Converting Repeating Decimals to Fractions Practice

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.

Front

How do you convert a repeating decimal to a fraction?

Back

To convert a repeating decimal to a fraction, set the decimal equal to a variable, multiply by a power of 10 to shift the decimal point, subtract the original equation from this new equation, and solve for the variable.

Front

What is the decimal representation of 1/3?

Back

0.333... (which is a repeating decimal).

Front

What is the decimal representation of 1/6?

Back

0.1666... (which is a repeating decimal).

Front

How do you express a mixed number as a decimal?

Back

To express a mixed number as a decimal, convert the fractional part to a decimal and add it to the whole number.

Front

What is the decimal equivalent of 2 4/5?

Back

2.8.

Front

What is the process of long division in converting fractions to decimals?

Back

Long division involves dividing the numerator by the denominator to find the decimal equivalent.

Front

What is the decimal representation of -5 1/6?

Back

-5.1666... (which is a repeating decimal).

Front

What is the fraction equivalent of 0.666...?

Back

2/3.

Front

How do you identify the repeating part of a decimal?

Back

The repeating part of a decimal can be identified by looking for a sequence of digits that continues indefinitely after a certain point.