Basic Math Examples

$7 \frac{4}{13} - 9.21 - 16.32$

Step 1

Convert $7 \frac{4}{13}$ to an improper fraction.

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Step 1.1

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

$7 + \frac{4}{13} - 9.21 - 16.32$

Step 1.2

Add $7$ and $\frac{4}{13}$ .

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Step 1.2.1

To write $7$ as a fraction with a common denominator, multiply by $\frac{13}{13}$ .

$7 \cdot \frac{13}{13} + \frac{4}{13} - 9.21 - 16.32$

Step 1.2.2

Combine $7$ and $\frac{13}{13}$ .

$\frac{7 \cdot 13}{13} + \frac{4}{13} - 9.21 - 16.32$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{7 \cdot 13 + 4}{13} - 9.21 - 16.32$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $7$ by $13$ .

$\frac{91 + 4}{13} - 9.21 - 16.32$

Step 1.2.4.2

Add $91$ and $4$ .

$\frac{95}{13} - 9.21 - 16.32$

Step 2

Find the common denominator.

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Step 2.1

Write $- 9.21$ as a fraction with denominator $1$ .

$\frac{95}{13} + \frac{- 9.21}{1} - 16.32$

Step 2.2

Multiply $\frac{- 9.21}{1}$ by $\frac{13}{13}$ .

$\frac{95}{13} + \frac{- 9.21}{1} \cdot \frac{13}{13} - 16.32$

Step 2.3

Multiply $\frac{- 9.21}{1}$ by $\frac{13}{13}$ .

$\frac{95}{13} + \frac{- 9.21 \cdot 13}{13} - 16.32$

Step 2.4

Write $- 16.32$ as a fraction with denominator $1$ .

$\frac{95}{13} + \frac{- 9.21 \cdot 13}{13} + \frac{- 16.32}{1}$

Step 2.5

Multiply $\frac{- 16.32}{1}$ by $\frac{13}{13}$ .

$\frac{95}{13} + \frac{- 9.21 \cdot 13}{13} + \frac{- 16.32}{1} \cdot \frac{13}{13}$

Step 2.6

Multiply $\frac{- 16.32}{1}$ by $\frac{13}{13}$ .

$\frac{95}{13} + \frac{- 9.21 \cdot 13}{13} + \frac{- 16.32 \cdot 13}{13}$

Step 3

Combine the numerators over the common denominator.

$\frac{95 - 9.21 \cdot 13 - 16.32 \cdot 13}{13}$

Step 4

Simplify each term.

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Step 4.1

Multiply $- 9.21$ by $13$ .

$\frac{95 - 119.73 - 16.32 \cdot 13}{13}$

Step 4.2

Multiply $- 16.32$ by $13$ .

$\frac{95 - 119.73 - 212.16}{13}$

Step 5

Simplify the expression.

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Step 5.1

Subtract $119.73$ from $95$ .

$\frac{- 24.73 - 212.16}{13}$

Step 5.2

Subtract $212.16$ from $- 24.73$ .

$\frac{- 236.89}{13}$

Step 5.3

Divide $- 236.89$ by $13$ .

$- 18.22230769$