Basic Math Examples

$\frac{- 19 + 175 \div (- 25) \cdot - 7}{36 - 5 (35) \div 25 \cdot 5}$

Step 1

Cancel the common factor of $175$ and $- 25$ .

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Step 1.1

Factor $25$ out of $175$ .

$\frac{- 19 + 25 (7) \div (- 25) \cdot - 7}{36 - 5 (35) \div 25 \cdot 5}$

Step 1.2

Move the negative one from the denominator of $\frac{7}{- 1}$ .

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - 5 (35) \div 25 \cdot 5}$

Step 2

Cancel the common factors.

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Step 2.1

Factor $5$ out of $25$ .

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - 5 \cdot 35 \div 5 \cdot 5 \cdot 5}$

Step 2.2

Cancel the common factor.

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - 5 \cdot 35 \div 5 \cdot 5 \cdot 5}$

Step 2.3

Rewrite the expression.

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - \frac{35}{5} \cdot 5}$

Step 3

Cancel the common factor of $35$ and $5$ .

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Step 3.1

Factor $5$ out of $35$ .

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - \frac{5 \cdot 7}{5} \cdot 5}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $5$ .

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - \frac{5 \cdot 7}{5 (1)} \cdot 5}$

Step 3.2.2

Cancel the common factor.

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - \frac{5 \cdot 7}{5 \cdot 1} \cdot 5}$

Step 3.2.3

Rewrite the expression.

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - \frac{7}{1} \cdot 5}$

Step 3.2.4

Divide $7$ by $1$ .

$\frac{- 19 - 1 \cdot 7 \cdot - 7}{36 - 1 \cdot 7 \cdot 5}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 1 \cdot 7 \cdot - 7$ .

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Step 4.1.1

Multiply $- 1$ by $7$ .

$\frac{- 19 - 7 \cdot - 7}{36 - 1 \cdot 7 \cdot 5}$

Step 4.1.2

Multiply $- 7$ by $- 7$ .

$\frac{- 19 + 49}{36 - 1 \cdot 7 \cdot 5}$

Step 4.2

Add $- 19$ and $49$ .

$\frac{30}{36 - 1 \cdot 7 \cdot 5}$

Step 5

Simplify the denominator.

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Step 5.1

Multiply $- 1 \cdot 7 \cdot 5$ .

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Step 5.1.1

Multiply $- 1$ by $7$ .

$\frac{30}{36 - 7 \cdot 5}$

Step 5.1.2

Multiply $- 7$ by $5$ .

$\frac{30}{36 - 35}$

Step 5.2

Subtract $35$ from $36$ .

$\frac{30}{1}$

Step 6

Divide $30$ by $1$ .

$30$