Basic Math Examples

10 \frac{6}{7} - 24

$10 \frac{6}{7} - 24$

Step 1

Convert

$10 \frac{6}{7}$ to an improper fraction.

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Step 1.1

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

$10 + \frac{6}{7} - 24$

Step 1.2

Add

$10$ and

$\frac{6}{7}$ .

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Step 1.2.1

To write

$10$ as a fraction with a common denominator, multiply by

$\frac{7}{7}$ .

$10 \cdot \frac{7}{7} + \frac{6}{7} - 24$

Step 1.2.2

Combine

$10$ and

$\frac{7}{7}$ .

$\frac{10 \cdot 7}{7} + \frac{6}{7} - 24$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{10 \cdot 7 + 6}{7} - 24$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$10$ by

$7$ .

$\frac{70 + 6}{7} - 24$

Step 1.2.4.2

Add

$70$ and

$6$ .

$\frac{76}{7} - 24$

Step 2

To write

$- 24$ as a fraction with a common denominator, multiply by

$\frac{7}{7}$ .

$\frac{76}{7} - 24 \cdot \frac{7}{7}$

Step 3

Combine

$- 24$ and

$\frac{7}{7}$ .

$\frac{76}{7} + \frac{- 24 \cdot 7}{7}$

Step 4

Combine the numerators over the common denominator.

$\frac{76 - 24 \cdot 7}{7}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$- 24$ by

$7$ .

$\frac{76 - 168}{7}$

Step 5.2

Subtract

$168$ from

$76$ .

$\frac{- 92}{7}$

Step 6

Move the negative in front of the fraction.

$- \frac{92}{7}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{92}{7}$

Decimal Form:

$- 13.14285714 \dots$

Mixed Number Form:

$- 13 \frac{1}{7}$