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10 (a) Write (15)/(7) as a mixed number. (1) square square (b) Find the median.

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10
(a) Write (15)/(7) as a mixed number.
(1)
square 
square 
(b) Find the median.

10 (a) Write (15)/(7) as a mixed number. (1) square square (b) Find the median.

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GilbertMaster · Tutor for 5 years

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<br /><br />(a) To write \(\frac{15}{7} \) as a mixed number, we need to determine how many times the denominator (7) goes into the numerator (15). <br /><br />\[ \frac{15}{7} = 2\left(\frac{2 \times 7}{7}\right) + \frac{1}{7} = 2\; whole \;numbers + \frac{1}{7}. \]<br /><br />So \( \frac{15}{7} \) as a mixed number is \(2 \frac{1}{7}\).<br /><br />(b) To find the median of the list of numbers (-3, 6, -5, 4, 4, 0), first we need to sort the numbers in numerical order: \[-5, -3, 0, 4, 4, 6.\]<br /><br />There is an even number of numbers in the list, so we find the mean of the two middle numbers as follows:<br /><br />\[ median = \frac{ 0 + 4 }{2} = 2 \quad (Here 0 and 4 are the two middle numbers.) \]<br /><br />In conclusion, <br />(a) The improper fraction \(\frac{15}{7} \) is equivalent to the mixed number \(2 \frac{1}{7}\) and<br />(b) The median of the set of numbers is 2.
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