Question

Evaluate the expression$\frac{9.8+2.2}{7-5}$.

Short answer

The value of expression is 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 – Simplify numerator and denominator

The expression is provided as$\frac{9.8+2.2}{7-5}$

To evaluate the expression, add 9.8 with 2.2 in the numerator and subtract 5 from 7 in the denominator as shown

$\begin{array}{c}\frac{9.8+2.2}{7-5}=\frac{12}{7-5}\\ =\frac{12}{2}\end{array}$

Step-3 – Divide the numbers

To simplify further, divide the resulting numbers to get

$\begin{array}{c}\frac{9.8+2.2}{7-5}=\frac{12}{2}\\ =6\end{array}$

So, the value of the expression is 6.