First, you must find what fraction of the bag is filled with yellow marbles. We know that of the bag filled with red marbles and of the bag is filled with blue marbles. So, the fraction of the bag filled with yellow marbles must equal to

or

Next, you convert to a percentage, which is 25%.

Jamie ate of a pizza for lunch and of the same pizza for dinner. To convert a fraction to a percentage, you simply convert the fraction so that the denominator is 100. So, Jamie ate  of the pizza for lunch and  of the pizza for dinner. Since the denominator of these fractions is 100, the numerator is its percentage equivalent. Thus, Jamie ate 25% of the pizza for lunch and 20% for dinner for a total of 45% of the pizza. 55% of the pizza remains uneaten.

First, we can find out the proportion of coins that are nickels. So, we know there are 5 nickels and we can count there are 20 coins total

So there are  coins that are nickels. But the question asks for the percentage. To find the percentage, we can just find our answer as a decimal value rather than a fraction. Than multiply by 100%. So,

Thus our answer is 25%.

We can mathematically write '13 out of 20' as a fraction.

We can convert this to a percent by setting up a proportion.

Cross multiply and solve for .

So, the student got of the questions correct.

To find the percent, first, set up the fraction as a long division problem where the 1 is placed inside the dividend and 8 is placed in the divisor:

Here, the decimal and the zero are included in the division.

Ignoring the decimal in the dividend and treating 1.0 equal to 10, we know that 8 divides into 10 one time.  Therefore, place that one on the top as shown below

Multiply that one by the divisor (8) to get eight (1 x 8 = 8) and then place that eight below the dividend as shown below

Subtract 8 from 10, which will give you 2. That 2 is placed at the bottom

To perform the division further, put in an additional zero in the dividend and another zero right beside the 2

This time, we have a 20 at the bottom. 8 can go into 20 two times so we place the two at the top of the (right next to 1) as shown

Multiply that two by 8 to get sixteen and place that sixteen at the bottom

Perform the usual subtraction to get 4

Place another zero inside the dividend and another zero right beside 4

This time 8 goes into 40 just perfectly (no remainder)

The decimal of the fraction  is 0.125.  To convert this to a percentage, move the decimal point two places to the right and then put in the '%' symbol so that 0.125 is written as 12.5%

To find the percentage representation of a fraction, we first need to write the fraction as a decimal.  Writing 1/8 as a decimal we get 0.125.  Now that we have the decimal representation, we simply multiply by 100 to get the percentage (or by moving the decimal two places to the right).  Doing this, we get 12.5%.

Since  of the bag is filled with red marbles and another  of the bag is filled with yellow marbles, the remaining  of the bag must be filled with blue marbles.

The percentage equivalent of  is 25%.

First, find the fraction of the bag that is filled with blue marbles. This can be determined by subtracting the red and yellow marbles from 1: 

This gives you , which means that  of the bag is filled with blue marbles.

The percentage equivalent of  is 10%.

0.555 is equal to , which can be reduced to  by dividing the numerator and demoninator by 5.  Note that if this was 0.5 repeating (i.e. 0.55555555.......) that the fraction would be .  

Set up a proportion:

Cross-multiply:

Isolate by dividing by 8:

Finally, simplify:

The fraction is therefore equivalent to .