Question

concept practice
1 laney uses 3 1/4 bags of red beads and 2 5/6 bags of yellow beads for a craft at summer camp. how many bags of red and yellow beads does laney use?
a 5 11/12 bags
b 6 1/4 bags
c 5 3/5 bags
d 6 1/12 bags
2 brittneys hair was 17 3/8 inches long. after a haircut, her hair was 12 5/6 inches long. how many inches were cut?
f 4 13/24 in.
g 4 11/24 in.
h 5 13/24 in.
j 5 11/24 in.
3 a cars tank holds 13 4/5 gallons of fuel. there are 4 1/3 gallons of fuel in the tank. how many gallons of fuel are needed to fill the tank?
a 9 7/15 gal
c 18 2/15 gal
b 9 1/5 gal
d 9 11/15 gal
4 deena buys a 3 - pound bag of mixed vegetables.
. the bag contains 1 1/8 pounds of potatoes.
. the bag contains 3/4 pound of broccoli.
. the rest of the vegetables in the bag are carrots.
how many pounds do the carrots weigh?
f 4 7/8 lb
g 2 7/8 lb
h 1 7/8 lb
j 1 1/8 lb
5 luis called grandma 4 days last week. three of the call times are shown.
calls to grandma

day	time (in minutes)
sunday	5 7/12
tuesday	8 1/3
wednesday
friday	9/4

luis and grandma talked for a total of 22 11/12 minutes last week. how many minutes did they talk on wednesday?
a 16 1/6 min
b 6 3/4 min
c 9 1/4 min
d 6 5/6 min

Explanation:

1.

Step1: Convert mixed - numbers to improper fractions

$3\frac{1}{4}=\frac{3\times4 + 1}{4}=\frac{13}{4}$ and $2\frac{5}{6}=\frac{2\times6+5}{6}=\frac{17}{6}$

Step2: Find a common denominator

The common denominator of 4 and 6 is 12. $\frac{13}{4}=\frac{13\times3}{4\times3}=\frac{39}{12}$ and $\frac{17}{6}=\frac{17\times2}{6\times2}=\frac{34}{12}$

Step3: Add the fractions

$\frac{39}{12}+\frac{34}{12}=\frac{39 + 34}{12}=\frac{73}{12}=6\frac{1}{12}$

Step1: Convert mixed - numbers to improper fractions

$17\frac{3}{8}=\frac{17\times8 + 3}{8}=\frac{139}{8}$ and $12\frac{5}{6}=\frac{12\times6+5}{6}=\frac{77}{6}$

Step2: Find a common denominator

The common denominator of 8 and 6 is 24. $\frac{139}{8}=\frac{139\times3}{8\times3}=\frac{417}{24}$ and $\frac{77}{6}=\frac{77\times4}{6\times4}=\frac{308}{24}$

Step3: Subtract the fractions

$\frac{417}{24}-\frac{308}{24}=\frac{417 - 308}{24}=\frac{109}{24}=4\frac{13}{24}$

Step1: Convert mixed - numbers to improper fractions

$13\frac{4}{5}=\frac{13\times5+4}{5}=\frac{69}{5}$ and $4\frac{1}{3}=\frac{4\times3 + 1}{3}=\frac{13}{3}$

Step2: Find a common denominator

The common denominator of 5 and 3 is 15. $\frac{69}{5}=\frac{69\times3}{5\times3}=\frac{207}{15}$ and $\frac{13}{3}=\frac{13\times5}{3\times5}=\frac{65}{15}$

Step3: Subtract the fractions

$\frac{207}{15}-\frac{65}{15}=\frac{207 - 65}{15}=\frac{142}{15}=9\frac{7}{15}$

Answer:

D. $6\frac{1}{12}$ bags

2.