Basic Math Examples

2400 \div 4 \frac{3}{4}

$2400 \div 4 \frac{3}{4}$

Step 1

Convert

4 \frac{3}{4}

$4 \frac{3}{4}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

2400 \div (4 + \frac{3}{4})

$2400 \div (4 + \frac{3}{4})$

Step 1.2

Add

4

$4$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

2400 \div (4 \cdot \frac{4}{4} + \frac{3}{4})

$2400 \div (4 \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine

4

$4$ and

\frac{4}{4}

$\frac{4}{4}$ .

2400 \div (\frac{4 \cdot 4}{4} + \frac{3}{4})

$2400 \div (\frac{4 \cdot 4}{4} + \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

2400 \div \frac{4 \cdot 4 + 3}{4}

$2400 \div \frac{4 \cdot 4 + 3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

4

$4$ by

4

$4$ .

2400 \div \frac{16 + 3}{4}

$2400 \div \frac{16 + 3}{4}$

Step 1.2.4.2

Add

16

$16$ and

3

$3$ .

2400 \div \frac{19}{4}

$2400 \div \frac{19}{4}$

2400 \div \frac{19}{4}

$2400 \div \frac{19}{4}$

2400 \div \frac{19}{4}

$2400 \div \frac{19}{4}$

2400 \div \frac{19}{4}

$2400 \div \frac{19}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

2400 (\frac{4}{19})

$2400 (\frac{4}{19})$

Step 3

Multiply

2400 (\frac{4}{19})

$2400 (\frac{4}{19})$ .

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Step 3.1

Combine

2400

$2400$ and

\frac{4}{19}

$\frac{4}{19}$ .

\frac{2400 \cdot 4}{19}

$\frac{2400 \cdot 4}{19}$

Step 3.2

Multiply

2400

$2400$ by

4

$4$ .

\frac{9600}{19}

$\frac{9600}{19}$

\frac{9600}{19}

$\frac{9600}{19}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{9600}{19}

$\frac{9600}{19}$

Decimal Form:

505.26315789 \dots

$505.26315789 \dots$

Mixed Number Form:

505 \frac{5}{19}

$505 \frac{5}{19}$