Question

Multiply and simplify. A) 36 1/12 B) 36 1/6 C) 41 1/12 or D) 41 1/6

Answer 1

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