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rachel invited marta over to taste her mothers pies. rachels mom baked …

Question

rachel invited marta over to taste her mothers pies.

rachels mom baked 6 pies and cut each pie into 8 equal pieces. marta decides shes going to try one piece from each pie.

how much of a whole pie does she end up eating?

select one answer
a \\(\frac{2}{3}\\) pie
b \\(\frac{5}{8}\\) pie
c \\(\frac{3}{4}\\) pie
d \\(1\frac{1}{4}\\) pie

Explanation:

Identify the fraction of one pie

Using the Word Problems knowledge point

$$ \text{One piece} = \frac{1}{8} \text{ of a pie} $$

Calculate total pieces eaten

Using the Word Problems knowledge point

$$ \text{Total pieces} = 6 \text{ pieces} $$

Multiply to find total pie

Using the Multiplying Fractions knowledge point

$$ \text{Total eaten} = 6 \times \frac{1}{8} = \frac{6}{8} \text{ pie} $$

Simplify the fraction

Using the Multiplying Fractions knowledge point

$$ \frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \text{ pie} $$

Answer:

  • (A) \(\frac{2}{3}\) pie
  • (B) \(\frac{5}{8}\) pie
  • (C) \(\frac{3}{4}\) pie (Correct answer)
  • (D) \(1\frac{1}{4}\) pie