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3 years ago

Find an equivalent fraction with the lowest common denominator. 9/10+2/3

Mathematics

2 answers:

mafiozo [28]3 years ago

8 0

Answer: 1-17/30, or 47/30

Step-by-step explanation:

Find the common denominator. In this case, it’s 30. Multiply the numerators to fit the new denominator. (10•3=30, so 9•3=27, and 2•10=20.)

Your new fractions are 27/30 and 20/30. Now add the numerators.

27+20=47.

Your new fraction is 47/30.

Now check if you can simplify. Since 47 is a prime number, this fraction is in its simplest form. However, it is an improper fraction, so you can simplify it to 1-17/30.

SIZIF [17.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

9/10+2/3

The LCM = 30

9/10+2/3

= {9(3) + 2(10)}/30

= (27 + 20)/30

= 47/30

= 1 17/30

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Binomial Theorem, proof

IrinaVladis [17]

It follows from the definition of the binomial coefficient:

$\dbinom nr=\dfrac{n!}{r!(n-r)!}$

So we have

$(n+1)\dbinom nr=(n+1)\dfrac{n!}{r!(n-r)!}=(r+1)\dfrac{(n+1)!}{(r+1)!(n-r)!}$

That is, $(n+1)$ gets absorbed into the numerator's factorial, and we introduct $(r+1)$ into the denominator. Now, $(n+1)-(r+1)=n-r$ , so we get

$(n+1)\dbinom nr=(r+1)\dfrac{(n+1)!}{(r+1)!((n+1)-(r+1))!}=(r+1)\dbinom{n+1}{r+1}$

as required.

4 0

3 years ago

In 2decimal places 39.98015

Morgarella [4.7K]

Answer:

39.98

Explanation:

39.98015

0 < 5, so 2nd decimal stays at 8

6 0

2 years ago

Read 2 more answers

(99 POINTS, ANSWER PROPERLY) What is 5 - 7, plus 2, minus 6, divided by 2, plus 24, to the power of 3, multiplied by 7000, minus

Blababa [14]

<h3>Answer:</h3>

96,767,921

<h3>Step-by-step explanation:</h3>

5 - 7 + 2 - 6 ÷ 2 + 24^3 * 7000 - 76 = 96,767,921

Exponentiation is performed first, followed by multiplication and division in their order of appearance.

= 5 - 7 + 2 - 6 ÷ 2 + 13,824 · 7000 -76

= 5 - 7 + 2 - 3 + 96,768,000 -76

Then addition and subtraction are peformed in the order of appearance. (The commutative and associative laws apply.)

= (5 -7 +2) +96,768,000 -3 -76

= 96,767,921

_____

A Google or Bing search box will evaluate an arithmetic expression strictly according to the order of operations. Your result is attached. The preferred symbols are * (asterisk) for "times" and / (slash) for "divided by". The usual ^ (caret) is used for "to the power of." If you intend grouping, parentheses are required.