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

## Example Questions

### Example Question #11 : How To Find The Decimal Equivalent Of A Fraction

The triangle below is divided into eight identical smaller triangles.

What fraction of the larger triangle is shaded, if the figure is drawn to scale?

Explanation:

Remember that fractions are:

So, the triangle has a total of 8 parts, and 3 are shaded in. Therefore the fraction of the area that is shaded is .

### Example Question #12 : Fractions

What fraction is equivalent to ?

Explanation:

The first place value after the decimal is the tenths place, so  is six-tenths, or .

### Example Question #411 : Isee Lower Level (Grades 5 6) Mathematics Achievement

In a survey, 8 out of the 32 people interviewed stated that they prefered vanilla over chocolate. What percentage of people preferred chocolate over vanilla?

60%

70%

30%

25%

75%

75%

Explanation:

The question asks for the percentage of people who chose chocolate over vanilla. If 8 people out of 32 preferred vanilla over chocolate, then  people preferred chocolate over vanilla.

### Example Question #11 : How To Find The Decimal Equivalent Of A Fraction

What is 35% of 300?

9000

90

120

105

10500

105

Explanation:

35% can be written as .

### Example Question #412 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the decimal equivalent to the fraction. Round to the nearest hundredths place, if necessary.

0.291

0.029

0.29

29.11

0.29

Explanation:

When converting a fraction to a decimal, divide the denominator by the numerator. Divide 23 by 79. The quotient is 0.291129...  The question asked you to round to the nearest hundredths place, so the correct choice is: 0.29.

### Example Question #16 : Fractions

Place the following expressions in order, from lowest to highest: ,

,

,

,

,

,

Explanation:

You don't have to figure out the exact decimal values of the fractions in order to solve this problem. Written as a mixed number, .

You can see that is the lowest number, because  is less than , and and are greater than .

Next comes , because a larger denominator means a smaller number (if, of course, the numerator is the same).

Then comes , and finally , which in decimal form (remember: "percent" = "per hundred") equals , which is clearly greater than .

### Example Question #13 : How To Find The Decimal Equivalent Of A Fraction

Which fraction is between and ?

Explanation:

Since 3 is greater than half of 5, we know that is greater than .

That eliminates , and , which are all less than or equal to .

That leaves , which is between and .

### Example Question #18 : Fractions

Ashley has feet of garland, and she uses feet of it to go around the door frame. How many feet of garland does she have left?

Explanation:

For this problem, you will need to find a common denominator for the fraction part of the mixed numbers:

Next, we want for the fraction in the mixed number we are subtracting from to be larger than the other fraction. We can do this by "taking" (or ) from the and add it to the . This gives us:

.

This should look less threatening now. Simply subtract the whole numbers and the fractions, and you are left with: .

### Example Question #13 : Fractions

Write as a fraction in lowest terms:

Explanation:

The expression is equal to sixty-six one-hundredths, so write it as a fraction and reduce as follows:

### Example Question #20 : Fractions

Write  as a decimal.