Reduce 3/9*13/12+12*8.

Solve equations with fractions coefficients In the following exercises, solve the equation by clearing the fractions.
${\displaystyle \frac{5}{8}b+\frac{1}{2}=-\frac{3}{4}}$

To determine the effect their salespeople have on purchases, a department store polled 700 shoppers regarding whether or not they made a purchase and whether or not they were pleased with the service they received. Of those who made a purchase, 151 were happy with the service and 133 were not. Of those who made no purchase, 221 were happy with the service and 195 were not. Use probability rules (when appropriate) to find the probability of the event stated. (Enter your answers as fractions.)
(a) A shopper made a purchase.
(b) A shopper did not make a purchase.

Solve $$\frac{2}{7}+\frac{6}{7}=$$?

Rewrite each number in the Simple form Drag the numbers to create your fractions.
1.${\displaystyle -7\frac{3}{4}=}$
2.${\displaystyle -2\frac{1}{2}=}$
3.${\displaystyle 1\frac{3}{5}=}$

What fraction is equivalent to 1/3?

Inequality Challenge with $a+b+c=3$
I tried to prove this inequality, but I failed. It seemed that if one uses Cauchy-Schwarz inequality on the right hand side, it may expand RHS's value larger than LHS's. Problem is presented as follows:
If $a,b,c\ge 0$ and $a+b+c=3$, prove that
$2(ab+bc+ca)-3abc\ge a\cdot \sqrt{\frac{b^2+c^2}{2}}+b\cdot \sqrt{\frac{c^2+a^2}{2}}+c\cdot \sqrt{\frac{a^2+b^2}{2}}$

How do you write 0.285 as a fraction in simplest terms?