1. A fraction’s value is the quotient obtained by dividing the numerator by the denominator.

62 = 3 3 is the value of 62

23 = 23 23 is the value of 23

2. Multiplying the denominator of a fraction divides the fraction by that number.

12 × 4 = 18 37 × 3 = 321 23 × 9 = 227

3. Dividing the denominator of a fraction multiplies the fraction by that number.

38 ÷ 4 = 32 109 ÷ 3 = 103 310 ÷ 5 = 32

4. Multiplying the numerator of a fraction multiplies the fraction by that number.

23 × 2 = 43 19 × 8 = 89 58 × 3 = 158

5. Dividing the numerator of a fraction divides the fraction by that number.