Basic Math Examples

$\frac{5}{12} + - 4^{\frac{1}{5}} \div 1^{\frac{13}{15}}$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{5}{12} + \frac{- 4^{\frac{1}{5}}}{1^{\frac{13}{15}}}$

Step 1.2

One to any power is one.

$\frac{5}{12} + \frac{- 4^{\frac{1}{5}}}{1}$

Step 1.3

Divide $- 4^{\frac{1}{5}}$ by $1$ .

$\frac{5}{12} - 4^{\frac{1}{5}}$

Step 2

To write $- 4^{\frac{1}{5}}$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$\frac{5}{12} - 4^{\frac{1}{5}} \cdot \frac{12}{12}$

Step 3

Combine $- 4^{\frac{1}{5}}$ and $\frac{12}{12}$ .

$\frac{5}{12} + \frac{- 4^{\frac{1}{5}} \cdot 12}{12}$

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

$\frac{5 - 4^{\frac{1}{5}} \cdot 12}{12}$

Step 4.2

Multiply $12$ by $- 1$ .

$\frac{5 - 12 \cdot 4^{\frac{1}{5}}}{12}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5 - 12 \cdot 4^{\frac{1}{5}}}{12}$

Decimal Form:

$- 0.90284124 \dots$