Question

math buzz
circle the prime numbers.
39 61 101 17 81
53 79 27 41 95
what fraction of the numbers are prime?
simplify if possible.
answer:
the line plot shows the weight, in pounds, of each
wrestler in the intermediate division weight class
competing in saturdays tournament.
intermediate division weight class
key: x = 1 wrestler
how many wrestlers weighed 66\\(\frac{1}{2}\\) pounds?

what was the most common weight recorded in
the intermediate division?

what is the difference between the heaviest and
lightest weights recorded in this weight class?
simplify if possible.

add. simplify if possible.
\\(\frac{7}{15}+\frac{2}{3}=\\)
\\(\

$$\begin{array}{r}\\frac{1}{2}\\\\+\\frac{4}{5}\\\\\\hline\\end{array}$$

\\)
find the sum of \\(\frac{9}{12}\\) and \\(\frac{11}{24}\\).

write the decimal in standard form.
forty - eight hundredths

write the decimal in word form.
0.9

Explanation:

Step1: Count the total numbers and prime numbers

There are 10 numbers in total. The prime numbers are 61, 101, 17, 53, 79, 41 (6 prime numbers).

Step2: Calculate the fraction

The fraction of prime numbers is $\frac{6}{10}$. Simplify it by dividing numerator and denominator by 2: $\frac{6\div2}{10\div2}=\frac{3}{5}$.

Step3: Calculate $\frac{7}{15}+\frac{2}{3}$

Find a common denominator. The common denominator of 15 and 3 is 15. Rewrite $\frac{2}{3}$ as $\frac{10}{15}$. Then $\frac{7}{15}+\frac{10}{15}=\frac{7 + 10}{15}=\frac{17}{15}=1\frac{2}{15}$.

Step4: Calculate $\frac{1}{2}+\frac{4}{5}$

Find a common denominator. The common denominator of 2 and 5 is 10. Rewrite $\frac{1}{2}$ as $\frac{5}{10}$ and $\frac{4}{5}$ as $\frac{8}{10}$. Then $\frac{5}{10}+\frac{8}{10}=\frac{5+8}{10}=\frac{13}{10}=1\frac{3}{10}$.

Step5: Calculate $\frac{9}{12}+\frac{11}{24}$

Find a common denominator. The common denominator of 12 and 24 is 24. Rewrite $\frac{9}{12}$ as $\frac{18}{24}$. Then $\frac{18}{24}+\frac{11}{24}=\frac{18 + 11}{24}=\frac{29}{24}=1\frac{5}{24}$.

Step6: Write "forty - eight hundredths" in standard form

"Forty - eight hundredths" is written as $0.48$.

Step7: Write $0.9$ in word form

$0.9$ is written as "nine tenths".

Step8: Analyze the line plot for the number of wrestlers at $66\frac{1}{2}$ pounds

Count the number of X's at the position corresponding to $66\frac{1}{2}$ pounds. There are 3 X's.

Step9: Find the most common weight

The weight with the most X's is $68\frac{1}{2}$ pounds.

Step10: Calculate the difference between the heaviest and lightest weights

The heaviest weight is 70 pounds and the lightest weight is $65\frac{1}{2}$ pounds. $70-65\frac{1}{2}=4\frac{1}{2}$ pounds.

Answer:

• Fraction of prime numbers: $\frac{3}{5}$
• $\frac{7}{15}+\frac{2}{3}=1\frac{2}{15}$
• $\frac{1}{2}+\frac{4}{5}=1\frac{3}{10}$
• $\frac{9}{12}+\frac{11}{24}=1\frac{5}{24}$
• "forty - eight hundredths" in standard form: $0.48$
• $0.9$ in word form: nine tenths
• Number of wrestlers at $66\frac{1}{2}$ pounds: 3
• Most common weight: $68\frac{1}{2}$ pounds
• Difference between heaviest and lightest weights: $4\frac{1}{2}$ pounds