Problem Solving with fractions II

As with all problem solving situations, one of the trickiest things is 'mathematising' the question.  Mathematising is finding the mathematics within the words.  

Unfortunately I can't give you any shortcuts or rules to make this easy for you, (my first suggestion is for you to practice a lot), but there are a few clues you can often find in the questions. 

I'm just going to show you some questions, and circle the words where the mathematics is hiding!

Question 1

Shared equally is a clue to DIVISION. Mathematising this question gives you $\frac{3}{5}\div4$35​÷​4.

Question 2

Full price would be $\frac{7}{7}$77​, so to find the full price we would find $\frac{1}{7}\times384$17​×384 and then get $\frac{7}{7}$77​ by multiplying by $7$7.  

Question 3

If $\frac{1}{2}$12​ are boys, then the remaining class are assumed to be girls.  So $1-\frac{1}{2}$1−12​are girls, which equals $\frac{1}{2}$12​. Therefore, because $10$10 boys represents half the class, then there must also be $10$10 girls (the other half of the class).

 

QUESTION 4

QUESTION 5

QUESTION 6