Answer: 15
Step-by-step explanation:
Convert 9\frac{1}{2}9
2
1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
.
\frac{9\times 2+1}{2}\div \frac{3}{5}
2
9×2+1
÷
5
3
2 Simplify 9\times 29×2 to 1818.
\frac{18+1}{2}\div \frac{3}{5}
2
18+1
÷
5
3
3 Simplify 18+118+1 to 1919.
\frac{19}{2}\div \frac{3}{5}
2
19
÷
5
3
4 Use this rule: a\div \frac{b}{c}=a\times \frac{c}{b}a÷
c
b
=a×
b
c
.
\frac{19}{2}\times \frac{5}{3}
2
19
×
3
5
5 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{19\times 5}{2\times 3}
2×3
19×5
6 Simplify 19\times 519×5 to 9595.
\frac{95}{2\times 3}
2×3
95
7 Simplify 2\times 32×3 to 66.
\frac{95}{6}
6
95
8 Convert to mixed fraction.
15\frac{5}{6}
15
6
5
