Question

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$and $z=-3$

$\frac{5wx}{z}$

Short answer

Expression $\frac{5wx}{z}$ results into $-4$

Step-by-step solution

- Order of simplification

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 [ ] or fraction
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

- Substitute given values

Substitute 6 for $w$, $-3$for $z$and $0.4$for$x$ into given expression

$\frac{5wx}{z}=\frac{5\times 6\times 0.4}{\left(-3\right)}$

- Simplify 5×6×0.4-3

First multiply the terms of numerator and then divide it with denominator term as shown below

$\begin{array}{c}\frac{5\times 6\times 0.4}{\left(-3\right)}=\frac{12}{\left(-3\right)}\\ =-4\end{array}$

Thus, value of$\frac{5wx}{z}$is $-4$