Answer:
The similar shortcut for division works because division is the opposite operation of multiplication—it “undoes” multiplication. If we move the decimal point to the right when multiplying by 10, 100, 1000 and so on, then it is quite natural that the rule for division would work the “opposite” way.
Step-by-step explanation:
The first one you have
=
. To solve this you would multiply both sides by 3.
=x
Then simplify by dividing the numerator and denominator by 3.
=x (or in a mixed fraction 1
)
The second one you have
=
. To solve this you would multiply both sides by x.
x=3
Now you would divide both sides by
.
x=
You now then multiply 3 by 24 and then divide by 7.

x=
(in a mixed fraction would be 10
)
Answer:
3:4
Step-by-step explanation:
find the GCD of both numbers (30) and divide both sides to get 3:4
Answer:
1016.50
Step-by-step explanation:
$21.40 per hour at her job for the first 40
21.40 * 40 =856
She has 5 hours over 40 (45-40 =4)
That means 5 hours at 32.10
5 * $32.10 =160.5
Add the two amounts together
856+160.5
1016.50