Question

question: a scientist is collecting soil samples from a depth of -75 3/5 feet. the soil core sampler can only collect samples that are 1 1/5 feet long. how many soil samples can the scientist collect from this depth? answer: answer: answer:

Explanation:

Step1: Convert mixed - numbers to improper fractions

The total depth is $75\frac{3}{5}=\frac{75\times5 + 3}{5}=\frac{375+ 3}{5}=\frac{378}{5}$ feet. The depth per sample is $1\frac{1}{5}=\frac{1\times5+1}{5}=\frac{6}{5}$ feet.

Step2: Divide total depth by depth per sample

To find the number of samples, we divide the total depth by the depth per sample. So, $\frac{378}{5}\div\frac{6}{5}=\frac{378}{5}\times\frac{5}{6}$.
The 5s cancel out, and $\frac{378}{6}=63$.

Answer:

63