0 of 99

Question

What is $\frac{2}{3}%$ of $\frac{2}{5}$ ?

Answer

Set up a proportion:

$\frac{\frac{2}{3}}{100} = \frac{N}{\frac{2}{5}}$

Cross-multiply and solve for :

$N \cdot 100 = \frac{2}{3} \cdot \frac{2}{5}$

$N \cdot 100 = \frac{4}{15}$

$N \cdot 100 \cdot \frac{1}{100} = \frac{4}{15} \cdot \frac{1}{100}$

$N = \frac{4}{1,500} = \frac{1}{375}$

Compare your answer with the correct one above

Question

Rewrite $21\tfrac{1}{3}%$ as a fraction in lowest terms.

Answer

$\small \small 21\tfrac{1}{3}$ % $\small = \small \small \frac{21\frac{1}{3}}{100} = 21\frac{1}{3} \div 100 = \frac{64}{3} \div \frac{100}{1} = \frac{64}{3} \cdot \frac{1}{100}$

Cross-cancel by dividing 64 and 100 by 4:

$\small \small \frac{64}{3} \cdot \frac{1}{100} = \frac{16}{3} \cdot \frac{1}{25} = \frac{16}{75}$ ,

which is the fraction we want.

Compare your answer with the correct one above

Question

What is $\frac{1}{7} %$ of ?

Answer

$\frac{1}{7} %$ of can be calculated as follows.

First, we need to convert $\frac{1}{7} %$ into a fraction that we can use in calculations. The percentage symbol tells us that the value is divided by .

$\frac{1}{7}% =\frac{\frac{1}{7}}{100}$

Now we can multiply our given value by this fraction to find our answer.

$\frac{\left (\frac{1}{7}) \right }{100}154,000=\frac{\left (\frac{1}{7})154,000 \right }{100}= \frac{22,000}{100}=220$

Compare your answer with the correct one above

Question

What is $\frac{1}{2}$ % of $\frac{1}{3}$ ?

Answer

Set up a proportion statement:

$\frac{\frac{1}{2}}{100} = \frac{N}{\frac{1}{3}}$

Cross-multiply and solve for :

$N \cdot 100 = \frac{1}{2} \cdot \frac{1}{3}$

$N \cdot 100 = \frac{1}{6}$

$N \cdot 100 \cdot \frac{1}{100} = \frac{1}{6} \cdot \frac{1}{100}$

$N = \frac{1}{600}$

Compare your answer with the correct one above

Question

$\frac{1}{5}$ is what percent of $1 \frac{2}{5}$ ?

Answer

Set up a proportion statement:

$\frac{P}{100} = \frac{\frac{1}{5}}{1 \frac{2}{5}}$

Simplify the right side and solve for :

$\frac{P}{100} = \frac{1}{5} \div 1 \frac{2}{5} = \frac{1}{5} \div \frac{7}{5} = \frac{1}{5} \cdot \frac{5}{7} = \frac{1}{7}$

$\frac{P}{100} \cdot 100 = \frac{1}{7}\cdot 100$

$P= \frac{100}{7} = 14 \frac{2}{7}$

Compare your answer with the correct one above

Question

What percent of 0.6 is 0.0003?

Answer

Let be the percent. Then

$P = \frac{ 0.0003}{0.6} \cdot100 = 0.05$

Compare your answer with the correct one above

Question

What is $\frac{1}{4}$ % of $\frac{1}{4}$ ?

Answer

Set up the proportion statement:

$\frac{N}{\frac{1}{4}} = \frac{\frac{1}{4}}{100}$

Cross-multply and solve for :

$100 N= {\frac{1}{4}} \cdot {\frac{1}{4}}$

$100 N= {\frac{1}{16}}$

$\frac{1}{100} \cdot 100 N=\frac{1}{100} \cdot {\frac{1}{16}}$

$N = \frac{1}{1,600}$

Compare your answer with the correct one above

Question

What is $1 \frac{1}{4}$ % of $1 \frac{1}{4}$ ?

