Answer:
15 9/25
Explanation:
1 Convert 2\frac{2}{5}2
5
2
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
.
\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}
5
2×5+2
×2×3
5
1
2 Simplify 2\times 52×5 to 1010.
\frac{10+2}{5}\times 2\times 3\frac{1}{5}
5
10+2
×2×3
5
1
3 Simplify 10+210+2 to 1212.
\frac{12}{5}\times 2\times 3\frac{1}{5}
5
12
×2×3
5
1
4 Convert 3\frac{1}{5}3
5
1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
.
\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}
5
12
×2×
5
3×5+1
5 Simplify 3\times 53×5 to 1515.
\frac{12}{5}\times 2\times \frac{15+1}{5}
5
12
×2×
5
15+1
6 Simplify 15+115+1 to 1616.
\frac{12}{5}\times 2\times \frac{16}{5}
5
12
×2×
5
16
7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{12\times 2\times 16}{5\times 5}
5×5
12×2×16
8 Simplify 12\times 212×2 to 2424.
\frac{24\times 16}{5\times 5}
5×5
24×16
9 Simplify 24\times 1624×16 to 384384.
\frac{384}{5\times 5}
5×5
384
10 Simplify 5\times 55×5 to 2525.
\frac{384}{25}
25
384
11 Convert to mixed fraction.
15\frac{9}{25}
15 9/25