Chapter 1: Q49. (page 9)

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

Short Answer

Expert verified

Expression $\frac{1}{y} + \frac{1}{w}$ results into $\frac{13}{6}$

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

- Substitute given values

Substitute $\frac{1}{2}$ for $y$ , 6 for $w$ into given expression

$\frac{1}{y} + \frac{1}{w} = \frac{1}{\frac{1}{2}} + \frac{1}{6}$

- Simplify 112+16

First take reciprocal of $y$ and $w$ , then take least common multiple of denominator and perform fraction addition as shown below

Reciprocal of $\frac{1}{2}$ is $\frac{2}{1}$ and of 6 is $\frac{1}{6}$

Least common multiple of 1 and 6 is 6

localid="1646745673704" $\begin{matrix} \frac{1}{\frac{1}{2}} + \frac{1}{6} = \frac{2}{1} + \frac{1}{6} \\ = \frac{12 + 1}{6} \\ = \frac{13}{6} \end{matrix}$

Thus, value of $\frac{1}{y} + \frac{1}{w}$ is $\frac{13}{6}$

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

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 112+16

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Evaluate each expression if w=6,x=0.4,y=12,and z=-31y+1w

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 112+16

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

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