1.5 Visualize fractions  (Page 5/12)

$\frac{3}{8}$

$\frac{5}{8}$

$\frac{5}{9}$

$\frac{1}{8}$

$-\frac{40}{88}$

$-\frac{63}{99}$

$-\frac{108}{63}$

$-\frac{104}{48}$

$\frac{120}{252}$

$\frac{182}{294}$

$-\frac{3x}{12y}$

$-\frac{4x}{32y}$

$\frac{14x^2}{21y}$

$\frac{24a}{32b^2}$

$\frac{3}{4}·\frac{9}{10}$

$\frac{4}{5}·\frac{2}{7}$

$-\frac{2}{3}\left(-\frac{3}{8}\right)$

$-\frac{3}{4}\left(-\frac{4}{9}\right)$

$-\frac{5}{9}·\frac{3}{10}$

$-\frac{3}{8}·\frac{4}{15}$

$\left(-\frac{14}{15}\right)\left(\frac{9}{20}\right)$

$\left(-\frac{9}{10}\right)\left(\frac{25}{33}\right)$

$\left(-\frac{63}{84}\right)\left(-\frac{44}{90}\right)$

$\left(-\frac{63}{60}\right)\left(-\frac{40}{88}\right)$

$4·\frac{5}{11}$

$5·\frac{8}{3}$

$\frac{3}{7}·21n$

$\frac{5}{6}·30m$

$\mathrm{-8}\left(\frac{17}{4}\right)$

$\left(\mathrm{-1}\right)\left(-\frac{6}{7}\right)$

$\frac{3}{4}÷\frac{2}{3}$

$\frac{4}{5}÷\frac{3}{4}$

$-\frac{7}{9}÷\left(-\frac{7}{4}\right)$

$-\frac{5}{6}÷\left(-\frac{5}{6}\right)$

$\frac{3}{4}÷\frac{x}{11}$

$\frac{2}{5}÷\frac{y}{9}$

$\frac{5}{18}÷\left(-\frac{15}{24}\right)$

$\frac{7}{18}÷\left(-\frac{14}{27}\right)$

$\frac{8u}{15}÷\frac{12v}{25}$

$\frac{12r}{25}÷\frac{18s}{35}$

$\mathrm{-5}÷\frac{1}{2}$

$\mathrm{-3}÷\frac{1}{4}$

$\frac{3}{4}÷\left(\mathrm{-12}\right)$

$\mathrm{-15}÷\left(-\frac{5}{3}\right)$

$\frac{-\frac{8}{21}}{\frac{12}{35}}$

$\frac{-\frac{9}{16}}{\frac{33}{40}}$

$\frac{-\frac{4}{5}}{2}$

$\frac{5}{\frac{3}{10}}$

$\frac{\frac{m}{3}}{\frac{n}{2}}$

$\frac{-\frac{3}{8}}{-\frac{y}{12}}$

$\frac{22+3}{10}$

$\frac{19-4}{6}$

$\frac{48}{24-15}$

$\frac{46}{4+4}$

$\frac{\mathrm{-6}+6}{8+4}$

$\frac{\mathrm{-6}+3}{17-8}$

$\frac{4·3}{6·6}$

$\frac{6·6}{9·2}$

$\frac{4^2-1}{25}$

$\frac{7^2+1}{60}$

$\frac{8·3+2·9}{14+3}$

$\frac{9·6-4·7}{22+3}$

$\frac{5·6-3·4}{4·5-2·3}$

$\frac{8·9-7·6}{5·6-9·2}$

$\frac{5^2-3^2}{3-5}$

$\frac{6^2-4^2}{4-6}$

$\frac{7·4-2\left(8-5\right)}{9·3-3·5}$

$\frac{9·7-3\left(12-8\right)}{8·7-6·6}$

$\frac{9\left(8-2\right)-3\left(15-7\right)}{6\left(7-1\right)-3\left(17-9\right)}$

$\frac{8\left(9-2\right)-4\left(14-9\right)}{7\left(8-3\right)-3\left(16-9\right)}$

the quotient of r and the sum of s and 10

the quotient of A and the difference of 3 and B

the quotient of the difference of $x\text{and}y,\text{and}-3$

the quotient of the sum of $m\text{and}n,\text{and}4q$

Baking. A recipe for chocolate chip cookies calls for $\frac{3}{4}$ cup brown sugar. Imelda wants to double the recipe. ⓐ How much brown sugar will Imelda need? Show your calculation. ⓑ Measuring cups usually come in sets of $\frac{1}{4},\frac{1}{3},\frac{1}{2},\text{and}1$ cup. Draw a diagram to show two different ways that Imelda could measure the brown sugar needed to double the cookie recipe.

Baking. Nina is making 4 pans of fudge to serve after a music recital. For each pan, she needs $\frac{2}{3}$ cup of condensed milk. ⓐ How much condensed milk will Nina need? Show your calculation. ⓑ Measuring cups usually come in sets of $\frac{1}{4},\frac{1}{3},\frac{1}{2},\text{and}1$ cup. Draw a diagram to show two different ways that Nina could measure the condensed milk needed for $4$ pans of fudge.

Portions Don purchased a bulk package of candy that weighs $5$ pounds. He wants to sell the candy in little bags that hold $\frac{1}{4}$ pound. How many little bags of candy can he fill from the bulk package?

Portions Kristen has $\frac{3}{4}$ yards of ribbon that she wants to cut into $6$ equal parts to make hair ribbons for her daughter’s 6 dolls. How long will each doll’s hair ribbon be?

Rafael wanted to order half a medium pizza at a restaurant. The waiter told him that a medium pizza could be cut into 6 or 8 slices. Would he prefer 3 out of 6 slices or 4 out of 8 slices? Rafael replied that since he wasn’t very hungry, he would prefer 3 out of 6 slices. Explain what is wrong with Rafael’s reasoning.

Give an example from everyday life that demonstrates how $\frac{1}{2}·\frac{2}{3}\text{is}\frac{1}{3}.$

Explain how you find the reciprocal of a fraction.

Explain how you find the reciprocal of a negative number.