Subjects algebra

Fraction Conversion 6E083B

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1. The problem is to convert the fraction $\frac{9}{10}$ into different equivalent forms and understand its decimal and percentage representations. 2. The fraction $\frac{9}{10}$ means 9 parts out of 10 equal parts. 3. To convert $\frac{9}{10}$ to a decimal, divide the numerator by the denominator: $$\frac{9}{10} = 0.9$$ 4. To express $\frac{9}{10}$ as a percentage, multiply the decimal by 100: $$0.9 \times 100 = 90\%$$ 5. The fraction $\frac{9}{10}$ can also be expressed in hundredths by multiplying numerator and denominator by 10: $$\frac{9}{10} = \frac{9 \times 10}{10 \times 10} = \frac{90}{100}$$ 6. The decimal 0.9 is equivalent to $\frac{90}{100}$, which matches the shaded 90 squares out of 100 in the 10 by 10 grid. 7. The other forms given (8/10, 0.30, 5 4/10, 3 60/100) are different fractions or decimals and are not equivalent to $\frac{9}{10}$. Final answer: $\frac{9}{10} = 0.9 = 90\% = \frac{90}{100}$