Basic Math Examples

$- \frac{7}{5} \cdot 2 \frac{125}{1000}$

Step 1

Convert $2 \frac{125}{1000}$ to an improper fraction.

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Step 1.1

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

$- \frac{7}{5} \cdot (2 + \frac{125}{1000})$

Step 1.2

Add $2$ and $\frac{125}{1000}$ .

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Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{1000}{1000}$ .

$- \frac{7}{5} \cdot (2 \cdot \frac{1000}{1000} + \frac{125}{1000})$

Step 1.2.2

Combine $2$ and $\frac{1000}{1000}$ .

$- \frac{7}{5} \cdot (\frac{2 \cdot 1000}{1000} + \frac{125}{1000})$

Step 1.2.3

Combine the numerators over the common denominator.

$- \frac{7}{5} \cdot \frac{2 \cdot 1000 + 125}{1000}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $1000$ .

$- \frac{7}{5} \cdot \frac{2000 + 125}{1000}$

Step 1.2.4.2

Add $2000$ and $125$ .

$- \frac{7}{5} \cdot \frac{2125}{1000}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Move the leading negative in $- \frac{7}{5}$ into the numerator.

$\frac{- 7}{5} \cdot \frac{2125}{1000}$

Step 2.2

Factor $5$ out of $2125$ .

$\frac{- 7}{5} \cdot \frac{5 (425)}{1000}$

Step 2.3

Cancel the common factor.

$\frac{- 7}{5} \cdot \frac{5 \cdot 425}{1000}$

Step 2.4

Rewrite the expression.

$- 7 \cdot \frac{425}{1000}$

Step 3

Combine $- 7$ and $\frac{425}{1000}$ .

$\frac{- 7 \cdot 425}{1000}$

Step 4

Multiply $- 7$ by $425$ .

$\frac{- 2975}{1000}$

Step 5

Cancel the common factor of $- 2975$ and $1000$ .

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Step 5.1

Factor $25$ out of $- 2975$ .

$\frac{25 (- 119)}{1000}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $25$ out of $1000$ .

$\frac{25 \cdot - 119}{25 \cdot 40}$

Step 5.2.2

Cancel the common factor.

$\frac{25 \cdot - 119}{25 \cdot 40}$

Step 5.2.3

Rewrite the expression.

$\frac{- 119}{40}$

Step 6

Move the negative in front of the fraction.

$- \frac{119}{40}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{119}{40}$

Decimal Form:

$- 2.975$

Mixed Number Form:

$- 2 \frac{39}{40}$