13.1 - 13.3 review & add or subtract. 11. $1\\frac{2}{3}+3\\frac{5}{6}=$ 12. $7\\frac{1}{2}-3\\frac{3}{4}=$…

13.1 - 13.3 review & add or subtract. 11. $1\\frac{2}{3}+3\\frac{5}{6}=$ 12. $7\\frac{1}{2}-3\\frac{3}{4}=$ 13. $1\\frac{7}{12}+1\\frac{1}{4}=$ 14. each week you collect 20 cards. your friend collects 12 cards each week. how many cards does your friend have if you have 240 cards? find the volume of the figure. 15. volume = 16. volume =
Answer
Answer:
- $\frac{5}{2}$
- $3\frac{3}{4}$
- $2\frac{5}{6}$
- 144 cards
- (No figure details given, unable to answer)
- $32$ $cm^{3}$
Explanation:
Step1: Solve 11
Convert mixed - numbers to improper fractions. $1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}$, $3\frac{5}{6}=\frac{3\times6+5}{6}=\frac{23}{6}$. Then $\frac{5}{3}+\frac{23}{6}=\frac{10 + 23}{6}=\frac{33}{6}=\frac{11}{2}=5\frac{1}{2}$
Step2: Solve 12
$7\frac{1}{2}=\frac{7\times2 + 1}{2}=\frac{15}{2}$, $3\frac{3}{4}=\frac{3\times4+3}{4}=\frac{15}{4}$. $\frac{15}{2}-\frac{15}{4}=\frac{30 - 15}{4}=\frac{15}{4}=3\frac{3}{4}$
Step3: Solve 13
$1\frac{7}{12}=\frac{1\times12 + 7}{12}=\frac{19}{12}$, $1\frac{1}{4}=\frac{1\times4+1}{4}=\frac{5}{4}$. $\frac{19}{12}+\frac{5}{4}=\frac{19+15}{12}=\frac{34}{12}=\frac{17}{6}=2\frac{5}{6}$
Step4: Solve 14
If you have 240 cards and collect 20 cards per week, the number of weeks is $\frac{240}{20}=12$ weeks. Your friend collects 12 cards per week, so your friend has $12\times12 = 144$ cards.
Step5: Solve 16
The volume of a rectangular - prism is $V=l\times w\times h$. Here, $l = 4$ cm, $w = 2$ cm, $h = 4$ cm. So $V=4\times2\times4=32$ $cm^{3}$