Simplify the following expression.
4(20+12)÷(5−3) show your work
4(20+12)÷(5−3)
First, evaluate 20+12 inside the parentheses:
= 4(32)÷(5−3)
Next, subtract 5−3:
= 4(32)÷2
Next, multiply 4 by 32:
= 128÷2
Finally, divide 128 by 2:
= 64
Therefore, the simplified expression is 64.
To simplify the expression 4(20+12)÷(5−3), follow these steps:
Step 1: Simplify the brackets.
20 + 12 = 32
The expression becomes: 4(32) ÷ (5-3)
Step 2: Evaluate the subtraction inside the brackets.
5 - 3 = 2
The expression now becomes: 4(32) ÷ 2
Step 3: Multiply the number outside the brackets by the number inside the brackets.
4(32) = 128
The expression becomes: 128 ÷ 2
Step 4: Divide the number obtained in the previous step by the number after the division sign.
128 ÷ 2 = 64
So, the simplified expression is 64.