Question

1.) leah had 2/3 pounds of flour. she used 1/4 of what she had to bake bread. how many pounds of flour did she use? write your answer as a proper fraction or mixed number.
criteria for success
convert any mixed numbers to improper fractions
multiply the numerators
multiply the denominators
simplify and/or convert any improper fractions to mixed numbers
answer

2.) draw a visual model and evaluate the expression.
4/8 ÷ 2
criteria for success
draw a visual model of the fraction
divide each part of the visual model into equal parts
determine the equivalent fractional amount

Explanation:

Step1: Calculate flour used in first problem

Multiply the total flour by the fraction used.
$\frac{2}{3}\times\frac{1}{4}=\frac{2\times1}{3\times4}$

Step2: Simplify the fraction

$\frac{2\times1}{3\times4}=\frac{2}{12}=\frac{1}{6}$

Step3: Solve second - problem division of fraction

Dividing by a number is the same as multiplying by its reciprocal. So $\frac{4}{8}\div2=\frac{4}{8}\times\frac{1}{2}$

Step4: Multiply numerators and denominators

$\frac{4\times1}{8\times2}=\frac{4}{16}$

Step5: Simplify the fraction

$\frac{4}{16}=\frac{1}{4}$

Answer:

1. $\frac{1}{6}$
2. $\frac{1}{4}$ (Note: Drawing a visual model for $\frac{4}{8}\div2$ could involve drawing a rectangle divided into 8 equal parts, shading 4 of them to represent $\frac{4}{8}$, and then dividing those 4 shaded parts into 2 equal groups to see that each group represents $\frac{1}{4}$)