Basic Math Examples

$\frac{109}{74} \cdot \frac{144}{88}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $74$ .

$\frac{109}{2 (37)} \cdot \frac{144}{88}$

Step 1.2

Factor $2$ out of $144$ .

$\frac{109}{2 \cdot 37} \cdot \frac{2 \cdot 72}{88}$

Step 1.3

Cancel the common factor.

$\frac{109}{2 \cdot 37} \cdot \frac{2 \cdot 72}{88}$

Step 1.4

Rewrite the expression.

$\frac{109}{37} \cdot \frac{72}{88}$

Step 2

Multiply $\frac{109}{37}$ by $\frac{72}{88}$ .

$\frac{109 \cdot 72}{37 \cdot 88}$

Step 3

Multiply.

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Step 3.1

Multiply $109$ by $72$ .

$\frac{7848}{37 \cdot 88}$

Step 3.2

Multiply $37$ by $88$ .

$\frac{7848}{3256}$

Step 4

Cancel the common factor of $7848$ and $3256$ .

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Step 4.1

Factor $8$ out of $7848$ .

$\frac{8 (981)}{3256}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $8$ out of $3256$ .

$\frac{8 \cdot 981}{8 \cdot 407}$

Step 4.2.2

Cancel the common factor.

$\frac{8 \cdot 981}{8 \cdot 407}$

Step 4.2.3

Rewrite the expression.

$\frac{981}{407}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{981}{407}$

Decimal Form:

$2.\overline{410319}$

Mixed Number Form:

$2 \frac{167}{407}$