Algebra Examples

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

Step 1

Find the common denominator.

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Step 1.1

Write

$7$ as a fraction with denominator

$1$ .

$\frac{7}{1} + \frac{7}{7} + 7 \cdot 7 - 7$

Step 1.2

Multiply

$\frac{7}{1}$ by

$\frac{7}{7}$ .

$\frac{7}{1} \cdot \frac{7}{7} + \frac{7}{7} + 7 \cdot 7 - 7$

Step 1.3

Multiply

$\frac{7}{1}$ by

$\frac{7}{7}$ .

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

Step 1.4

Write

$7 \cdot 7$ as a fraction with denominator

$1$ .

$\frac{7 \cdot 7}{7} + \frac{7}{7} + \frac{7 \cdot 7}{1} - 7$

Step 1.5

Multiply

$\frac{7 \cdot 7}{1}$ by

$\frac{7}{7}$ .

$\frac{7 \cdot 7}{7} + \frac{7}{7} + \frac{7 \cdot 7}{1} \cdot \frac{7}{7} - 7$

Step 1.6

Multiply

$\frac{7 \cdot 7}{1}$ by

$\frac{7}{7}$ .

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

Step 1.7

Write

$- 7$ as a fraction with denominator

$1$ .

$\frac{7 \cdot 7}{7} + \frac{7}{7} + \frac{7 \cdot 7 \cdot 7}{7} + \frac{- 7}{1}$

Step 1.8

Multiply

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

$\frac{7}{7}$ .

$\frac{7 \cdot 7}{7} + \frac{7}{7} + \frac{7 \cdot 7 \cdot 7}{7} + \frac{- 7}{1} \cdot \frac{7}{7}$

Step 1.9

Multiply

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

$\frac{7}{7}$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

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Step 3.1

Multiply

$7$ by

$7$ .

$\frac{49 + 7 + 7 \cdot 7 \cdot 7 - 7 \cdot 7}{7}$

Step 3.2

Multiply

$7 \cdot 7 \cdot 7$ .

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Step 3.2.1

Multiply

$7$ by

$7$ .

$\frac{49 + 7 + 49 \cdot 7 - 7 \cdot 7}{7}$

Step 3.2.2

Multiply

$49$ by

$7$ .

$\frac{49 + 7 + 343 - 7 \cdot 7}{7}$

Step 3.3

Multiply

$- 7$ by

$7$ .

$\frac{49 + 7 + 343 - 49}{7}$

Step 4

Simplify the expression.

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Step 4.1

Add

$49$ and

$7$ .

$\frac{56 + 343 - 49}{7}$

Step 4.2

Add

$56$ and

$343$ .

$\frac{399 - 49}{7}$

Step 4.3

Subtract

$49$ from

$399$ .

$\frac{350}{7}$

Step 4.4

Divide

$350$ by

$7$ .

$50$