Part of an Amount - Examples, Exercises and Solutions

To work out what the marked part is, we need to count how many coloured squares there are compared to how many squares there are in total.

If we count the coloured squares, we see that there are four such squares.

If we count all the squares, we see that there are seven in all.

Therefore, 4/7 of the squares are shaded in red.

We can see that there are three shaded parts out of six parts in total,

that is - 3/6

But this is not the final answer yet!

Let'snotice that this fraction can be reduced,

meaning, it is possible to divide both the numerator and the denominator by the same number,

so that the fraction does not lose its value. In this case, the number is 3.

3:3=1
6:3=2

And so we get 1/2, or one half.
And if we look at the original drawing, we can see that half of it is colored.

The number line forms a kind of track, on which there are lines (marks), each representing a number in ascending order,

The numbers go from left to right, meaning on the left side there is always a smaller number, and on the right a larger one.

The spaces between the marks are always fixed, so if we count the "steps" between the numbers we know,

for example between 0.2 and 1, we can see that it's four steps, meaning between each line there is a jump of 0.2.

The question we are being asked is where on the line is 1.4, therefore, we can start from the line that represents the number 1,

and move from it enough steps until we reach 1.4. In this case, it's two steps.

We need to understand that every fraction is actually a division exercise,

so when we divide 10 tickets among 9 people,

we are dividing 10 by 9

that is 10:9

The division exercise can also be written as a fraction

and that's the solution!