Basic Math Examples

$\frac{\frac{4}{7}}{\frac{6}{5} \cdot \frac{49}{55}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{7} \cdot \frac{1}{\frac{6}{5} \cdot \frac{49}{55}}$

Step 2

Multiply $\frac{6}{5}$ by $\frac{49}{55}$ .

$\frac{4}{7} \cdot \frac{1}{\frac{6 \cdot 49}{5 \cdot 55}}$

Step 3

Multiply.

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Step 3.1

Multiply $6$ by $49$ .

$\frac{4}{7} \cdot \frac{1}{\frac{294}{5 \cdot 55}}$

Step 3.2

Multiply $5$ by $55$ .

$\frac{4}{7} \cdot \frac{1}{\frac{294}{275}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{7} (1 (\frac{275}{294}))$

Step 5

Multiply $\frac{275}{294}$ by $1$ .

$\frac{4}{7} \cdot \frac{275}{294}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{7} \cdot \frac{275}{294}$

Step 6.2

Factor $2$ out of $294$ .

$\frac{2 \cdot 2}{7} \cdot \frac{275}{2 \cdot 147}$

Step 6.3

Cancel the common factor.

$\frac{2 \cdot 2}{7} \cdot \frac{275}{2 \cdot 147}$

Step 6.4

Rewrite the expression.

$\frac{2}{7} \cdot \frac{275}{147}$

Step 7

Multiply $\frac{2}{7}$ by $\frac{275}{147}$ .

$\frac{2 \cdot 275}{7 \cdot 147}$

Step 8

Multiply.

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Step 8.1

Multiply $2$ by $275$ .

$\frac{550}{7 \cdot 147}$

Step 8.2

Multiply $7$ by $147$ .

$\frac{550}{1029}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{550}{1029}$

Decimal Form:

$0.53449951 \dots$