Example Question - arithmetic expression solving
Here are examples of questions we've helped users solve.
Solving a Complex Arithmetic Expression
To solve the expression given in the image, follow the order of operations, commonly remembered by the acronym PEMDAS (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right). The expression to solve is: \[ 4 \times \frac{10 - 27 \times 2}{1+1 \times 5} \div \frac{6}{3} \] Step 1: Solve multiplication and divisions as they appear from left to right. For the numerator of the fraction: \[ 27 \times 2 = 54 \] Step 2: Continue with the subtraction in the numerator and the addition in the denominator: For the numerator: \[ 10 - 54 = -44 \] For the denominator: \[ 1 + 1 \times 5 = 1 + 5 = 6 \] Step 3: Now you have the fraction: \[ 4 \times \frac{-44}{6} \] However, the division by 6 is not finished yet. At this point, divide 6 into the numerator -44: \[ \frac{-44}{6} = -\frac{44}{6} = -\frac{22}{3} \] Step 4: Now multiply 4 by the result of the fraction: \[ 4 \times -\frac{22}{3} \] Divide 4 by 3 before multiplying to simplify the computation: \[ \frac{4}{3} \times -22 = -\frac{88}{3} \] Step 5: Solve the division by the fraction \(\frac{6}{3}\): \[ \frac{6}{3} = 2 \] Step 6: Now put together the multiplication and the division: \[ -\frac{88}{3} \div 2 = -\frac{88}{3} \times \frac{1}{2} = -\frac{88}{6} \] Step 7: Simplify the fraction by dividing both the numerator and the denominator by 2: \[ -\frac{88}{6} = -\frac{44}{3} \] Thus, the answer to the given expression is: \[ -\frac{44}{3} \] or in decimal form: \[ -14.67 \] (rounded to two decimal places)
Solving an Arithmetic Expression using PEMDAS
The expression in the image is "6 ÷ 2(1+2)." To solve this, you should follow the order of operations, which is commonly known by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's solve it step by step: 1. Calculate the expression inside the parentheses first. 1 + 2 = 3 2. The expression now is "6 ÷ 2 * 3." Next, you perform multiplication and division from left to right. 6 ÷ 2 = 3 3. Now multiply this result by the number you obtained from the parentheses. 3 * 3 = 9 Therefore, the answer to the expression is 9.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com