1. ## HARDD

49x/3(1/2)

2. Originally Posted by winter149
49x/3(1/2)
Winter, we're here to help you, but unless you have a try of them yourself, what's the point?

The rule of thumb is simplify the easiest parts first, then move to the harder parts...

What we have here is...

$\displaystyle \frac{49x}{3(\frac{1}{2})}$.

Here the bottom is easiest to simplify.

$\displaystyle 3(\frac{1}{2})=3 \times \frac{1}{2} = \frac{3}{1} \times \frac{1}{2} = \frac{3 \times 1}{1 \times 2} = \frac{3}{2}$

So $\displaystyle \frac{49x}{3(\frac{1}{2})}=\frac{49x}{\frac{3}{2}}$.

Now we are dividing by a fraction. Use stay change flip...

$\displaystyle \frac{49x}{\frac{3}{2}}=49x \div \frac{3}{2} = 49x \times \frac{2}{3}$. Do you see how the first term STAYed the same, the divide CHANGEd to a times, and the second term was FLIPped?

Now simplify...

$\displaystyle 49x \times \frac{2}{3} = \frac{49x}{1} \times \frac{2}{3} = \frac{49x \times 2}{1 \times 3} = \frac {98x}{3}$.

Have a go of some on your own, they're not THAT hard...