Subjects fractions

Shaded Fraction C05399

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1. The problem asks to find the fraction of the circle that is shaded given the other fractions of the circle. 2. The circle is divided into three parts: 29/100, 9/25, and the shaded portion. 3. The sum of all parts of a circle must equal 1 (the whole circle). 4. First, convert all fractions to have a common denominator or convert to decimals for easier addition. 5. Convert 9/25 to a fraction with denominator 100: $$\frac{9}{25} = \frac{9 \times 4}{25 \times 4} = \frac{36}{100}$$ 6. Add the known parts: $$\frac{29}{100} + \frac{36}{100} = \frac{29 + 36}{100} = \frac{65}{100}$$ 7. The shaded fraction is the remainder of the circle: $$1 - \frac{65}{100} = \frac{100}{100} - \frac{65}{100} = \frac{35}{100}$$ 8. Simplify the fraction $$\frac{35}{100}$$ by dividing numerator and denominator by 5: $$\frac{\cancel{35}^{7}}{\cancel{100}^{20}} = \frac{7}{20}$$ 9. Therefore, the fraction of the circle that is shaded is $$\frac{7}{20}$$. This matches the option labeled I 7/20. Final answer: $$\boxed{\frac{7}{20}}$$