# ISEE Lower Level Quantitative : How to find the decimal equivalent of a fraction

## Example Questions

### Example Question #21 : How To Find The Decimal Equivalent Of A Fraction

How can  be written as a decimal?

Explanation:

Given that  equals  equals , and  equals , it follows that  equals .

### Example Question #22 : How To Find The Decimal Equivalent Of A Fraction

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. To do this we will need to add a decimal and a zero to make:

From here we can think about how many times can four go into ten. Four goes into ten two times. This is the number we get for the first place after the decimal.

Now we multiply four and two to get eight. We will subtract eight from ten to get two. Our new division is as follows.

Now we need to add another zero to make the  and from here we see how many times four goes in to twenty. Four goes in to twenty five times.

Therefore we get:

### Example Question #21 : Fractions

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. In this case we need to add a decimal point and a zero after the decimal to make the division easier.

From here we can think about how many time five goes in to twenty. Five times four gives us twenty thus we get,

.

### Example Question #22 : Fractions

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. First add a decimal place and zero to three.

From here we ask how many times ten goes in to thirty. Ten times three gives us thirty. If we subtract thirty from thirty we get zero.

Therefore,

.

### Example Question #23 : Fractions

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. First we will need to add a decimal place and two zeros to one.

From here we can see that twenty times five will give us one hundred.

Therefore,

.

### Example Question #23 : How To Find The Decimal Equivalent Of A Fraction

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator.

From here add a decimal and two zeros to get a simplier division.

Now we see that one times one hundred will give us one hundred.

Therefore,

### Example Question #27 : Fractions

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. First, we will add a decimal place and a zero to nine.

Now we can think of the . Twenty goes into  ninety four times. Four times twenty gives us eighty. Now we will subtract eighty from ninety to get ten. Our new division will become,

Again we will add a zero to the ten to get one hundred. Twenty times five gives us one hundrend.

Therefore,

### Example Question #28 : Fractions

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator.

When we divide we will add a decimal and a zero after the decimal to make the problem a little easier.

From here, we can think of the  as . We will need to remember to put our answer for division after the decimal place to ensure a true answer. Looking at our new problem we can see that eight goes in to ten one time. Therefore, the first place after the decimal in our answer will be one. Now we will multiply one by eight to get eight. Next we subtract eight from ten to get two. Our next division will be:

Again we will need to add a zero after the two to make our two in to twenty. From here we want to see how many times eight goes in to twenty. Eight goes in to twenty two times which gives you sixteen. Now we will subtract sixteen from twenty to get four. Again adding a zero we get our new division.

Looking at this problem, we can see that eight goes in to fourty five times.

Therefore,

### Example Question #612 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. To do this add a decimal and zero to one.

From here we can try to find how many times three can go into ten. Three times three gives us nine. We will now subtract nine from ten to get one. Our new division is as follows.

Adding another zero after the one and repeating the same steps as before, we will see that three is repeated forever.

Therefore,

The answer is  since you should round down to the hundredths place.

### Example Question #22 : Fractions

What decimal matches the value of the fraction?

Explanation:

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. Add a decimal and a zero after the five to get an easier division problem.

From here, we want to know how many times nine goes into fifty. Nine times five gives us fourty-five. We wil take this number and subtract it from fifty to get our new division problem.

Again we will add a zero after the five and repeat the steps above.

Therefore,

The answer is  since you should round up to the hundredths place.