Decimal to Fraction Conversion

Front

What is the process to convert a repeating decimal to a fraction?

Back

To convert a repeating decimal to a fraction, let x equal the decimal. Multiply x by a power of 10 that moves the decimal point to the right of the repeating part. Subtract the original equation from this new equation to eliminate the repeating part, then solve for x.

Front

What is the fraction equivalent of the repeating decimal 0.363636...?

Back

The fraction equivalent of 0.363636... is 4/11.

Front

What is the fraction equivalent of the repeating decimal 0.142857142857...?

Back

The fraction equivalent of 0.142857142857... is 1/7.

Front

What is the fraction equivalent of the decimal 0.125?

Back

The fraction equivalent of 0.125 is 1/8.

Front

What is the fraction equivalent of the decimal 0.75?

Back

The fraction equivalent of 0.75 is 3/4.

Front

What is the fraction equivalent of the repeating decimal 0.666...?

Back

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

Front

What is a terminating decimal?

Back

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

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has one or more digits that repeat infinitely.

Front

How can you identify if a decimal is repeating or terminating?

Back

A decimal is terminating if it can be expressed as a fraction with a denominator that is a power of 10. A decimal is repeating if it cannot be expressed this way.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates how many equal parts the whole is divided into.