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sukhopar [10]
3 years ago
14

33/36 in it's simplest form

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0
\frac{33}{36} = \frac{3\times 11}{3\times 12} = \huge{\boxed{\frac{11}{12}}}
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There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one. EXPL
Gennadij [26K]

Answer:

Since a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb,  we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Step-by-step explanation:

Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1

Since \lim_{n \to \infty} \frac{a}{2^{n}b } = a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.

Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb and

a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.

So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

3 0
3 years ago
What is the value of this expression? 6 (24÷ 3) - 2​
Makovka662 [10]

Answer:

6 (24÷3) -2

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2 years ago
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OlgaM077 [116]

Answer:

Step-by-step explanation:

<

Hope that helps!

4 0
3 years ago
joshua drinks 8 cups of water a day. The recommended daily amout is given in fluid ounces.How many fluid ounces of water does he
olga nikolaevna [1]
1 cup = 8 fluid oz

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So Joshua drinks 64 fluid ounces a day

Hope this helped. Have a great day!
5 0
2 years ago
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horsena [70]

Answer:

-1

Step-by-step explanation:

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3 years ago
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