4.6 Add and Subtract Mixed Numbers

Change $\frac{11}{4}$ to a mixed number.
If you missed this problem, review the reference.

Change $3 \frac{1}{2}$ to an improper fraction.
If you missed this problem, review the reference.

Find the sum: $4 \frac{4}{7} + 1 \frac{2}{7} .$

Find the sum: $2 \frac{3}{11} + 5 \frac{6}{11} .$

Find the sum: $9 \frac{5}{9} + 5 \frac{7}{9} .$

Find the sum: $8 \frac{7}{8} + 7 \frac{5}{8} .$

Find the sum: $6 \frac{7}{9} + 8 \frac{5}{9} .$

Add by converting the mixed numbers to improper fractions: $3 \frac{7}{8} + 4 \frac{3}{8} .$

Find the sum by converting the mixed numbers to improper fractions:

$5 \frac{5}{9} + 3 \frac{7}{9} .$

Find the sum by converting the mixed numbers to improper fractions:

$3 \frac{7}{10} + 2 \frac{9}{10} .$

Find the difference: $6 \frac{4}{9} - 3 \frac{7}{9} .$

Find the difference: $4 \frac{4}{7} - 2 \frac{6}{7} .$

Find the difference by converting to improper fractions:

$9 \frac{6}{11} - 7 \frac{10}{11} .$

Find the difference by converting the mixed numbers to improper fractions:

$6 \frac{4}{9} - 3 \frac{7}{9} .$

Find the difference by converting the mixed numbers to improper fractions:

$4 \frac{4}{7} - 2 \frac{6}{7} .$

Add: $1 \frac{5}{6} + 4 \frac{3}{4} .$

Add: $3 \frac{4}{5} + 8 \frac{1}{2} .$

Find the difference: $8 \frac{1}{2} - 3 \frac{4}{5} .$

Find the difference: $4 \frac{3}{4} - 1 \frac{5}{6} .$

Subtract: $3 \frac{5}{11} - 4 \frac{3}{4} .$

Subtract: $1 \frac{3}{4} - 6 \frac{7}{8} .$

Subtract: $10 \frac{3}{7} - 22 \frac{4}{9} .$

Add.

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

Add.

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

Add.

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

Add.

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

Find the difference.

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

Find the difference.

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

Find the difference.

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

Find the difference.

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

Write the sum or difference as a mixed number in simplified form.

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

Write the sum or difference as a mixed number in simplified form.

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

Write the sum or difference as a mixed number in simplified form.

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

Write the sum or difference as a mixed number in simplified form.

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

Perform the indicated operation and write the result as a mixed number in simplified form.

$1 \frac{2}{3} \cdot 4 \frac{1}{6}$

Perform the indicated operation and write the result as a mixed number in simplified form.

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

Perform the indicated operation and write the result as a mixed number in simplified form.

$2 \frac{3}{10} \div \frac{1}{10}$

Perform the indicated operation and write the result as a mixed number in simplified form.

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

Perform the indicated operation and write the result as a mixed number in simplified form.

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

Perform the indicated operation and write the result as a mixed number in simplified form.

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

Perform the indicated operation and write the result as a mixed number in simplified form.

$\frac{7}{24} \div \frac{14}{3}$

Perform the indicated operation and write the result as a mixed number in simplified form.

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

Perform the indicated operation and write the result as a mixed number in simplified form.

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

Perform the indicated operation and write the result as a mixed number in simplified form.

$\frac{5}{12} \cdot \frac{8}{9}$

Perform the indicated operation and write the result as a mixed number in simplified form.

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

Perform the indicated operation and write the result as a mixed number in simplified form.

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

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?

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?

Edgar will have to pay $\$ 3.75$ in tolls to drive to the city.

ⓐ Explain how he can make change from a $\$ 10$ bill before he leaves so that he has the exact amount he needs.

ⓑ How is Edgar’s situation similar to how you subtract $10 - 3 \frac{3}{4} ?$

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?