Basic Math Examples

$\frac{f}{77} - \frac{4}{7} = \frac{5}{7}$

Step 1

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

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Step 1.1

Add $\frac{4}{7}$ to both sides of the equation.

$\frac{f}{77} = \frac{5}{7} + \frac{4}{7}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{f}{77} = \frac{5 + 4}{7}$

Step 1.3

Add $5$ and $4$ .

$\frac{f}{77} = \frac{9}{7}$

Step 2

Multiply both sides of the equation by $77$ .

$77 \frac{f}{77} = 77 (\frac{9}{7})$

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

Cancel the common factor of $77$ .

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Step 3.1.1.1

Cancel the common factor.

$77 \frac{f}{77} = 77 (\frac{9}{7})$

Step 3.1.1.2

Rewrite the expression.

$f = 77 (\frac{9}{7})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $77 (\frac{9}{7})$ .

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Step 3.2.1.1

Cancel the common factor of $7$ .

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Step 3.2.1.1.1

Factor $7$ out of $77$ .

$f = 7 (11) \frac{9}{7}$

Step 3.2.1.1.2

Cancel the common factor.

$f = 7 \cdot 11 \frac{9}{7}$

Step 3.2.1.1.3

Rewrite the expression.

$f = 11 \cdot 9$

Step 3.2.1.2

Multiply $11$ by $9$ .

$f = 99$