Basic Math Examples

$- \frac{7}{8} - h = \frac{7}{12}$

Step 1

Move all terms not containing $h$ to the right side of the equation.

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Step 1.1

Add $\frac{7}{8}$ to both sides of the equation.

$- h = \frac{7}{12} + \frac{7}{8}$

Step 1.2

To write $\frac{7}{12}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- h = \frac{7}{12} \cdot \frac{2}{2} + \frac{7}{8}$

Step 1.3

To write $\frac{7}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- h = \frac{7}{12} \cdot \frac{2}{2} + \frac{7}{8} \cdot \frac{3}{3}$

Step 1.4

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.4.1

Multiply $\frac{7}{12}$ by $\frac{2}{2}$ .

$- h = \frac{7 \cdot 2}{12 \cdot 2} + \frac{7}{8} \cdot \frac{3}{3}$

Step 1.4.2

Multiply $12$ by $2$ .

$- h = \frac{7 \cdot 2}{24} + \frac{7}{8} \cdot \frac{3}{3}$

Step 1.4.3

Multiply $\frac{7}{8}$ by $\frac{3}{3}$ .

$- h = \frac{7 \cdot 2}{24} + \frac{7 \cdot 3}{8 \cdot 3}$

Step 1.4.4

Multiply $8$ by $3$ .

$- h = \frac{7 \cdot 2}{24} + \frac{7 \cdot 3}{24}$

Step 1.5

Combine the numerators over the common denominator.

$- h = \frac{7 \cdot 2 + 7 \cdot 3}{24}$

Step 1.6

Simplify the numerator.

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Step 1.6.1

Multiply $7$ by $2$ .

$- h = \frac{14 + 7 \cdot 3}{24}$

Step 1.6.2

Multiply $7$ by $3$ .

$- h = \frac{14 + 21}{24}$

Step 1.6.3

Add $14$ and $21$ .

$- h = \frac{35}{24}$

Step 2

Divide each term in $- h = \frac{35}{24}$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- h = \frac{35}{24}$ by $- 1$ .

$\frac{- h}{- 1} = \frac{\frac{35}{24}}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{h}{1} = \frac{\frac{35}{24}}{- 1}$

Step 2.2.2

Divide $h$ by $1$ .

$h = \frac{\frac{35}{24}}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative one from the denominator of $\frac{\frac{35}{24}}{- 1}$ .

$h = - 1 \cdot \frac{35}{24}$

Step 2.3.2

Rewrite $- 1 \cdot \frac{35}{24}$ as $- \frac{35}{24}$ .

$h = - \frac{35}{24}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$h = - \frac{35}{24}$

Decimal Form:

$h = - 1.458\overline{3}$

Mixed Number Form:

$h = - 1 \frac{11}{24}$