Question

adding and subtracting fractions mixed review
why did the boy sheep plunge off a cliff
while chasing the girl sheep?
for each exercise, write an estimate of the answer. on the number line under the exercise, find a point near your estimate. write the letter of the exercise on the number line at that point.
n (3\frac{9}{10}+2\frac{13}{18}) s (1\frac{1}{8}+\frac{11}{13}) t (2\frac{4}{9}+5\frac{1}{2})
r (3\frac{11}{12}+7\frac{3}{8}) d (5\frac{1}{3}-1\frac{3}{7}) h (12\frac{5}{6}-11\frac{8}{9})
i (1\frac{3}{4}+3\frac{3}{16}+\frac{1}{9}) s (3\frac{7}{10}+4\frac{1}{15}+2\frac{2}{13})
e betsy needed some fabric to make bags. she bought (4\frac{1}{8}) yd of red fabric, (4\frac{3}{5}) yd of white fabric, and (3\frac{1}{4}) yd of blue fabric. about how much fabric did she buy altogether?
____ yd
d diane went salmon fishing with her father. diane caught a fish that weighed (16\frac{3}{8}) lb. her father caught one that weighed (10\frac{1}{16}) lb. about how much heavier was dianes fish?
____ lb
e (12\frac{1}{5}+8\frac{2}{11}) t (3\frac{5}{12}+10\frac{4}{7}) u (7\frac{1}{6}+15\frac{7}{9})
n (27\frac{7}{8}-2\frac{4}{5}) e (20\frac{3}{10}-4\frac{1}{3}) w (59\frac{9}{16}-40\frac{1}{2})
h (9\frac{2}{3}+\frac{3}{20}+5\frac{1}{4}) t (11\frac{6}{7}+(13\frac{1}{5}-3\frac{1}{11}))
r a plumber had a piece of pipe that was (27\frac{7}{8}) in. long. he cut off a piece (3\frac{3}{4}) in. long and used it to repair the sink. about how long was the remaining piece of pipe?
____ in.
e mario is training for the track team. he ran (4\frac{1}{4}) mi on monday, (5\frac{9}{10}) mi on wednesday, and (7\frac{4}{5}) mi on friday. about how far did he run altogether on the three days?
____ mi

Explanation:

Step1: Convert mixed numbers to improper fractions

$3\frac{9}{10}=\frac{3\times10 + 9}{10}=\frac{39}{10}$, $2\frac{13}{18}=\frac{2\times18 + 13}{18}=\frac{49}{18}$

Step2: Find a common denominator

LCM(10, 18)=90, $\frac{39}{10}=\frac{39\times9}{90}$, $\frac{49}{18}=\frac{49\times5}{90}$

Step3: Add the fractions

$\frac{351}{90}+\frac{245}{90}=\frac{351+245}{90}=\frac{596}{90}$, simplify to $\frac{298}{45}=6\frac{28}{45}$

Answer:

Since you haven't specified which particular problem from the image to solve (there are multiple fraction - addition and subtraction problems), I'll take the first one as an example: $3\frac{9}{10}+2\frac{13}{18}$

First, convert the mixed numbers to improper fractions:
$3\frac{9}{10}=\frac{3\times10 + 9}{10}=\frac{39}{10}$
$2\frac{13}{18}=\frac{2\times18+13}{18}=\frac{36 + 13}{18}=\frac{49}{18}$

Then find a common denominator. The least - common multiple of 10 and 18 is 90.
$\frac{39}{10}=\frac{39\times9}{10\times9}=\frac{351}{90}$
$\frac{49}{18}=\frac{49\times5}{18\times5}=\frac{245}{90}$

Now add the fractions:
$\frac{351}{90}+\frac{245}{90}=\frac{351 + 245}{90}=\frac{596}{90}=\frac{298}{45}=6\frac{28}{45}$