Master extends the game with fractions and roots. Its keypad lists complete expressions, such as 1/2 or 3/2. A key fills one square with that whole expression. You do not type a numerator, a slash and a denominator into three different blanks.
The keypad defines the search
Use only the choices displayed for that puzzle. Although 5/2 is a perfectly valid number, it cannot fill a blank unless it is offered. A bracketed sum may still evaluate to 5/2: for example, the available choices 2 and 1/2 can produce it together.
Keep values exact while reasoning
A third is not exactly 0.33. Replacing it with a rounded decimal can make a valid equation appear wrong. Work with 1/3, 2/3 and 3/2 as fractions. To add two halves, add their numerators: 1/2 + 3/2 = 4/2 = 2. To multiply, multiply numerators and denominators, then simplify.
A worked Master strategy
Consider (_ + _) × _ × 8 = 60. Undo the eight to get (a + b)c = 15/2. If the outside choice is 3/2, the bracket must be five. The pairs 1 + 4 and 2 + 3 work. If the outside choice is three, the bracket must be 5/2; use 1 + 3/2 or 2 + 1/2.
Each of these four arrangements produces 15/2 before the final multiplication by eight. This is more reliable than trying expression keys at random. The game checks the complete permitted choice set to establish its solution count.
Dividing by a fraction
Division by a nonzero fraction is multiplication by its reciprocal. Two divided by one-half is four, because four halves fit into two. Division by zero remains invalid, even on Master.
Try it
What is (1 + 1/2) × 4?
Show the exact calculation
Write one as 2/2. The bracket is 3/2, and (3/2) × 4 = 12/2 = 6. No rounding is required.
A final check should follow the printed brackets and operators exactly. Fractions broaden the possible values, but they do not change the order-of-operations rule.