Question

week 7
monday
evaluate and simplify.
$1\frac{1}{4} \div \frac{2}{8} =$
tuesday
you have you bought 4 binders on sale for $12.60. how much did you pay for each binder if they were all the same price?

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{1}{4} = \frac{4\times1 + 1}{4} = \frac{5}{4}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{5}{4} \div \frac{2}{8} = \frac{5}{4} \times \frac{8}{2}$

Step3: Simplify and multiply fractions

$\frac{5}{4} \times \frac{8}{2} = \frac{5 \times 8}{4 \times 2} = \frac{40}{8} = 5$
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Step1: Set up cost per binder formula

$\text{Cost per binder} = \frac{\text{Total cost}}{\text{Number of binders}}$

Step2: Substitute values and calculate

$\text{Cost per binder} = \frac{12.60}{4} = 3.15$

Answer:

Monday: $5$
Tuesday: $\$3.15$