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Leno4ka [110]
3 years ago
7

When you divide a whole number by a decimal less than 1, the quotient is greater than the whole number. Why?

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Because division is repeated subtraction.

For example: "10 divided by 2" means "How many times can you
subtract 2 from 10 before the 10 is all gone ?".

When you divide a whole number by ' 1 ', you're trying to find out
how many times you can subtract ' 1 ' from the whole number. 
Of course, the answer is the whole number itself.

Now, when you divide a whole number by a piece less than ' 1 ',
you're trying to find out how many times you can take a piece of ' 1 '
away from the whole number.  Of course THAT will be more times
than the whole number itself.

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================================================

Explanation:

vowels = {a, e, i, o, u}

consonants = anything but a vowel (eg: the letter R)

There are 26 letters in the English alphabet. Five of which are vowels, so there are 26-5 = 21 consonants.

The ratio of consonants to vowels is 21:5

The <u>order is important</u> because the number of consonants must be listed first, simply because "consonants" is mentioned first in the phrasing "ratio of consonants to vowels". In other words, writing 5:21 would mean the ratio of vowels to consonants.

The ratio 21:5 cannot be reduced further since 21 and 5 have no factors in common (other than 1).

------------------------------

The other ratios will follow a similar idea as mentioned in the previous section.

To get the ratio of vowels to total letters, we list the number of vowels first (5) follow by the number of letters (26). A colon separates the two numbers to form the ratio 5:26

This ratio cannot be reduced further.

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Like in the previous sections, we'll glue together two numbers to form a ratio. In this case, we have 26 letters glued with 21 consonants to form the ratio 26:21 and this represents the ratio of total letters to consonants.

This ratio cannot be reduced further.

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\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ t&1 \end{array}\implies \cfrac{8}{t}=\cfrac{~~\frac{5}{6}~~}{1}\implies \cfrac{8}{t}=\cfrac{5}{6}\implies 48=5t \\\\\\ \cfrac{48}{5}=t\implies 9\frac{3}{5}=t

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