How to find the decimal equivalent of a fraction

Help Questions

ISEE Middle Level Quantitative Reasoning › How to find the decimal equivalent of a fraction

Questions 1 - 10

1

How many of the following four numbers are elements of the set

$A = \left { x ; | ; \frac{1}{2}< x < \frac{2}{3}\right } ?$

(A)

(B)

(C)

(D)

Three

None

One

Two

Four

Explanation

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

2

What is the decimal equivalent to $\frac{52}{130}$ ?

Explanation

To solve, divide the numerator (top half of the fraction) by the denominator (bottom half of the fraction):

$52\div 130=.40$

Answer:

3

Find the decimal equivalent of $\frac{72}{90}$ .

Explanation

To solve, divide:

$72\div 90=0.80$

Another way to solve is to reduce the fraction by removing the greatest common factor.

$\frac{72}{90}=\frac{72\div9}{90\div9}=\frac{8}{10}$

Eight over ten, or eight-tenths, is equal to .

Answer:

4

What is the decimal equivalent of $\frac{36}{90}$ ?

Explanation

Divide.

$36\div 90=0.40$

Another way to solve is to simplify the fraction by removing common factors.

$\frac{36}{90}=\frac{36\div9}{90\div9}=\frac{4}{10}$

Four over ten, or four-tenths, is equal to

Answer:

5

What is the decimal equivalent of $\frac{24}{64}$ ?

Explanation

To convert the fraction to a decimal, divide the numerator by the denominator:

$24\div 64=.375$

Answer:

6

Which is the greater quantity?

(a) $- \frac{3}{13}$

(b)

(b) is greater

(a) is greater

(a) and (b) are equal

It is impossible to tell from the information given

Explanation

Divide 3 by 13:

$\frac{3}{13} = 3 \div 13 = 0.230769... > 0.23$

$\frac{3}{13} > 0.23 \Rightarrow -\frac{3}{13} < - 0.23$

7

Which is the greater quantity?

(a) $\frac{7}{11}$

(b)

(a) is greater

(b) is greater

(a) and (b) are equal

It is impossible to tell from the information given

Explanation

Divide 7 by 11:

$\frac{7}{11} = 7 \div 11 = 0.636363... > 0.63$

8

Find the equivalent of $\frac{96}{320}$

Explanation

To solve, divide: $96\div 320=.30$

Answer:

9

What is the equivalent of $\frac{15}{100}$ ?

Explanation

To solve, divide: $15\div 100=.15$

Answer:

10

Which is equivalent to $\frac{12}{60}$ ?

Explanation

Divide:

$12\div 60=.20$

Answer:

Page 1 of 20

Return to subject