Answer

Set up the proportion statement:

$\frac{N}{1\frac{1}{4}} = \frac{1\frac{1}{4}}{100}$

Cross-multply and solve for :

$100 N=1 {\frac{1}{4}} \cdot 1{\frac{1}{4}} = {\frac{5}{4}} \cdot {\frac{5}{4}}$

$100 N= {\frac{25}{16}}$

$\frac{1}{100} \cdot 100 N=\frac{1}{100} \cdot {\frac{25}{16}}$

$N =\frac{1}{100} \cdot {\frac{25}{16}}= \frac{1}{4} \cdot {\frac{1}{16}}= \frac{1}{64}$

Compare your answer with the correct one above

Question

What is $\small \small \frac{3}{5}%$ of ?

Answer

There are a few ways we can approach this problem. We know that $\small \frac{3}{5}%$ is $\small \frac{\frac{3}{5}}{100 }$ , or $\small \frac{3}{5}\frac{1}{100}$ .

We also know that for percentages, "of" means multiply, so we can set up a multiplication problem:

$\small \small \frac{3}{5}\frac{1}{100}*450$

Simplifying gives

$\small \small \frac{1350}{500}=2.7$ .

Compare your answer with the correct one above

Question

What is $\frac{1}{2}%$ of ?

Answer

Remember that the word "of" means multiply. One way to solve this is to first divide the percentage by 100.

$\frac{\frac{1}{2}}{100}$

This is the division of two fractions and can be done by multiplying the first fraction by the reciprocal of the second fraction. Remember to treat as the fraction $\frac{100}{1}$

The multiplication should look like this

$\frac{1}{2}\cdot \frac{1}{100}$

Now multiply across the numerator and denominator

$\frac{1}{200}$

Now that the fractional percentage has been converted to a regular fraction we can multiply this by the to get the answer

$\frac{1}{200}\cdot \frac{300000}{1}$

$\frac{300000}{200}$

Compare your answer with the correct one above

Question

Find $\frac{6}{7}%$ of . Round to one decimal place.

Answer

It is important to remember that "of" means multiply. Before multiplying, the fractional percentage needs to be converted to a fraction.

Convert $\frac{6}{7}%$ to a fraction by dividing it by 100.

$\frac{\frac{6}{}7}{100}$

The number is the same as the fraction $\frac{100}{1}$

Since this is the division of two fractions, work it out by multiplying $\frac{6}{7}$ by the reciprocal of $\frac{100}{1}$

$\frac{6}{7}\cdot \frac{1}{100}$

Multiply across the numerator and denominator

$\frac{6}{700}$

Multiply this fraction by or $\frac{700}{1}$ to get the answer

$\frac{6}{700}\cdot \frac{700}{1}$

$\frac{4200}{700}$

Compare your answer with the correct one above

Question

What is $\frac{2}{3}%$ of $\frac{2}{5}$ ?

Answer

Set up a proportion:

$\frac{\frac{2}{3}}{100} = \frac{N}{\frac{2}{5}}$

Cross-multiply and solve for :

$N \cdot 100 = \frac{2}{3} \cdot \frac{2}{5}$

$N \cdot 100 = \frac{4}{15}$

$N \cdot 100 \cdot \frac{1}{100} = \frac{4}{15} \cdot \frac{1}{100}$

$N = \frac{4}{1,500} = \frac{1}{375}$

Compare your answer with the correct one above

Question

Rewrite $21\tfrac{1}{3}%$ as a fraction in lowest terms.

Answer

$\small \small 21\tfrac{1}{3}$ % $\small = \small \small \frac{21\frac{1}{3}}{100} = 21\frac{1}{3} \div 100 = \frac{64}{3} \div \frac{100}{1} = \frac{64}{3} \cdot \frac{1}{100}$

Cross-cancel by dividing 64 and 100 by 4:

$\small \small \frac{64}{3} \cdot \frac{1}{100} = \frac{16}{3} \cdot \frac{1}{25} = \frac{16}{75}$ ,

which is the fraction we want.

