Exit Ticket (Convert Repeating Decimals to Fractions)

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats a digit or a group of digits indefinitely. For example, 0.333... is a repeating decimal where '3' repeats.

Front

How do you convert a repeating decimal to a fraction?

Back

To convert a repeating decimal to a fraction, let x equal the decimal, multiply by a power of 10 to shift the decimal point, set up an equation, and solve for x.

Front

What is the fraction equivalent of 0.666...?

Back

The fraction equivalent of 0.666... is 2/3.

Front

What is the first step in converting 0.2 (repeating) to a fraction?

Back

Let x = 0.2 (repeating). Then, multiply both sides by 10 to get 10x = 2.2 (repeating).

Front

What is the fraction equivalent of 0.1 (repeating)?

Back

The fraction equivalent of 0.1 (repeating) is 1/9.

Front

What does the notation 0.3̅ mean?

Back

The notation 0.3̅ means that the digit '3' repeats indefinitely.

Front

How can you represent 0.25 as a fraction?

Back

0.25 can be represented as 25/100, which simplifies to 1/4.

Front

What is the difference between a terminating decimal and a repeating decimal?

Back

A terminating decimal has a finite number of digits after the decimal point (e.g., 0.5), while a repeating decimal has digits that continue infinitely in a repeating pattern (e.g., 0.333...).

Front

Convert 0.75 to a fraction.

Back

0.75 can be converted to a fraction as 75/100, which simplifies to 3/4.

Front

What is the fraction equivalent of 0.142857 (repeating)?

Back

The fraction equivalent of 0.142857 (repeating) is 1/7.