Basic Math Examples

\frac{18.8 - 21.1}{\frac{3.65}{\sqrt{25}}}

$\frac{18.8 - 21.1}{\frac{3.65}{\sqrt{25}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

(18.8 - 21.1) \frac{\sqrt{25}}{3.65}

$(18.8 - 21.1) \frac{\sqrt{25}}{3.65}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

(18.8 - 21.1) \frac{\sqrt{5^{2}}}{3.65}

$(18.8 - 21.1) \frac{\sqrt{5^{2}}}{3.65}$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

(18.8 - 21.1) \frac{5}{3.65}

$(18.8 - 21.1) \frac{5}{3.65}$

(18.8 - 21.1) \frac{5}{3.65}

$(18.8 - 21.1) \frac{5}{3.65}$

Step 3

Simplify the expression.

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Step 3.1

Subtract

21.1

$21.1$ from

18.8

$18.8$ .

- 2.3 (\frac{5}{3.65})

$- 2.3 (\frac{5}{3.65})$

Step 3.2

Divide

5

$5$ by

3.65

$3.65$ .

- 2.3 \cdot 1.36986301

$- 2.3 \cdot 1.36986301$

Step 3.3

Multiply

- 2.3

$- 2.3$ by

1.36986301

$1.36986301$ .

- 3.15068493

$- 3.15068493$

- 3.15068493

$- 3.15068493$