Subjects algebra

Decimal To Fraction 4Bc2E1

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1. The problem asks to convert the decimal numbers 2.167 and 0.867 into fractions. 2. To convert a decimal to a fraction, write the decimal number over its place value and simplify. 3. Convert 2.167: $$2.167 = 2 + 0.167 = 2 + \frac{167}{1000} = \frac{2000}{1000} + \frac{167}{1000} = \frac{2167}{1000}$$ 4. Simplify \(\frac{2167}{1000}\). Since 2167 and 1000 have no common factors other than 1, the fraction is already in simplest form. 5. Convert 0.867: $$0.867 = \frac{867}{1000}$$ 6. Simplify \(\frac{867}{1000}\). The greatest common divisor of 867 and 1000 is 1, so the fraction is already in simplest form. 7. Final answers: - 2.167 as a fraction is \(\frac{2167}{1000}\). - 0.867 as a fraction is \(\frac{867}{1000}\).