Compare your answer with the correct one above

Question

What is $\frac{1}{7} %$ of ?

Answer

$\frac{1}{7} %$ of can be calculated as follows.

First, we need to convert $\frac{1}{7} %$ into a fraction that we can use in calculations. The percentage symbol tells us that the value is divided by .

$\frac{1}{7}% =\frac{\frac{1}{7}}{100}$

Now we can multiply our given value by this fraction to find our answer.

$\frac{\left (\frac{1}{7}) \right }{100}154,000=\frac{\left (\frac{1}{7})154,000 \right }{100}= \frac{22,000}{100}=220$

Compare your answer with the correct one above

Question

What is $\frac{1}{2}$ % of $\frac{1}{3}$ ?

Answer

Set up a proportion statement:

$\frac{\frac{1}{2}}{100} = \frac{N}{\frac{1}{3}}$

Cross-multiply and solve for :

$N \cdot 100 = \frac{1}{2} \cdot \frac{1}{3}$

$N \cdot 100 = \frac{1}{6}$

$N \cdot 100 \cdot \frac{1}{100} = \frac{1}{6} \cdot \frac{1}{100}$

$N = \frac{1}{600}$

Compare your answer with the correct one above

Question

$\frac{1}{5}$ is what percent of $1 \frac{2}{5}$ ?

Answer

Set up a proportion statement:

$\frac{P}{100} = \frac{\frac{1}{5}}{1 \frac{2}{5}}$

Simplify the right side and solve for :

$\frac{P}{100} = \frac{1}{5} \div 1 \frac{2}{5} = \frac{1}{5} \div \frac{7}{5} = \frac{1}{5} \cdot \frac{5}{7} = \frac{1}{7}$

$\frac{P}{100} \cdot 100 = \frac{1}{7}\cdot 100$

$P= \frac{100}{7} = 14 \frac{2}{7}$

Compare your answer with the correct one above

Question

What percent of 0.6 is 0.0003?

Answer

Let be the percent. Then

$P = \frac{ 0.0003}{0.6} \cdot100 = 0.05$

Compare your answer with the correct one above

Question

What is $\frac{1}{4}$ % of $\frac{1}{4}$ ?

Answer

Set up the proportion statement:

$\frac{N}{\frac{1}{4}} = \frac{\frac{1}{4}}{100}$

Cross-multply and solve for :

$100 N= {\frac{1}{4}} \cdot {\frac{1}{4}}$

$100 N= {\frac{1}{16}}$

$\frac{1}{100} \cdot 100 N=\frac{1}{100} \cdot {\frac{1}{16}}$

$N = \frac{1}{1,600}$

Compare your answer with the correct one above

Question

What is $1 \frac{1}{4}$ % of $1 \frac{1}{4}$ ?

Answer

Set up the proportion statement:

$\frac{N}{1\frac{1}{4}} = \frac{1\frac{1}{4}}{100}$

Cross-multply and solve for :

$100 N=1 {\frac{1}{4}} \cdot 1{\frac{1}{4}} = {\frac{5}{4}} \cdot {\frac{5}{4}}$

$100 N= {\frac{25}{16}}$

$\frac{1}{100} \cdot 100 N=\frac{1}{100} \cdot {\frac{25}{16}}$

$N =\frac{1}{100} \cdot {\frac{25}{16}}= \frac{1}{4} \cdot {\frac{1}{16}}= \frac{1}{64}$

Compare your answer with the correct one above

Question

What is $\small \small \frac{3}{5}%$ of ?

Answer

There are a few ways we can approach this problem. We know that $\small \frac{3}{5}%$ is $\small \frac{\frac{3}{5}}{100 }$ , or $\small \frac{3}{5}\frac{1}{100}$ .

We also know that for percentages, "of" means multiply, so we can set up a multiplication problem:

$\small \small \frac{3}{5}\frac{1}{100}*450$

Simplifying gives

$\small \small \frac{1350}{500}=2.7$ .

Compare your answer with the correct one above

Tap the card to reveal the answer