Question

How do you subtract 5/6 - 5/9 then write it as a fraction in simplest form?

Answer 1

To subtract two fractions we can use the following:

$\frac{a}{b}-\frac{c}{d}=\frac{(a\cdot d)-(b\cdot c)}{b\cdot d}$

So 5/6 - 5/9 is equal to:

$\frac{5}{6}-\frac{5}{9}=\frac{(5\cdot9)-(6\cdot5)}{6\cdot9}=\frac{45-30}{54}=\frac{15}{54}$

Finally, we can simplify the fraction dividing the numerator and denominator by 3, as:

$\frac{15}{54}=\frac{15/3}{54/3}=\frac{5}{18}$

So, the answer is 5/18

Answer: 5/18