Question

simplify 1/6 divided by 5/9 (Write final answers in lowest terms and mixed numbers, if necessary.) and please explain

Answer 1

Answer:

$\frac{3}{10}$

Step-by-step explanation:

to divide 2 fractions follow the procedure

• Leave the first fraction

• Change division to multiplication

• Turn the second fraction upside down

• Simplify by cancelling common factors, if possible

$\frac{1}{6}$ ÷ $\frac{5}{9}$

= $\frac{1}{6}$ × $\frac{9}{5}$ (cancel 6 and 9 by 3 )

= $\frac{1}{2}$ × $\frac{3}{5}$

=$\frac{1(3)}{2(5)}$

= $\frac{3}{10}$ ← in simplest form

The fraction is in simplest form when no factor apart from 1 divides into the numerator/ denominator