Answer:8/9
Step-by-step explanation:1 Use this rule: a\div \frac{b}{c}=a\times \frac{c}{b}a÷
c
b
=a×
b
c
.
\frac{4}{15}\times \frac{10}{3}
15
4
×
3
10
2 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{4\times 10}{15\times 3}
15×3
4×10
3 Simplify 4\times 104×10 to 4040.
\frac{40}{15\times 3}
15×3
40
4 Simplify 15\times 315×3 to 4545.
\frac{40}{45}
45
40
5 Simplify.
\frac{8}{9}
9
8
1 Use this rule: a\div \frac{b}{c}=a\times \frac{c}{b}a÷
c
b
=a×
b
c
.
\frac{4}{15}\times \frac{10}{3}
15
4
×
3
10
2 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{4\times 10}{15\times 3}
15×3
4×10
3 Simplify 4\times 104×10 to 4040.
\frac{40}{15\times 3}
15×3
40
4 Simplify 15\times 315×3 to 4545.
\frac{40}{45}
45
40
5 Simplify.
\frac{8}{9}
9
8
1 Use this rule: a\div \frac{b}{c}=a\times \frac{c}{b}a÷
c
b
=a×
b
c
.
\frac{4}{15}\times \frac{10}{3}
15
4
×
3
10
2 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{4\times 10}{15\times 3}
15×3
4×10
3 Simplify 4\times 104×10 to 4040.
\frac{40}{15\times 3}
15×3
40
4 Simplify 15\times 315×3 to 4545.
\frac{40}{45}
45
40
5 Simplify.
\frac{8}{9}
9
8