Solve 3:4×(7-1)+3: Order of Operations Practice Problem

The colon symbol means division! So $3:4$ is the same as $3 ÷ 4$ or $\frac{3}{4}$. It's just a different way to write division.

Parentheses always come first in PEMDAS! Even if there's multiplication or division nearby, you must solve what's inside the parentheses before doing anything else. So (7-1) = 6 comes before any other operations.

Multiply the numerator by the whole number: $\frac{3 \times 6}{4} = \frac{18}{4}$. Then simplify: $\frac{18}{4} = 4\frac{1}{2}$

Just add the whole number parts together! $4\frac{1}{2} + 3 = 7\frac{1}{2}$. The fraction part stays the same when adding whole numbers.

Go through each step slowly: (7-1) = 6, then $\frac{3}{4} \times 6 = \frac{18}{4} = 4\frac{1}{2}$, finally $4\frac{1}{2} + 3 = 7\frac{1}{2}$. Check that you followed PEMDAS order!