How to find the fractional equivalent of a decimal

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SAT Math › How to find the fractional equivalent of a decimal

Questions 1 - 4

1

Write 0.45 as a fraction.

$\frac{9}{20}$

$\frac{3}{4}$

$\frac{2}{5}$

$\frac{11}{20}$

$\frac{5}{9}$

Explanation

.45 is equivalent to 45 out of 100, or $\frac{45}{100}$ .

Divide both the numerator and denominator by 5 to simplify the fraction:

$\frac{9}{20}$

2

What is the fractional equivalent of ?

$\frac{33}{100}$

$\frac{1}{3}$

$\frac{333}{1000}$

$\frac{3}{10}$

Explanation

In decimal form is said 33 hundredths.

This is equal to

$\frac{33}{100}$ .

This fraction cannot be reduced any further therefore it is in its final answer form.

3

Convert the decimal to fraction form and reduce it to its simplest form.

$\frac{33}{40}$

$\frac{825}{1000}$

$\frac{165}{200}$

$\frac{13}{25}$

$\frac{21}{55}$

Explanation

In order to convert to a fraction, you would first begin with $\frac{825}{1000}$ , because the decimal literally reads thousandths. You can reduce by a few times or just begin by dividing both numbers by to get $\frac{33}{40}$ .

$\frac{825}{1000}=\frac{165}{200}=\frac{33}{40}$

4

A tub of food contains pounds of vegetables, pounds of lard, and pounds of sausage. What is its total weight as an improper fraction?

$\frac{69}{4}$

$\frac{17}{4}$

$\frac{18}{4}$

$\frac{91}{8}$

$\frac{83}{4}$

Explanation

To begin with, it is easiest just to add these decimals together using your calculator:

Now, this is the same thing as:

We can rewrite this:

$17 + \frac{1}{4}$

To find this, you need to give the two numbers a common denominator:

$17 + \frac{1}{4} = \frac{68}{4}+\frac{1}{4}=\frac{69}{4}$

This is your answer.

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