Solved on Sep 29, 2023

Find the fraction and percentage of people who said comedy films were their favourite in a pie chart with 10 equal slices, 4 of which represent comedy films.
a) Fraction = 410\frac{4}{10} b) Percentage = 410×100=40%\frac{4}{10} \times 100 = 40\%

STEP 1

Assumptions1. The pie chart is divided into10 equal slices. .4 slices represent people who said comedy films were their favourite.

STEP 2

To find the fraction of people who said comedy films were their favourite, we need to divide the number of slices representing comedy films by the total number of slices.
Fraction=NumberofcomedyfilmslicesTotalnumberofslicesFraction = \frac{Number\, of\, comedy\, film\, slices}{Total\, number\, of\, slices}

STEP 3

Now, plug in the given values for the number of comedy film slices and the total number of slices to calculate the fraction.
Fraction=10Fraction = \frac{}{10}

STEP 4

implify the fraction to its simplest form.
Fraction=410=2Fraction = \frac{4}{10} = \frac{2}{}So, the fraction of people who said comedy films were their favourite is2/.

STEP 5

To find the percentage of people who said comedy films were their favourite, we need to convert the fraction to a percentage. We can do this by multiplying the fraction by100.
Percentage=Fractiontimes100%Percentage = Fraction \\times100\%

STEP 6

Now, plug in the value for the fraction to calculate the percentage.
Percentage=25times100%Percentage = \frac{2}{5} \\times100\%

STEP 7

Calculate the percentage.
Percentage=25times100%=40%Percentage = \frac{2}{5} \\times100\% =40\%So,40% of people said comedy films were their favourite.

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