4.6 Add and subtract mixed numbers  (Page 4/4)

$1\frac{1}{5}+3\frac{1}{5}$

$2\frac{1}{3}+1\frac{1}{3}$

$1\frac{3}{8}+1\frac{7}{8}$

$1\frac{5}{6}+1\frac{5}{6}$

$5\frac{1}{3}+6\frac{1}{3}$

$2\frac{4}{9}+5\frac{1}{9}$

$4\frac{5}{8}+9\frac{3}{8}$

$7\frac{9}{10}+3\frac{1}{10}$

$3\frac{4}{5}+6\frac{4}{5}$

$9\frac{2}{3}+1\frac{2}{3}$

$6\frac{9}{10}+8\frac{3}{10}$

$8\frac{4}{9}+2\frac{8}{9}$

$1\frac{1}{6}-\frac{5}{6}$

$1\frac{1}{8}-\frac{5}{8}$

$2\frac{7}{8}-1\frac{3}{8}$

$2\frac{7}{12}-1\frac{5}{12}$

$8\frac{17}{20}-4\frac{9}{20}$

$19\frac{13}{15}-13\frac{7}{15}$

$8\frac{3}{7}-4\frac{4}{7}$

$5\frac{2}{9}-3\frac{4}{9}$

$2\frac{5}{8}-1\frac{7}{8}$

$2\frac{5}{12}-1\frac{7}{12}$

$3\frac{1}{4}+6\frac{1}{3}$

$2\frac{1}{6}+5\frac{3}{4}$

$1\frac{5}{8}+4\frac{1}{2}$

$7\frac{2}{3}+8\frac{1}{2}$

$9\frac{7}{10}-2\frac{1}{3}$

$6\frac{4}{5}-1\frac{1}{4}$

$2\frac{2}{3}-3\frac{1}{2}$

$2\frac{7}{8}-4\frac{1}{3}$

$2\frac{5}{8}·1\frac{3}{4}$

$1\frac{2}{3}·4\frac{1}{6}$

$\frac{2}{7}+\frac{4}{7}$

$\frac{2}{9}+\frac{5}{9}$

$1\frac{5}{12}÷\frac{1}{12}$

$2\frac{3}{10}÷\frac{1}{10}$

$13\frac{5}{12}-9\frac{7}{12}$

$15\frac{5}{8}-6\frac{7}{8}$

$\frac{5}{9}-\frac{4}{9}$

$\frac{11}{15}-\frac{7}{15}$

$4-\frac{3}{4}$

$6-\frac{2}{5}$

$\frac{9}{20}÷\frac{3}{4}$

$\frac{7}{24}÷\frac{14}{3}$

$9\frac{6}{11}+7\frac{10}{11}$

$8\frac{5}{13}+4\frac{9}{13}$

$3\frac{2}{5}+5\frac{3}{4}$

$2\frac{5}{6}+4\frac{1}{5}$

$\frac{8}{15}·\frac{10}{19}$

$\frac{5}{12}·\frac{8}{9}$

$6\frac{7}{8}-2\frac{1}{3}$

$6\frac{5}{9}-4\frac{2}{5}$

$5\frac{2}{9}-4\frac{4}{5}$

$4\frac{3}{8}-3\frac{2}{3}$

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?

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?

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 $10-3\frac{3}{4}?$

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?