Step-by-step explanation:
[tex]8.08 = \frac{202}{25} = 8 \frac{2}{25} as \: a \: fraction[/tex]
To convert the decimal 8.08 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
[tex]8.08 = \frac{8.08}{1} [/tex]
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
[tex] \frac{8.08}{1} = \frac{(8.08 \times 100)}{(1 \times 100)} = \frac{808}{100} [/tex]
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(808,100) = 4. So,
[tex] \frac{(808 \div 4)}{(100 \div 4) } = \frac{202}{25} when \: reduce \: to \: simplest \: form[/tex]
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus
[tex] \frac{808}{100} is \: also \: equal \: to \: 8 \: \\ \frac{2}{25} when \: expressed \: as \: a \: mixed \: number[/tex]