Convert the decimal number - 6.89. Turn it into a reduced (simplified) improper fraction, into a mixed number and write it as a percentage. Calculate other equivalent fractions to the decimal number, by expanding

The numerator and the denominator are coprime numbers (no common prime factors, GCF = 1). So, the fraction cannot be reduced (simplified): irreducible fraction.

4. The fraction is an improper one, rewrite it as a mixed number (mixed fraction):

A mixed number = an integer number and a proper fraction, of the same sign.

Example 1: 2 ^{1}/_{5}; Example 2: - 1 ^{3}/_{7}.

A proper fraction = the numerator is smaller than the denominator.

- 689 ÷ 100 = - 6, remainder = - 89 =>

- 689 = - 6 × 100 - 89 =>

- ^{689}/_{100} =

^{(- 6 × 100 - 89)} / _{100} =

^{(- 6 × 100)} / _{100} - ^{89}/_{100} =

- 6 - ^{89}/_{100} =

- 6 ^{89}/_{100}

- ^{689}/_{100}: Equivalent fractions.

The above fraction cannot be reduced.

That is, it has the smallest numerator and denominator possible.

By expanding it we can build up equivalent fractions.

(Multiply the numerator & the denominator by the same number).

Decimal numbers to fractions and percentages, calculator

Learn how to turn a decimal number into a fraction and a percentage. Steps.

1. How to write the number as a percentage:

Multiply the number by 100. Then add the percent sign, %.

2. How to write the number as a fraction:

Write down the number divided by 1, as a fraction.

Turn the top number into a whole number: multiply both the top and the bottom by the same number.

Reduce (simplify) the above fraction to the lowest terms, to its simplest equivalent form, irreducible. To reduce a fraction divide the numerator and the denominator by their greatest (highest) common factor (divisor), GCF.

If the fraction is an improper one, rewrite it as a mixed number (mixed fraction).

Calculate equivalent fractions. By expanding it we can build up equivalent fractions: multiply the numerator & the denominator by the same number.