QUESTION IMAGE
Question
a biologist studied how cells grow by adding liquid protein to cell samples. she reported in her study that she divided 4/5 of an ounce of liquid protein evenly among 8 cell samples. how much liquid protein did she give to each cell sample?
write your answer as a fraction or as a whole or mixed number.
(square) ounces
Step1: Understand the problem
We need to divide \(\frac{4}{5}\) ounce of liquid protein evenly among 8 cell samples. So we use division: \(\frac{4}{5} \div 8\).
Step2: Divide the fraction by the whole number
Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 8 is \(\frac{1}{8}\). So we have \(\frac{4}{5} \times \frac{1}{8}\).
Step3: Multiply the fractions
Multiply the numerators: \(4 \times 1 = 4\). Multiply the denominators: \(5 \times 8 = 40\). So we get \(\frac{4}{40}\).
Step4: Simplify the fraction
Divide numerator and denominator by their greatest common divisor, which is 4. \(\frac{4 \div 4}{40 \div 4} = \frac{1}{10}\).
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\(\frac{1}{10}\)