Converting common fractions to decimal fractions

What is a decimal fraction?

A fraction where the denominator is a power of ten, expressed with a decimal point.

How do you convert common fractions to decimal fractions?

Divide the numerator by the denominator.

What is the decimal equivalent of 1/2?

0.5

What is the decimal equivalent of 1/4?

0.25

What is the decimal equivalent of 3/4?

0.75

What is the decimal equivalent of 1/8?

0.125

What is the decimal equivalent of 2/5?

0.4

What is the decimal equivalent of 3/5?

0.6

What is a terminating decimal?

A decimal that has a finite number of digits after the decimal point.

Give an example of a terminating decimal.

0.75 is an example of a terminating decimal

What is the characteristic of a terminating decimal?

It can be expressed as a fraction where the denominator is a power of 10.

Can all fractions be terminating decimals?

No, only fractions where the denominator has prime factors of 2 and/or 5 can be terminating decimals.

Is 0.5 a terminating decimal?

Yes, 0.5 is a terminating decimal.

What are the conditions for a decimal to be terminating?

The denominator must have only the prime factors 2 and/or 5 when in simplest form.

What is a recurring decimal?

A decimal fraction that eventually repeats the same sequence of digits indefinitely.

What is the difference between terminating and recurring decimals?

Terminating decimals end after a finite number of digits; recurring decimals continue infinitely with a repeating pattern.

What is a non terminating decimal?

A decimal that goes on forever without repeating

What is the difference between terminating and non terminating decimals?

Terminating decimals have a finite number of digits, while non terminating decimals continue infinitely.

What is the first step in converting decimal fractions to common fractions?

Look at the place value of the last digit to determine the denominator.

What is used as the denominator in decimal to common fraction conversion?

The appropriate power of 10.

What should you do after determining the denominator?

Simplify the fraction as far as possible by dividing by a common factor.