Let's break down each question step by step comprehensively:
1. There are 36 apples in a box and 9 learners.
a) What fraction of the apples does each learner get?
To determine the fraction of apples each learner gets, we divide the total number of apples by the total number of learners.
[tex]\[
\text{Fraction of the apples each learner gets} = \frac{36}{9} = 4.0
\][/tex]
Therefore, each learner gets [tex]\( \frac{4.0}{36} \)[/tex]th of the apples.
b) How many apples does each learner get?
Using the same division, we also find out how many apples each learner receives.
[tex]\[
\text{Apples per learner} = \frac{36}{9} = 4.0
\][/tex]
Each learner gets 4 apples.
2. Work out the fraction.
a) ½ of 27 nuts
To find half of 27 nuts, multiply 27 by [tex]\( \frac{1}{2} \)[/tex].
[tex]\[
\frac{1}{2} \times 27 = 13.5
\][/tex]
So, half of 27 nuts is 13.5 nuts.
b) ⅓ of 63 cookies
To find one-third of 63 cookies, multiply 63 by [tex]\( \frac{1}{3} \)[/tex].
[tex]\[
\frac{1}{3} \times 63 = 21.0
\][/tex]
So, one-third of 63 cookies is 21.0 cookies.
c) ⅕ of 45 oranges
To determine one-fifth of 45 oranges, multiply 45 by [tex]\( \frac{1}{5} \)[/tex].
[tex]\[
\frac{1}{5} \times 45 = 9.0
\][/tex]
One-fifth of 45 oranges is 9.0 oranges.
d) 1 ½ of 90 plums
To find 1 ½ of 90 plums, convert 1 ½ to a decimal (which is 1.5) and multiply it by 90.
[tex]\[
1.5 \times 90 = 135.0
\][/tex]
Therefore, 1 ½ of 90 plums is 135.0 plums.
