Convert the decimal number 3.3. 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.

33 ÷ 10 = 3, remainder = 3 =>

33 = 3 × 10 + 3 =>

^{33}/_{10} =

^{(3 × 10 + 3)} / _{10} =

^{(3 × 10)} / _{10} + ^{3}/_{10} =

3 + ^{3}/_{10} =

3 ^{3}/_{10}

^{33}/_{10}: 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).

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.