Basic Math Examples

(- 3.75) - (- 1 \frac{5}{7})

$(- 3.75) - (- 1 \frac{5}{7})$

Step 1

Convert

1 \frac{5}{7}

$1 \frac{5}{7}$ to an improper fraction.

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Step 1.1

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

- 3.75 - - (1 + \frac{5}{7})

$- 3.75 - - (1 + \frac{5}{7})$

Step 1.2

Add

1

$1$ and

\frac{5}{7}

$\frac{5}{7}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

- 3.75 - - (\frac{7}{7} + \frac{5}{7})

$- 3.75 - - (\frac{7}{7} + \frac{5}{7})$

Step 1.2.2

Combine the numerators over the common denominator.

- 3.75 - - \frac{7 + 5}{7}

$- 3.75 - - \frac{7 + 5}{7}$

Step 1.2.3

Add

7

$7$ and

5

$5$ .

- 3.75 - - \frac{12}{7}

$- 3.75 - - \frac{12}{7}$

- 3.75 - - \frac{12}{7}

$- 3.75 - - \frac{12}{7}$

- 3.75 - - \frac{12}{7}

$- 3.75 - - \frac{12}{7}$

Step 2

Multiply

- - \frac{12}{7}

$- - \frac{12}{7}$ .

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Step 2.1

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

- 3.75 + 1 (\frac{12}{7})

$- 3.75 + 1 (\frac{12}{7})$

Step 2.2

Multiply

\frac{12}{7}

$\frac{12}{7}$ by

1

$1$ .

- 3.75 + \frac{12}{7}

$- 3.75 + \frac{12}{7}$

- 3.75 + \frac{12}{7}

$- 3.75 + \frac{12}{7}$

Step 3

To write

- 3.75

$- 3.75$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

- 3.75 \cdot \frac{7}{7} + \frac{12}{7}

$- 3.75 \cdot \frac{7}{7} + \frac{12}{7}$

Step 4

Combine fractions.

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Step 4.1

Combine

- 3.75

$- 3.75$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{- 3.75 \cdot 7}{7} + \frac{12}{7}

$\frac{- 3.75 \cdot 7}{7} + \frac{12}{7}$

Step 4.2

Combine the numerators over the common denominator.

\frac{- 3.75 \cdot 7 + 12}{7}

$\frac{- 3.75 \cdot 7 + 12}{7}$

\frac{- 3.75 \cdot 7 + 12}{7}

$\frac{- 3.75 \cdot 7 + 12}{7}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 3.75

$- 3.75$ by

7

$7$ .

\frac{- 26.25 + 12}{7}

$\frac{- 26.25 + 12}{7}$

Step 5.2

Add

- 26.25

$- 26.25$ and

12

$12$ .

\frac{- 14.25}{7}

$\frac{- 14.25}{7}$

\frac{- 14.25}{7}

$\frac{- 14.25}{7}$

Step 6

Divide

- 14.25

$- 14.25$ by

7

$7$ .

- 2.03571428

$- 2.03571428$