Subjects algebra

Decimal To Fraction 549835

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1. **State the problem:** Convert the decimal number 10.08 into a fraction. 2. **Understand the decimal:** The number 10.08 has two digits after the decimal point. 3. **Write the decimal as a fraction:** $$10.08 = 10 + 0.08 = 10 + \frac{8}{100}$$ 4. **Simplify the fraction part:** $$\frac{8}{100} = \frac{\cancel{8}}{\cancel{100}} = \frac{2}{25}$$ 5. **Combine the whole number and fraction:** $$10 + \frac{2}{25} = \frac{10 \times 25}{25} + \frac{2}{25} = \frac{250}{25} + \frac{2}{25} = \frac{252}{25}$$ 6. **Final answer:** $$10.08 = \frac{252}{25}$$ This fraction cannot be simplified further.