- Thread starter
- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,861

Suppose

If

Show by example that if

then

let

$$a=3 \quad b=5 \quad c=15$$

then

$$\frac{15}{3\cdot 5}=1$$

let

$$a=4 \quad b=6 \quad c=15$$

then

$$\frac{15}{4\cdot 6}\quad\textit{not an interger}$$

my feeble attempt

**a**and**b**are integers that divide the integer**c**If

**a**and**b**are relatively prime, show that**$ab / c$**Show by example that if

**a**and**b**are not relatively prime,then

**ab**need not divide**c**let

$$a=3 \quad b=5 \quad c=15$$

then

$$\frac{15}{3\cdot 5}=1$$

let

$$a=4 \quad b=6 \quad c=15$$

then

$$\frac{15}{4\cdot 6}\quad\textit{not an interger}$$

my feeble attempt

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