Basic Math Examples

$88 - 26 = \frac{56}{9} \cdot (h - 7)$

Step 1

Rewrite the equation as $\frac{56}{9} \cdot (h - 7) = 88 - 26$ .

$\frac{56}{9} \cdot (h - 7) = 88 - 26$

Step 2

Multiply both sides of the equation by $\frac{9}{56}$ .

$\frac{9}{56} (\frac{56}{9} \cdot (h - 7)) = \frac{9}{56} (88 - 26)$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{9}{56} (\frac{56}{9} \cdot (h - 7))$ .

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Step 3.1.1.1

Apply the distributive property.

$\frac{9}{56} (\frac{56}{9} h + \frac{56}{9} \cdot - 7) = \frac{9}{56} (88 - 26)$

Step 3.1.1.2

Combine $\frac{56}{9}$ and $h$ .

$\frac{9}{56} (\frac{56 h}{9} + \frac{56}{9} \cdot - 7) = \frac{9}{56} (88 - 26)$

Step 3.1.1.3

Multiply $\frac{56}{9} \cdot - 7$ .

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Step 3.1.1.3.1

Combine $\frac{56}{9}$ and $- 7$ .

$\frac{9}{56} (\frac{56 h}{9} + \frac{56 \cdot - 7}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.3.2

Multiply $56$ by $- 7$ .

$\frac{9}{56} (\frac{56 h}{9} + \frac{- 392}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.4

Move the negative in front of the fraction.

$\frac{9}{56} (\frac{56 h}{9} - \frac{392}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.5

Apply the distributive property.

$\frac{9}{56} \cdot \frac{56 h}{9} + \frac{9}{56} (- \frac{392}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.6

Cancel the common factor of $9$ .

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Step 3.1.1.6.1

Cancel the common factor.

$\frac{9}{56} \cdot \frac{56 h}{9} + \frac{9}{56} (- \frac{392}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.6.2

Rewrite the expression.

$\frac{1}{56} (56 h) + \frac{9}{56} (- \frac{392}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.7

Cancel the common factor of $56$ .

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Step 3.1.1.7.1

Factor $56$ out of $56 h$ .

$\frac{1}{56} (56 (h)) + \frac{9}{56} (- \frac{392}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.7.2

Cancel the common factor.

$\frac{1}{56} (56 h) + \frac{9}{56} (- \frac{392}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.7.3

Rewrite the expression.

$h + \frac{9}{56} (- \frac{392}{9}) = \frac{9}{56} (88 - 26)$

Step 3.1.1.8

Cancel the common factor of $9$ .

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Step 3.1.1.8.1

Move the leading negative in $- \frac{392}{9}$ into the numerator.

$h + \frac{9}{56} \cdot \frac{- 392}{9} = \frac{9}{56} (88 - 26)$

Step 3.1.1.8.2

Cancel the common factor.

$h + \frac{9}{56} \cdot \frac{- 392}{9} = \frac{9}{56} (88 - 26)$

Step 3.1.1.8.3

Rewrite the expression.

$h + \frac{1}{56} \cdot - 392 = \frac{9}{56} (88 - 26)$

Step 3.1.1.9

Cancel the common factor of $56$ .

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Step 3.1.1.9.1

Factor $56$ out of $- 392$ .

$h + \frac{1}{56} \cdot (56 (- 7)) = \frac{9}{56} (88 - 26)$

Step 3.1.1.9.2

Cancel the common factor.

$h + \frac{1}{56} \cdot (56 \cdot - 7) = \frac{9}{56} (88 - 26)$

Step 3.1.1.9.3

Rewrite the expression.

$h - 7 = \frac{9}{56} (88 - 26)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{9}{56} (88 - 26)$ .

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Step 3.2.1.1

Subtract $26$ from $88$ .

$h - 7 = \frac{9}{56} \cdot 62$

Step 3.2.1.2

Cancel the common factor of $2$ .

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Step 3.2.1.2.1

Factor $2$ out of $56$ .

$h - 7 = \frac{9}{2 (28)} \cdot 62$

Step 3.2.1.2.2

Factor $2$ out of $62$ .

$h - 7 = \frac{9}{2 \cdot 28} \cdot (2 \cdot 31)$

Step 3.2.1.2.3

Cancel the common factor.

$h - 7 = \frac{9}{2 \cdot 28} \cdot (2 \cdot 31)$

Step 3.2.1.2.4

Rewrite the expression.

$h - 7 = \frac{9}{28} \cdot 31$

Step 3.2.1.3

Combine $\frac{9}{28}$ and $31$ .

$h - 7 = \frac{9 \cdot 31}{28}$

Step 3.2.1.4

Multiply $9$ by $31$ .

$h - 7 = \frac{279}{28}$

Step 4

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

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Step 4.1

Add $7$ to both sides of the equation.

$h = \frac{279}{28} + 7$

Step 4.2

To write $7$ as a fraction with a common denominator, multiply by $\frac{28}{28}$ .

$h = \frac{279}{28} + 7 \cdot \frac{28}{28}$

Step 4.3

Combine $7$ and $\frac{28}{28}$ .

$h = \frac{279}{28} + \frac{7 \cdot 28}{28}$

Step 4.4

Combine the numerators over the common denominator.

$h = \frac{279 + 7 \cdot 28}{28}$

Step 4.5

Simplify the numerator.

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Step 4.5.1

Multiply $7$ by $28$ .

$h = \frac{279 + 196}{28}$

Step 4.5.2

Add $279$ and $196$ .

$h = \frac{475}{28}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$h = \frac{475}{28}$

Decimal Form:

$h = 16.96428571 \dots$

Mixed Number Form:

$h = 16 \frac{27}{28}$