Simplify (6/(28x+4))÷(6/(35x+5))

$\frac{6}{28 x + 4} \div \frac{6}{35 x + 5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{28 x + 4} \cdot \frac{35 x + 5}{6}$

Step 2

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6}{28 x + 4} \cdot \frac{35 x + 5}{6}$

Rewrite the expression.

$\frac{1}{28 x + 4} (35 x + 5)$

$\frac{1}{28 x + 4} (35 x + 5)$

Step 3

Factor $4$ out of $28 x + 4$ .

Factor $4$ out of $28 x$ .

$\frac{1}{4 (7 x) + 4} (35 x + 5)$

Factor $4$ out of $4$ .

$\frac{1}{4 (7 x) + 4 (1)} (35 x + 5)$

Factor $4$ out of $4 (7 x) + 4 (1)$ .

$\frac{1}{4 (7 x + 1)} (35 x + 5)$

$\frac{1}{4 (7 x + 1)} (35 x + 5)$

Step 4

Multiply $\frac{1}{4 (7 x + 1)}$ by $35 x + 5$ .

$\frac{35 x + 5}{4 (7 x + 1)}$

Step 5

Factor $5$ out of $35 x + 5$ .

Factor $5$ out of $35 x$ .

$\frac{5 (7 x) + 5}{4 (7 x + 1)}$

Factor $5$ out of $5$ .

$\frac{5 (7 x) + 5 (1)}{4 (7 x + 1)}$

Factor $5$ out of $5 (7 x) + 5 (1)$ .

$\frac{5 (7 x + 1)}{4 (7 x + 1)}$

$\frac{5 (7 x + 1)}{4 (7 x + 1)}$

Step 6

Cancel the common factor of $7 x + 1$ .

Cancel the common factor.

$\frac{5 (7 x + 1)}{4 (7 x + 1)}$

Rewrite the expression.

$\frac{5}{4}$

$\frac{5}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$

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