Algebra Examples

$π (\frac{3125}{5} - \frac{6250}{3} + 3125)$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{3125}{5}$ by $\frac{3}{3}$ .

$π (\frac{3125}{5} \cdot \frac{3}{3} - \frac{6250}{3} + 3125)$

Step 1.2

Multiply $\frac{3125}{5}$ by $\frac{3}{3}$ .

$π (\frac{3125 \cdot 3}{5 \cdot 3} - \frac{6250}{3} + 3125)$

Step 1.3

Multiply $\frac{6250}{3}$ by $\frac{5}{5}$ .

$π (\frac{3125 \cdot 3}{5 \cdot 3} - (\frac{6250}{3} \cdot \frac{5}{5}) + 3125)$

Step 1.4

Multiply $\frac{6250}{3}$ by $\frac{5}{5}$ .

$π (\frac{3125 \cdot 3}{5 \cdot 3} - \frac{6250 \cdot 5}{3 \cdot 5} + 3125)$

Step 1.5

Write $3125$ as a fraction with denominator $1$ .

$π (\frac{3125 \cdot 3}{5 \cdot 3} - \frac{6250 \cdot 5}{3 \cdot 5} + \frac{3125}{1})$

Step 1.6

Multiply $\frac{3125}{1}$ by $\frac{15}{15}$ .

$π (\frac{3125 \cdot 3}{5 \cdot 3} - \frac{6250 \cdot 5}{3 \cdot 5} + \frac{3125}{1} \cdot \frac{15}{15})$

Step 1.7

Multiply $\frac{3125}{1}$ by $\frac{15}{15}$ .

$π (\frac{3125 \cdot 3}{5 \cdot 3} - \frac{6250 \cdot 5}{3 \cdot 5} + \frac{3125 \cdot 15}{15})$

Step 1.8

Reorder the factors of $5 \cdot 3$ .

$π (\frac{3125 \cdot 3}{3 \cdot 5} - \frac{6250 \cdot 5}{3 \cdot 5} + \frac{3125 \cdot 15}{15})$

Step 1.9

Multiply $3$ by $5$ .

$π (\frac{3125 \cdot 3}{15} - \frac{6250 \cdot 5}{3 \cdot 5} + \frac{3125 \cdot 15}{15})$

Step 1.10

Multiply $3$ by $5$ .

$π (\frac{3125 \cdot 3}{15} - \frac{6250 \cdot 5}{15} + \frac{3125 \cdot 15}{15})$

Step 2

Combine the numerators over the common denominator.

$π \frac{3125 \cdot 3 - 6250 \cdot 5 + 3125 \cdot 15}{15}$

Step 3

Simplify each term.

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Step 3.1

Multiply $3125$ by $3$ .

$π \frac{9375 - 6250 \cdot 5 + 3125 \cdot 15}{15}$

Step 3.2

Multiply $- 6250$ by $5$ .

$π \frac{9375 - 31250 + 3125 \cdot 15}{15}$

Step 3.3

Multiply $3125$ by $15$ .

$π \frac{9375 - 31250 + 46875}{15}$

Step 4

Simplify terms.

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Step 4.1

Subtract $31250$ from $9375$ .

$π \frac{- 21875 + 46875}{15}$

Step 4.2

Add $- 21875$ and $46875$ .

$π \frac{25000}{15}$

Step 4.3

Cancel the common factor of $25000$ and $15$ .

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Step 4.3.1

Factor $5$ out of $25000$ .

$π \frac{5 (5000)}{15}$

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Factor $5$ out of $15$ .

$π \frac{5 \cdot 5000}{5 \cdot 3}$

Step 4.3.2.2

Cancel the common factor.

$π \frac{5 \cdot 5000}{5 \cdot 3}$

Step 4.3.2.3

Rewrite the expression.

$π \frac{5000}{3}$

Step 4.4

Combine $π$ and $\frac{5000}{3}$ .

$\frac{π \cdot 5000}{3}$

Step 4.5

Move $5000$ to the left of $π$ .

$\frac{5000 π}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5000 π}{3}$

Decimal Form:

$5235.98775598 \dots$