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When dividing by a fraction, it is actually a multiplication. All you need to do is flip the second fraction over. This is known as the reciprocal. In this example the fraction we want to flip is 7/12. Fl...

1/2n² + 1/2n + 1

This is a hard one and maybe closer to a maths challenge question. It is easier to explain in person.

First common difference is 1 then 2 then 3 ...

So we're going to solve this question using the elimination method. Now we can see that none of the x or y terms are the same in the 2 equations, so we have to make them the same. The easiet way to do thi...

When starting with a fraction with 2 individual components, before any addition, subtraction or simplification can take place, the first step will be making them both having the same denominator. Once you...

Answer: 1/115

The easiest way to solve this problem is to draw part of a tree diagram to see the probabilites of each colour being picked each time Laura pulls a ball out of the bag (a full diagram...