Multiply and simplify. a) 36 1/12 b) 36 1/6 c) 41 1/12 or d) 41 1/6

1 Convert 12\frac{2}{3}12
3

2
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c

b
=
c

ac+b

\frac{12\times 3+2}{3}\times 3\frac{1}{4}
3

12×3+2
×3
4

1


2 Simplify 12\times 312×3 to 3636
\frac{36+2}{3}\times 3\frac{1}{4}
3

36+2
×3
4

1


3 Simplify 36+236+2 to 3838
\frac{38}{3}\times 3\frac{1}{4}
3

38
×3
4

1


4 Convert 3\frac{1}{4}3
4

1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c

b
=
c

ac+b

\frac{38}{3}\times \frac{3\times 4+1}{4}
3

38
×
4

3×4+1


5 Simplify 3\times 43×4 to 1212
\frac{38}{3}\times \frac{12+1}{4}
3

38
×
4

12+1


6 Simplify 12+112+1 to 1313
\frac{38}{3}\times \frac{13}{4}
3

38
×
4

13


7 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
b

a
×
d

c
=
bd

ac

\frac{38\times 13}{3\times 4}
3×4

38×13


8 Simplify 38\times 1338×13 to 494494
\frac{494}{3\times 4}
3×4

494


9 Simplify 3\times 43×4 to 1212
\frac{494}{12}
12

494


10 Simplify
\frac{247}{6}
6

247


11 Convert to mixed fraction
41\frac{1}{6}41
6

1

41 and 1/6