Basic Math Examples

\frac{57}{1 \frac{1}{2}}

$\frac{57}{1 \frac{1}{2}}$

Step 1

Convert

1 \frac{1}{2}

$1 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

\frac{57}{1 + \frac{1}{2}}

$\frac{57}{1 + \frac{1}{2}}$

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{57}{\frac{2}{2} + \frac{1}{2}}

$\frac{57}{\frac{2}{2} + \frac{1}{2}}$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{57}{\frac{2 + 1}{2}}

$\frac{57}{\frac{2 + 1}{2}}$

Step 1.2.3

Add

2

$2$ and

1

$1$ .

\frac{57}{\frac{3}{2}}

$\frac{57}{\frac{3}{2}}$

\frac{57}{\frac{3}{2}}

$\frac{57}{\frac{3}{2}}$

\frac{57}{\frac{3}{2}}

$\frac{57}{\frac{3}{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

57 (\frac{2}{3})

$57 (\frac{2}{3})$

Step 3

Cancel the common factor of

3

$3$ .

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Step 3.1

Factor

3

$3$ out of

57

$57$ .

3 (19) \frac{2}{3}

$3 (19) \frac{2}{3}$

Step 3.2

Cancel the common factor.

$3 \cdot 19 \frac{2}{3}$

Step 3.3

Rewrite the expression.

$19 \cdot 2$

Step 4

Multiply

$19$ by

$2$ .

$38$