Basic Math Examples

$\frac{40 m}{s} \cdot (4 s) \div 85 ms$

Step 1

Start simplifying.

$\frac{40 m}{s} \cdot 4 s \div 85 ms$

Step 2

Convert $ms$ to $s$ .

$\frac{40 m}{s} \cdot 4 s \div 85 ms \times \frac{1000 ms}{1 s}$

Step 3

Cancel the common units and simplify.

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Step 3.1

Cross cancel units.

$\frac{40 m}{s} \cdot 4 s \div 85 ms \times \frac{1000 ms}{1 s}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Remove the canceled units.

$\frac{\frac{40 m}{s} \cdot 4}{85} \times \frac{1000}{1}$

Step 3.2.2

Combine fractions.

$\frac{40 \cdot 4 \cdot 1000}{85} \frac{m}{s}$

Step 3.2.3

Cancel the common factor of $40$ and $85$ .

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Step 3.2.3.1

Factor $5$ out of $40 \cdot 4 \cdot 1000$ .

$\frac{5 (8 \cdot 4 \cdot 1000)}{85} \frac{m}{s}$

Step 3.2.3.2

Cancel the common factors.

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Step 3.2.3.2.1

Factor $5$ out of $85$ .

$\frac{5 (8 \cdot 4 \cdot 1000)}{5 (17)} \frac{m}{s}$

Step 3.2.3.2.2

Cancel the common factor.

$\frac{5 (8 \cdot 4 \cdot 1000)}{5 \cdot 17} \frac{m}{s}$

Step 3.2.3.2.3

Rewrite the expression.

$\frac{8 \cdot 4 \cdot 1000}{17} \frac{m}{s}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $8$ by $4$ .

$\frac{32 \cdot 1000}{17} \frac{m}{s}$

Step 3.2.4.2

Multiply $32$ by $1000$ .

$\frac{32000}{17} \frac{m}{s}$

Step 3.3

Convert to decimal.

$1882.35294117 \frac{m}{s}$