2. You have 72 red beads, 120 white beads and 192 blue beads. You want to use all the beads
to make bracelets that have red, white and blue beads on each. What is the largest number
of bracelets you can make ?
Dl. Required number of bracelets = HCF of 72, 120 and 1922
2 192
272
2 120
2 96
236
2 60
2 48
2 18
2 30
2 24
3 9
3 15
2 12
3 3
5 5
2 6
1
3 3
Answers
Answer:
In a question like this, you are trying to find the Highest Common Denominator, or HCF. This can be done manually, by finding all the factors of 42
(
1
,
2
,
3
,
6
,
7
,
14
,
21
,
42
)
, all the factors of 72
(
1
,
2
,
3
,
4
,
6
,
8
,
9
,
12
,
18
,
24
,
36
,
72
)
, and comparing them to see that their HCF is
6
. Or, it can be done by dividing both numbers,
=
72
42
, simplifying the fraction
=
12
7
, then dividing the starting number with the new simplifiied number, remembering always to divide numerator with numerator and denominator with denominator.
72
12
=
6
or
42
7
=
6
This process works with any two numbers which you want to find the HCF of, and can be simplified into this rule:
If
a
=
any number,
b
=
any number and
c
d
is the simplified fraction of
a
b
,
The HCF
=
a
c
or
=
b
d
I hope that helped!
Answer:
24
is the answer
hope it helps