Convert the pure repeating (recurring) decimal number 0.26. Turn it into a reduced (simplified) proper fraction and write it as a percentage. Calculate other equivalent fractions to the decimal number, by expanding

Convert 0.26

1. Write the pure repeating (recurring) decimal number as a percentage.

Approximate to the desired number of decimal places (14):

0.26 ≈ 0.26262626262626

Multiply the number by ^{100}/_{100}.

The value of the number does not change when multiplying by ^{100}/_{100}.

Note: ^{100}/_{100} = 1

0.26262626262626 =

0.26262626262626 × ^{100}/_{100} =

^{(0.26262626262626 × 100)}/_{100} =

^{26.262626262626}/_{100} =

26.262626262626% ≈

26.26%

(rounded off to a maximum of 2 decimal places)

In other words:

Approximate to the desired number of decimal places...

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

^{26}/_{99}: Equivalent fractions.

The above fraction cannot be reduced.

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

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.