Basic Math Examples

${(- 3 - 0.97)}^{2} \div (- 3 \frac{1}{4})$

Step 1

Convert $3 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

${(- 3 - 0.97)}^{2} \div (- (3 + \frac{1}{4}))$

Step 1.2

Add $3$ and $\frac{1}{4}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

${(- 3 - 0.97)}^{2} \div (- (3 \cdot \frac{4}{4} + \frac{1}{4}))$

Step 1.2.2

Combine $3$ and $\frac{4}{4}$ .

${(- 3 - 0.97)}^{2} \div (- (\frac{3 \cdot 4}{4} + \frac{1}{4}))$

Step 1.2.3

Combine the numerators over the common denominator.

${(- 3 - 0.97)}^{2} \div (- \frac{3 \cdot 4 + 1}{4})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $4$ .

${(- 3 - 0.97)}^{2} \div (- \frac{12 + 1}{4})$

Step 1.2.4.2

Add $12$ and $1$ .

${(- 3 - 0.97)}^{2} \div (- \frac{13}{4})$

Step 2

To divide by a fraction, multiply by its reciprocal.

${(- 3 - 0.97)}^{2} (- \frac{4}{13})$

Step 3

Subtract $0.97$ from $- 3$ .

${(- 3.97)}^{2} (- \frac{4}{13})$

Step 4

Raise $- 3.97$ to the power of $2$ .

$15.7609 (- \frac{4}{13})$

Step 5

Multiply $15.7609 (- \frac{4}{13})$ .

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Step 5.1

Multiply $- 1$ by $15.7609$ .

$- 15.7609 (\frac{4}{13})$

Step 5.2

Combine $- 15.7609$ and $\frac{4}{13}$ .

$\frac{- 15.7609 \cdot 4}{13}$

Step 5.3

Multiply $- 15.7609$ by $4$ .

$\frac{- 63.0436}{13}$

Step 6

Divide $- 63.0436$ by $13$ .

$- 4.84950769$