Question

dividing integers
now we can divide any integer by any other integer except 0. all we have to do is write
a fraction with the dividend (the number we are dividing into) as the numerator (top) and
the divisor (the number we are dividing by) as the denominator (bottom).
$10 \div 3 = \frac{10}{3}$
do each division problem. if the divisor goes evenly into the dividend, write your answer
as an integer. otherwise, write it as a fraction.
$12 \div -2 = -6$
$15 \div 3 =$
$15 \div 4 =$
$-8 \div -3 =$
$40 \div 7 = \frac{40}{7}$
$-7 \div 2 =$
$1 \div -6 =$
$54 \div 7 =$
$-3 \div 5 =$
$-45 \div -9 =$
$-7 \div 6 =$
$-2 \div 19 =$
a fraction can be positive or negative. to find the sign, just follow the rules for division.
when division is written using a fraction bar, the rules look like this:
$\frac{positive}{positive} = positive$
$\frac{negative}{positive} = negative$
$\frac{positive}{negative} = negative$
$\frac{negative}{negative} = positive$
if a fraction is positive, we will write it with no signs. if a fraction is negative, we will write it
with the negative sign on top.
$\frac{^{-3}}{^{-4}}$ is positive, so we will write $\frac{3}{4}$.
$\frac{3}{^{-4}}$ is negative, so we will write $\frac{^{-3}}{4}$.
do each division problem. write your answer as a positive or negative fraction.
$13 \div -3 = \frac{-13}{3}$
$-4 \div -7 =$
$15 \div -2 =$
$18 \div -5 =$
$-3 \div 10 =$
$1 \div -5 =$
$-1 \div 9 =$
$40 \div 29 =$
$-9 \div -10 =$
$9 \div -5 =$
$12 \div -7 =$
$-3 \div -100 =$
$12 \div 11 =$
$4 \div 5 =$
$-9 \div -14 =$
$-20 \div 7 =$
2

Explanation:

Step1: Solve first set (integer/fraction)

1. $15\div3$: Divisor divides evenly

$15\div3=5$

2. $15\div4$: No even division, write as fraction

$15\div4=\frac{15}{4}$

3. $-8\div-3$: Same sign = positive fraction

$-8\div-3=\frac{8}{3}$

4. $-7\div2$: Opposite signs = negative fraction

$-7\div2=\frac{-7}{2}$

5. $1\div-6$: Opposite signs = negative fraction

$1\div-6=\frac{-1}{6}$

6. $54\div7$: No even division, positive fraction

$54\div7=\frac{54}{7}$

7. $-3\div5$: Opposite signs = negative fraction

$-3\div5=\frac{-3}{5}$

8. $-45\div-9$: Same sign, even division

$-45\div-9=5$

9. $-7\div6$: Opposite signs = negative fraction

$-7\div6=\frac{-7}{6}$

10. $-2\div19$: Opposite signs = negative fraction

$-2\div19=\frac{-2}{19}$

Step2: Solve second set (signed fractions)

1. $-4\div-7$: Same sign = positive fraction

$-4\div-7=\frac{4}{7}$

2. $15\div-2$: Opposite signs = negative fraction

$15\div-2=\frac{-15}{2}$

3. $18\div-5$: Opposite signs = negative fraction

$18\div-5=\frac{-18}{5}$

4. $-3\div10$: Opposite signs = negative fraction

$-3\div10=\frac{-3}{10}$

5. $1\div-5$: Opposite signs = negative fraction

$1\div-5=\frac{-1}{5}$

6. $-1\div9$: Opposite signs = negative fraction

$-1\div9=\frac{-1}{9}$

7. $40\div29$: Same sign = positive fraction

$40\div29=\frac{40}{29}$

8. $-9\div-10$: Same sign = positive fraction

$-9\div-10=\frac{9}{10}$

9. $9\div-5$: Opposite signs = negative fraction

$9\div-5=\frac{-9}{5}$

10. $12\div-7$: Opposite signs = negative fraction

$12\div-7=\frac{-12}{7}$

11. $-3\div-100$: Same sign = positive fraction

$-3\div-100=\frac{3}{100}$

12. $12\div11$: Same sign = positive fraction

$12\div11=\frac{12}{11}$

13. $4\div5$: Same sign = positive fraction

$4\div5=\frac{4}{5}$

14. $-9\div-14$: Same sign = positive fraction

$-9\div-14=\frac{9}{14}$

15. $-20\div7$: Opposite signs = negative fraction

$-20\div7=\frac{-20}{7}$

Answer:

First set (top to bottom, left to right):

1. $5$
2. $\frac{15}{4}$
3. $\frac{8}{3}$
4. $\frac{-7}{2}$
5. $\frac{-1}{6}$
6. $\frac{54}{7}$
7. $\frac{-3}{5}$
8. $5$
9. $\frac{-7}{6}$
10. $\frac{-2}{19}$

Second set (top to bottom, left to right):

1. $\frac{4}{7}$
2. $\frac{-15}{2}$
3. $\frac{-18}{5}$
4. $\frac{-3}{10}$
5. $\frac{-1}{5}$
6. $\frac{-1}{9}$
7. $\frac{40}{29}$
8. $\frac{9}{10}$
9. $\frac{-9}{5}$
10. $\frac{-12}{7}$
11. $\frac{3}{100}$
12. $\frac{12}{11}$
13. $\frac{4}{5}$
14. $\frac{9}{14}$
15. $\frac{-20}{7}$