Solve and Simplify the Equation: 35 ÷ (7×5) - (2 + 9 ÷ 3/2)

Question

$35:(7\cdot5)-(2+9:\frac{3}{2})=\text{?}$

00:12 Let's solve this problem together.

00:15 First, always solve what's inside the parentheses.

00:22 Remember, a negative times a positive number is always negative.

00:35 Dividing a number by itself? That's always one.

00:43 Think of division as multiplying by the reciprocal.

00:51 Now, move the multiplication up to the top.

00:59 Convert the fraction into a whole number.

01:04 And there you have it, that's the solution!

To solve this problem, we'll follow these steps according to the order of operations:

Now, let's solve the expression:

Step 1: Calculate the multiplication: $7 \cdot 5 = 35$ .

Step 2: Calculate the division: $9:\frac{3}{2} = 9 \times \frac{2}{3} = 6$ . We use the reciprocal of $\frac{3}{2}$ .

Step 3: Substitute back into the original expression: $35:35 - (2 + 6) = 35:35 - 8$ .

Step 4: Simplify the division: $35:35 = 1$ .

Step 5: Calculate the subtraction: $1 - 8 = -7$ .

Therefore, the solution to the problem is $-7$ .