Hawaii 0.288% = what fraction

Mathematics

1 answer:

Sindrei [870]3 years ago

4 0

Answer:

36⁄125 or if we are talking about the lowest term it is 9 /3125

Step-by-step explanation:

Step 1: 0.288 = 288⁄1000

Step 2: Simplify 288⁄1000 = 36⁄125 Percent" or "%" means "out of 100" or "per 100",

<em>Or for the lowest term:</em>

Therefore 0.288% can be written as

0.288

100

Next, we can multiply by

in the form of

1000

to eliminate the decimal in the numerator:

1000

0.288

100

⇒

1000

0.288

1000

100

⇒

288

100000

We can now reduce the fraction as:

288

100000

⇒

3125

⇒

3125

⇒

3125

You might be interested in

You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo

taurus [48]

Answer:

We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

1+2+4+8+16+32+64+128+256+489=1000
Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since $x-489\leq511$ , by 2) we know that this would be possible.