Basic Math Examples

$\frac{13}{35} \cdot (900) + \frac{19}{35} \cdot (1800) + \frac{3}{35} \cdot (2150)$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

Factor $5$ out of $35$ .

$\frac{13}{5 (7)} \cdot 900 + \frac{19}{35} \cdot (1800) + \frac{3}{35} \cdot (2150)$

Step 1.2

Factor $5$ out of $900$ .

$\frac{13}{5 \cdot 7} \cdot (5 \cdot 180) + \frac{19}{35} \cdot (1800) + \frac{3}{35} \cdot (2150)$

Step 1.3

Cancel the common factor.

$\frac{13}{5 \cdot 7} \cdot (5 \cdot 180) + \frac{19}{35} \cdot (1800) + \frac{3}{35} \cdot (2150)$

Step 1.4

Rewrite the expression.

$\frac{13}{7} \cdot 180 + \frac{19}{35} \cdot (1800) + \frac{3}{35} \cdot (2150)$

Step 2

Combine $\frac{13}{7}$ and $180$ .

$\frac{13 \cdot 180}{7} + \frac{19}{35} \cdot (1800) + \frac{3}{35} \cdot (2150)$

Step 3

Multiply $13$ by $180$ .

$\frac{2340}{7} + \frac{19}{35} \cdot (1800) + \frac{3}{35} \cdot (2150)$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Factor $5$ out of $35$ .

$\frac{2340}{7} + \frac{19}{5 (7)} \cdot 1800 + \frac{3}{35} \cdot (2150)$

Step 4.2

Factor $5$ out of $1800$ .

$\frac{2340}{7} + \frac{19}{5 \cdot 7} \cdot (5 \cdot 360) + \frac{3}{35} \cdot (2150)$

Step 4.3

Cancel the common factor.

$\frac{2340}{7} + \frac{19}{5 \cdot 7} \cdot (5 \cdot 360) + \frac{3}{35} \cdot (2150)$

Step 4.4

Rewrite the expression.

$\frac{2340}{7} + \frac{19}{7} \cdot 360 + \frac{3}{35} \cdot (2150)$

Step 5

Combine $\frac{19}{7}$ and $360$ .

$\frac{2340}{7} + \frac{19 \cdot 360}{7} + \frac{3}{35} \cdot (2150)$

Step 6

Multiply $19$ by $360$ .

$\frac{2340}{7} + \frac{6840}{7} + \frac{3}{35} \cdot (2150)$

Step 7

Cancel the common factor of $5$ .

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Step 7.1

Factor $5$ out of $35$ .

$\frac{2340}{7} + \frac{6840}{7} + \frac{3}{5 (7)} \cdot 2150$

Step 7.2

Factor $5$ out of $2150$ .

$\frac{2340}{7} + \frac{6840}{7} + \frac{3}{5 \cdot 7} \cdot (5 \cdot 430)$

Step 7.3

Cancel the common factor.

$\frac{2340}{7} + \frac{6840}{7} + \frac{3}{5 \cdot 7} \cdot (5 \cdot 430)$

Step 7.4

Rewrite the expression.

$\frac{2340}{7} + \frac{6840}{7} + \frac{3}{7} \cdot 430$

Step 8

Combine $\frac{3}{7}$ and $430$ .

$\frac{2340}{7} + \frac{6840}{7} + \frac{3 \cdot 430}{7}$

Step 9

Multiply $3$ by $430$ .

$\frac{2340}{7} + \frac{6840}{7} + \frac{1290}{7}$

Step 10

Combine the numerators over the common denominator.

$\frac{2340 + 6840}{7} + \frac{1290}{7}$

Step 11

Add $2340$ and $6840$ .

$\frac{9180}{7} + \frac{1290}{7}$

Step 12

Combine the numerators over the common denominator.

$\frac{9180 + 1290}{7}$

Step 13

Add $9180$ and $1290$ .

$\frac{10470}{7}$