Two-quarters of 36 equals what.
In this problem, we’re being asked
to find part of a number, a fraction of a number. And that fraction is
two-quarters. What’s two-quarters of 36
worth? We can find the answer by first
finding one-quarter of 36 and then doubling it. Remember that when we find
one-quarter of a shape or a number, what we have to do is divide that shape or
number into four equal parts.
So to find one-quarter of 36, we
need to divide 36 into four. How many fours are there in 36? Let’s arrange 36 counters to show
what the number 36 looks like. Here are 36 counters. There’re nine rows and there’re
four in each row. So we can say that nine lots of
four or nine multiplied by four equals 36. And so if we divide 36 into four
equal parts to help us find a quarter, we’ll find that each part or each quarter is
worth nine. There are nine fours in 36. One-quarter of 36 equals nine.
But the question isn’t asking us to
find one-quarter of 36. Instead, we need to find
two-quarters of 36. If one-quarter of 36 is nine, then
two-quarters of 36 will be worth nine plus nine, two lots of nine. Nine doubled equals 18. And so we can say two-quarters of
36 equals 18.
There is another way we could find
the answer. And that’s by using our knowledge
of fractions to help. We know that two-quarters is
exactly the same as a half. What if we found half of 36
instead. To do this, we can partition 36
into 30 and six. Half of 30 is 15. And half of six is three. Now, all we need to do is to add 15
and three together to find half of 36. 15 plus three equals 18.
We found the answer in two
different ways. The first way, we found
two-quarters of 36. First, we found one-quarter. And then, we doubled it to find the
value of two-quarters. In our second method, we recognised
that two-quarters was actually the same as a half. So we could just find half of
36. Whether we look for two-quarters or
one-half, we still get the same answer.
Two-quarters of 36 equals 18.