Question

1. the table shows the amounts of two ingredients tara used to make a snack mix. she ate \\( \frac{3}{8} \\) cup of the snack mix for lunch. how much of the mix is left? show how you solved. \\( \

$$\begin{array}{|c|c|} \\hline \\text{ingredient} & \\text{amount} \\\\ \\hline \\text{rice crackers} & \\frac{3}{4} \\text{ c} \\\\ \\hline \\text{pretzels} & \\frac{2}{3} \\text{ c} \\\\ \\hline \\end{array}$$

\\) 14. samantha is making soup. to make the broth, she combines \\( \frac{2}{3} \\) cup of vegetable stock and \\( \frac{2}{3} \\) cup of chicken stock. boiling the broth causes \\( \frac{1}{4} \\) cup of the liquid to evaporate. how much broth is left after it is boiled? show how you solved. 15. number sense mary has three lengths of cable, \\( \frac{3}{6} \\) yard long, \\( \frac{1}{4} \\) yard long, and \\( \frac{1}{3} \\) yard long. which two pieces together make a length of \\( \frac{20}{24} \\) yard? 16. a kitten’s heartbeat can be as fast as 240 beats per minute. to find the number of times a kitten’s heart beats in 30 seconds, aiden says divide 240 by 30. do you agree with him? why or why not? 17. use structure explain how you know the quotients \\( 540 \div 90 \\) and \\( 5,400 \div 900 \\) are equal without doing any computation. 18. higher order thinking write an addition and subtraction problem and equation for the diagram. then find the missing value. \\( \

$$\begin{array}{|c|c|} \\hline \\frac{1}{6} & x \\\\ \\hline \\end{array}$$

\\) \\( \frac{3}{4} \\) 19. what fraction is missing from the following equation? \\( \frac{5}{6} - \square = \frac{3}{12} \\) \\( \

$$\begin{array}{|c|} \\hline \\text{a } \\frac{1}{3} \\\\ \\hline \\text{b } \\frac{4}{9} \\\\ \\hline \\text{c } \\frac{7}{12} \\\\ \\hline \\text{d } \\frac{13}{12} \\\\ \\hline \\end{array}$$

\\) 20. what number is missing from the following equation? \\( \square - \frac{3}{4} = \frac{2}{12} \\) \\( \

$$\begin{array}{|c|} \\hline \\text{a } \\frac{11}{12} \\\\ \\hline \\text{b } \\frac{8}{16} \\\\ \\hline \\text{c } \\frac{2}{12} \\\\ \\hline \\text{d } 1 \\\\ \\hline \\end{array}$$

\\) another look! kyra has \\( 4 \frac{1}{8} \\) yards of red ribbon and... ribbon. about how many yards of... round both numbers to the nearest whole number. then add or subtract. estimate \\( 4 \frac{1}{8} + 7 \frac{2}{3} \\). \\( 4 \frac{1}{8} \\) rounds to 4. \\( 7 \frac{2}{3} \\) rounds to 8. \\( 4 + 8 = 12 \\) so, \\( 4 \frac{1}{8} + 7 \frac{2}{3} \\) is about 12. kyra has about 12 yards of... in 1–8, round to the nearest... 1. \\( 8 \frac{5}{6} \\) 2.... 5. \\( 7 \frac{40}{81} \\) 6.... in 9–17, estimate each s... 9. \\( 7 \frac{1}{9} + 8 \frac{2}{5} \\) 12. \\( 11 \frac{3}{5} - 4 \frac{1}{12} \\)...

Explanation:

Problem 19:

Step 1: Let the missing fraction be \( x \). So the equation is \( \frac{5}{6}-x = \frac{3}{12} \).

Step 2: Solve for \( x \). Rearrange the equation: \( x=\frac{5}{6}-\frac{3}{12} \).

Step 3: Find a common denominator (12) for the fractions. \( \frac{5}{6}=\frac{10}{12} \).

Step 4: Subtract: \( x = \frac{10}{12}-\frac{3}{12}=\frac{7}{12} \).

Step 1: Let the missing number be \( y \). The equation is \( y-\frac{3}{4}=\frac{2}{12} \).

Step 2: Solve for \( y \). Rearrange the equation: \( y=\frac{2}{12}+\frac{3}{4} \).

Step 3: Find a common denominator (12) for the fractions. \( \frac{3}{4}=\frac{9}{12} \).

Step 4: Add: \( y=\frac{2}{12}+\frac{9}{12}=\frac{11}{12} \).

Answer:

C. \( \frac{7}{12} \)

Problem 20: