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.