Question

use the circle graph. it shows the types of flowers that are planted in a large garden.

1. find the difference between the fraction of petunias and the fraction of marigolds.
2. find the difference between the fraction of impatiens and the fraction of geraniums.
3. what fraction of flowers is in the \other\ category?

(the circle graph has: impatiens \\(\frac{13}{25}\\), petunia \\(\frac{1}{5}\\), geranium \\(\frac{13}{100}\\), pansy \\(\frac{1}{25}\\), marigold \\(\frac{1}{50}\\), other? )

Explanation:

Step1: Solve Q5: Get common denominator

Petunia: $\frac{1}{5} = \frac{10}{50}$, Marigold: $\frac{1}{50}$

Step2: Q5: Calculate difference

$\frac{10}{50} - \frac{1}{50} = \frac{9}{50}$

Step3: Solve Q6: Get common denominator

Impatiens: $\frac{13}{25} = \frac{52}{100}$, Geranium: $\frac{13}{100}$

Step4: Q6: Calculate difference

$\frac{52}{100} - \frac{13}{100} = \frac{39}{100}$

Step5: Solve Q7: Sum all known fractions

First convert to 100 denominator:
$\frac{13}{25}=\frac{52}{100}$, $\frac{1}{5}=\frac{20}{100}$, $\frac{13}{100}$, $\frac{1}{25}=\frac{4}{100}$, $\frac{1}{50}=\frac{2}{100}$
Sum: $\frac{52+20+13+4+2}{100} = \frac{91}{100}$

Step6: Q7: Subtract sum from 1

$1 - \frac{91}{100} = \frac{9}{100}$

Answer:

1. $\frac{9}{50}$
2. $\frac{39}{100}$
3. $\frac{9}{100}$