Question

*16. a foot-long ribbon can be cut into how many \\(1\frac{1}{2}\\)-inch lengths?
answer:
*18. if \\(\frac{1}{5}\\) of the pie was eaten, what percent of the pie was left?
answer:
*20. \\(\frac{4.5}{0.18}\\)
answer:
*22. solve the proportion \\(\frac{15}{20} = \frac{24}{n}\\)
answer:
*24. \\((4.2 \times 0.05) \div 7\\)
answer

Explanation:

Problem 16

Step1: Convert foot to inches

1 foot = 12 inches.

Step2: Divide total length by segment length

We need to find how many \(1\frac{1}{2}\)-inch (which is \(\frac{3}{2}\) inches) lengths are in 12 inches. So we calculate \(12\div\frac{3}{2}\).

Step3: Perform the division

\(12\div\frac{3}{2}=12\times\frac{2}{3} = 8\).

Step1: Find the fraction left

If \(\frac{1}{5}\) of the pie was eaten, the fraction left is \(1 - \frac{1}{5}=\frac{4}{5}\).

Step2: Convert fraction to percent

To convert \(\frac{4}{5}\) to a percent, we multiply by 100: \(\frac{4}{5}\times100 = 80\%\).

Step1: Multiply numerator and denominator by 100

To eliminate decimals, multiply \(\frac{4.5}{0.18}\) by \(\frac{100}{100}\), getting \(\frac{450}{18}\).

Step2: Perform the division

\(450\div18 = 25\).

Answer:

8

Problem 18