Question

Evaluate the expression.

$\frac{70-9.20}{3+5}$

Short answer

The value of the expression is7.6.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Solve the expressions in numerator and denominator

In order to evaluate the given expression, first evaluate the expression on the numerator and denominator. First subtract the numbers in numerator and then add the numbers on denominator to get

$\begin{array}{l}\frac{70-9.20}{3+5}\\ =\frac{60.8}{3+5}\\ =\frac{60.8}{8}\end{array}$

Step-3 – Divide the numbers

Now to simplify further, divide the resulting numbers to get

$\begin{array}{l}\frac{60.8}{8}\\ =7.6\end{array}$

Thus, the value of the expression is 7.6.