<< Chapter < Page | Chapter >> Page > |
Model Addition of Mixed Numbers
In the following exercises, use a model to find the sum. Draw a picture to illustrate your model.
$1\frac{1}{5}+3\frac{1}{5}$
$1\frac{3}{8}+1\frac{7}{8}$
Add Mixed Numbers with a Common Denominator
In the following exercises, add.
$5\frac{1}{3}+6\frac{1}{3}$
$4\frac{5}{8}+9\frac{3}{8}$
$3\frac{4}{5}+6\frac{4}{5}$
$6\frac{9}{10}+8\frac{3}{10}$
Model Subtraction of Mixed Numbers
In the following exercises, use a model to find the difference. Draw a picture to illustrate your model.
$1\frac{1}{6}-\frac{5}{6}$
Subtract Mixed Numbers with a Common Denominator
In the following exercises, find the difference.
$2\frac{7}{8}-1\frac{3}{8}$
$8\frac{17}{20}-4\frac{9}{20}$
$8\frac{3}{7}-4\frac{4}{7}$
$2\frac{5}{8}-1\frac{7}{8}$
Add and Subtract Mixed Numbers with Different Denominators
In the following exercises, write the sum or difference as a mixed number in simplified form.
$3\frac{1}{4}+6\frac{1}{3}$
$1\frac{5}{8}+4\frac{1}{2}$
$9\frac{7}{10}-2\frac{1}{3}$
$2\frac{2}{3}-3\frac{1}{2}$
Mixed Practice
In the following exercises, perform the indicated operation and write the result as a mixed number in simplified form.
$2\frac{5}{8}\xb71\frac{3}{4}$
$\frac{2}{7}+\frac{4}{7}$
$1\frac{5}{12}\xf7\frac{1}{12}$
$13\frac{5}{12}-9\frac{7}{12}$
$\frac{5}{9}-\frac{4}{9}$
$4-\frac{3}{4}$
$\frac{9}{20}\xf7\frac{3}{4}$
$9\frac{6}{11}+7\frac{10}{11}$
$3\frac{2}{5}+5\frac{3}{4}$
$\frac{8}{15}\xb7\frac{10}{19}$
$6\frac{7}{8}-2\frac{1}{3}$
$5\frac{2}{9}-4\frac{4}{5}$
Sewing Renata is sewing matching shirts for her husband and son. According to the patterns she will use, she needs $2\frac{3}{8}$ yards of fabric for her husband’s shirt and $1\frac{1}{8}$ yards of fabric for her son’s shirt. How much fabric does she need to make both shirts?
Sewing Pauline has $3\frac{1}{4}$ yards of fabric to make a jacket. The jacket uses $2\frac{2}{3}$ yards. How much fabric will she have left after making the jacket?
$\frac{7}{12}\phantom{\rule{0.2em}{0ex}}\text{yards}$
Printing Nishant is printing invitations on his computer. The paper is $8\frac{1}{2}$ inches wide, and he sets the print area to have a $1\frac{1}{2}$ -inch border on each side. How wide is the print area on the sheet of paper?
Framing a picture Tessa bought a picture frame for her son’s graduation picture. The picture is $8$ inches wide. The picture frame is $2\frac{5}{8}$ inches wide on each side. How wide will the framed picture be?
$13\frac{1}{4}\phantom{\rule{0.2em}{0ex}}\text{inches}$
Draw a diagram and use it to explain how to add $1\frac{5}{8}+2\frac{7}{8}.$
Edgar will have to pay $\text{\$3.75}$ in tolls to drive to the city.
ⓐ Explain how he can make change from a $\text{\$10}$ bill before he leaves so that he has the exact amount he needs.
ⓑ How is Edgar’s situation similar to how you subtract $10-3\frac{3}{4}?$
Answers will vary.
Add $4\frac{5}{12}+3\frac{7}{8}$ twice, first by leaving them as mixed numbers and then by rewriting as improper fractions. Which method do you prefer, and why?
Subtract $3\frac{7}{8}-4\frac{5}{12}$ twice, first by leaving them as mixed numbers and then by rewriting as improper fractions. Which method do you prefer, and why?
Answers will vary.
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ After reviewing this checklist, what will you do to become confident for all objectives?
Notification Switch
Would you like to follow the 'Prealgebra' conversation and receive update notifications?