Basic Math Examples

\frac{73 (km)}{hr} \cdot (t o) \frac{cm}{s}

$\frac{73 (km)}{hr} \cdot (t o) \frac{cm}{s}$

Step 1

Convert

cm

$cm$ to

km

$km$ .

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Step 1.1

Convert

cm

$cm$ to

km

$km$ .

\frac{73 (km)}{hr} \cdot (t o (\frac{cm}{s} \times \frac{1 m}{100 cm} \times \frac{1 km}{1000 m}))

$\frac{73 (km)}{hr} \cdot (t o (\frac{cm}{s} \times \frac{1 m}{100 cm} \times \frac{1 km}{1000 m}))$

Step 1.2

Cancel the common units and simplify.

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Step 1.2.1

Cross cancel units.

\frac{73 (km)}{hr} \cdot (t o (\frac{cm}{s} \times \frac{1 m}{100 cm} \times \frac{1 km}{1000 m}))

$\frac{73 (km)}{hr} \cdot (t o (\frac{cm}{s} \times \frac{1 m}{100 cm} \times \frac{1 km}{1000 m}))$

Step 1.2.2

Simplify the expression.

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Step 1.2.2.1

Remove the canceled units.

\frac{73 (km)}{hr} \cdot (t o (\frac{1}{s} \times \frac{1}{100} \times \frac{1 km}{1000}))

$\frac{73 (km)}{hr} \cdot (t o (\frac{1}{s} \times \frac{1}{100} \times \frac{1 km}{1000}))$

Step 1.2.2.2

Combine fractions.

\frac{73 (km)}{hr} \cdot (t o (\frac{1}{100 \cdot 1000} \frac{km}{s}))

$\frac{73 (km)}{hr} \cdot (t o (\frac{1}{100 \cdot 1000} \frac{km}{s}))$

Step 1.2.2.3

Multiply

100

$100$ by

1000

$1000$ .

\frac{73 (km)}{hr} \cdot (t o (\frac{1}{100000} \frac{km}{s}))

$\frac{73 (km)}{hr} \cdot (t o (\frac{1}{100000} \frac{km}{s}))$

\frac{73 (km)}{hr} \cdot (t o (\frac{1}{100000} \frac{km}{s}))

$\frac{73 (km)}{hr} \cdot (t o (\frac{1}{100000} \frac{km}{s}))$

Step 1.2.3

Convert to decimal.

\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s}))

$\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s}))$

\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s}))

$\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s}))$

\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s}))

$\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s}))$

Step 2

Convert

s

$s$ to

hr

$hr$ .

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Step 2.1

Convert

s

$s$ to

hr

$hr$ .

\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s} \times \frac{60 s}{1 \min} \times \frac{60 \min}{1 hr}))

$\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s} \times \frac{60 s}{1 \min} \times \frac{60 \min}{1 hr}))$

Step 2.2

Cancel the common units and simplify.

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Step 2.2.1

Cross cancel units.

\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s} \times \frac{60 s}{1 \min} \times \frac{60 \min}{1 hr}))

$\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{s} \times \frac{60 s}{1 \min} \times \frac{60 \min}{1 hr}))$

Step 2.2.2

Simplify the expression.

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Step 2.2.2.1

Remove the canceled units.

\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{1} \times \frac{60}{1} \times \frac{60}{1 hr}))

$\frac{73 (km)}{hr} \cdot (t o (0.00001 \frac{km}{1} \times \frac{60}{1} \times \frac{60}{1 hr}))$

Step 2.2.2.2

Combine fractions.

\frac{73 (km)}{hr} \cdot (t o (0.036 \frac{km}{hr}))

$\frac{73 (km)}{hr} \cdot (t o (0.036 \frac{km}{hr}))$

\frac{73 (km)}{hr} \cdot (t o (0.036 \frac{km}{hr}))

$\frac{73 (km)}{hr} \cdot (t o (0.036 \frac{km}{hr}))$

\frac{73 (km)}{hr} \cdot (t o (0.036 \frac{km}{hr}))

$\frac{73 (km)}{hr} \cdot (t o (0.036 \frac{km}{hr}))$

\frac{73 (km)}{hr} \cdot (t o (0.036 \frac{km}{hr}))

$\frac{73 (km)}{hr} \cdot (t o (0.036 \frac{km}{hr}))$

Step 3

Combine fractions.

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Step 3.1

Combine

\frac{73 km}{hr}

$\frac{73 km}{hr}$ and

t o (0.036 \frac{km}{hr})

$t o (0.036 \frac{km}{hr})$ .

73 (t o \cdot (0.036)) \frac{km \frac{km}{hr}}{hr}

$73 (t o \cdot (0.036)) \frac{km \frac{km}{hr}}{hr}$

Step 3.2

Combine fractions.

2.628 t o \frac{km \frac{km}{hr}}{hr}

$2.628 t o \frac{km \frac{km}{hr}}{hr}$

Step 3.3

Factor

\frac{km}{hr}

$\frac{km}{hr}$ out of

\frac{km \frac{km}{hr}}{hr}

$\frac{km \frac{km}{hr}}{hr}$ .

2.628 t o (\frac{km}{hr} \frac{km}{hr})

$2.628 t o (\frac{km}{hr} \frac{km}{hr})$

Step 3.4

Combine fractions.

2.628 t o \frac{km km}{hr hr}

$2.628 t o \frac{km km}{hr hr}$

2.628 t o \frac{km km}{hr hr}

$2.628 t o \frac{km km}{hr hr}$

Step 4

Simplify the numerator.

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Step 4.1

Raise

km

$km$ to the power of

1

$1$ .

2.628 t o \frac{{km}^{1} km}{hr hr}

$2.628 t o \frac{{km}^{1} km}{hr hr}$

Step 4.2

Raise

km

$km$ to the power of

1

$1$ .

2.628 t o \frac{{km}^{1} {km}^{1}}{hr hr}

$2.628 t o \frac{{km}^{1} {km}^{1}}{hr hr}$

Step 4.3

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

2.628 t o \frac{{km}^{1 + 1}}{hr hr}

$2.628 t o \frac{{km}^{1 + 1}}{hr hr}$

Step 4.4

Add

1

$1$ and

1

$1$ .

2.628 t o \frac{{km}^{2}}{hr hr}

$2.628 t o \frac{{km}^{2}}{hr hr}$

2.628 t o \frac{{km}^{2}}{hr hr}

$2.628 t o \frac{{km}^{2}}{hr hr}$

Step 5

Simplify the denominator.

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Step 5.1

Raise

hr

$hr$ to the power of

1

$1$ .

2.628 t o \frac{{km}^{2}}{{hr}^{1} hr}

$2.628 t o \frac{{km}^{2}}{{hr}^{1} hr}$

Step 5.2

Raise

hr

$hr$ to the power of

1

$1$ .

2.628 t o \frac{{km}^{2}}{{hr}^{1} {hr}^{1}}

$2.628 t o \frac{{km}^{2}}{{hr}^{1} {hr}^{1}}$

Step 5.3

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

2.628 t o \frac{{km}^{2}}{{hr}^{1 + 1}}

$2.628 t o \frac{{km}^{2}}{{hr}^{1 + 1}}$

Step 5.4

Add

1

$1$ and

1

$1$ .

2.628 t o \frac{{km}^{2}}{{hr}^{2}}

$2.628 t o \frac{{km}^{2}}{{hr}^{2}}$

2.628 t o \frac{{km}^{2}}{{hr}^{2}}

$2.628 t o \frac{{km}^{2}}{{hr}^{2}}$