Solve for q 10/9=3/q

$\frac{10}{9} = \frac{3}{q}$

Step 1

Rewrite the equation as $\frac{3}{q} = \frac{10}{9}$ .

$\frac{3}{q} = \frac{10}{9}$

Step 2

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$3 \cdot 9 = q \cdot 10$

Step 3

Solve the equation for $q$ .

Rewrite the equation as $q \cdot 10 = 3 \cdot 9$ .

$q \cdot 10 = 3 \cdot 9$

Multiply $3$ by $9$ .

$q \cdot 10 = 27$

Divide each term in $(q \cdot 10) = 27$ by $10$ and simplify.

Divide each term in $(q \cdot 10) = 27$ by $10$ .

$\frac{(q \cdot 10)}{10} = \frac{27}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{q \cdot 10}{10} = \frac{27}{10}$

Divide $q$ by $1$ .

$q = \frac{27}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$q = \frac{27}{10}$

Decimal Form:

$q = 2.7$

Mixed Number Form:

$q = 2 \frac{7}{10}$

Solve for q 10/9=3/q

Related Questions

Support LCMGCF.com by disabling your adblocker.