Basic Math Examples

$\frac{78}{5} \cdot \frac{35}{18} \cdot \frac{39}{49}$

Step 1

Cancel the common factor of $6$ .

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Step 1.1

Factor $6$ out of $78$ .

$\frac{6 (13)}{5} \cdot \frac{35}{18} \cdot \frac{39}{49}$

Step 1.2

Factor $6$ out of $18$ .

$\frac{6 \cdot 13}{5} \cdot \frac{35}{6 \cdot 3} \cdot \frac{39}{49}$

Step 1.3

Cancel the common factor.

$\frac{6 \cdot 13}{5} \cdot \frac{35}{6 \cdot 3} \cdot \frac{39}{49}$

Step 1.4

Rewrite the expression.

$\frac{13}{5} \cdot \frac{35}{3} \cdot \frac{39}{49}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $35$ .

$\frac{13}{5} \cdot \frac{5 (7)}{3} \cdot \frac{39}{49}$

Step 2.2

Cancel the common factor.

$\frac{13}{5} \cdot \frac{5 \cdot 7}{3} \cdot \frac{39}{49}$

Step 2.3

Rewrite the expression.

$13 \cdot \frac{7}{3} \cdot \frac{39}{49}$

Step 3

Combine $13$ and $\frac{7}{3}$ .

$\frac{13 \cdot 7}{3} \cdot \frac{39}{49}$

Step 4

Multiply $13$ by $7$ .

$\frac{91}{3} \cdot \frac{39}{49}$

Step 5

Cancel the common factor of $7$ .

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Step 5.1

Factor $7$ out of $91$ .

$\frac{7 (13)}{3} \cdot \frac{39}{49}$

Step 5.2

Factor $7$ out of $49$ .

$\frac{7 \cdot 13}{3} \cdot \frac{39}{7 \cdot 7}$

Step 5.3

Cancel the common factor.

$\frac{7 \cdot 13}{3} \cdot \frac{39}{7 \cdot 7}$

Step 5.4

Rewrite the expression.

$\frac{13}{3} \cdot \frac{39}{7}$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $39$ .

$\frac{13}{3} \cdot \frac{3 (13)}{7}$

Step 6.2

Cancel the common factor.

$\frac{13}{3} \cdot \frac{3 \cdot 13}{7}$

Step 6.3

Rewrite the expression.

$13 \cdot \frac{13}{7}$

Step 7

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

$\frac{13 \cdot 13}{7}$

Step 8

Multiply $13$ by $13$ .

$\frac{169}{7}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{169}{7}$

Decimal Form:

$24.14285714 \dots$

Mixed Number Form:

$24 \frac{1}{7}$