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3 years ago

What is 6 3/4 divided by 2 5/8?

Mathematics

2 answers:

Zinaida [17]3 years ago

6 0

Conversion a mixed number 6 3/4 to a improper fraction: 6 3/4 = 6 3/4 = 6 · 4 + 3/4 = 24 + 3/4 = 27/4.

To find new numerator:

Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4 = 24/4

Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

Write a previous answer (new numerator 27) over the denominator 4.

Six and three quarters is twenty-seven quarters

Conversion a mixed number 2 5/8

to a improper fraction: 2 5/8 = 2 5/8 = 2 · 8 + 5/8 = 16 + 5/8 = 21/8

To find new numerator:

Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/8 = 16/8

Add the answer from previous step 16 to the numerator 5. New numerator is 16 + 5 = 21.

Write a previous answer (new numerator 21) over the denominator 8.

Two and five eighths is twenty-one eighths

Divide: 27/4 : 21/8 = 27/4 · 8/21 = 27 · 8/4 · 21 = 216/84 = 12 · 18 /12 · 7 = 18/7

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 21/

8 is 8/21) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 12 gives 18/7.

In words - twenty-seven quarters divided by twenty-one eighths = eighteen sevenths.

Katena32 [7]3 years ago

4 0

Answer:

2 4/7!

Step-by-step explanation:

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3 years ago

Read 2 more answers

The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m

kipiarov [429]

Answer:

$900\times 3^m$ = 100

Step-by-step explanation:

The number of visitors is modeled by the expression $900\times 3^m$

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

$900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100$

At m = -2, the value of the above expression is equal to 100.

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3 years ago

Which statement(s) is (are) correct?

Anna71 [15]

Answer:

statements 3 and 4 are correct.

Step-by-step explanation:

(1)

The probability of choosing cured pasta and bear= probability that the card is king.

Hence, The probability of choosing cured pasta and bear= $\dfrac{4}{52}=\dfrac{1}{13}$

Probability of choosing baked cucumber and lime mutton=probability that the card is 3.

as there are 4 cards that are '3'.

Hence Probability of choosing baked cucumber and lime mutton= $\dfrac{4}{52}=\dfrac{1}{13}$

as both the probabilities are equal.

Hence statement 1 is incorrect.

(2)

The probability of choosing gooseberry & passion fruit cheesecake= Probability taht the card is ace.

as there are 4 cards which are ace out of 52 cards.

Hence, The probability of choosing gooseberry & passion fruit cheesecake= $\dfrac{4}{52}=\dfrac{1}{13}$

probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.

As there are 12 face cards out of 52 cards.

Hence, probability of choosing poached fennel & lemon alligator= $\dfrac{12}{52}=\dfrac{3}{13}$

Hence, the probability of choosing gooseberry and passion fruit cheesecake is smaller than the probability of choosing poached fennel & lemon alligator.

Hence statement 2 is false.

(3)

The probability of choosing a praline wafer=probability that the card is a diamond.

as there are 13 diamond cards out of 52 cards.

The probability of choosing a praline wafer= $\dfrac{13}{52}=\dfrac{1}{4}$

the probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.

As there are 12 face cards out of 52 cards.

Hence, probability of choosing poached fennel & lemon alligator= $\dfrac{12}{52}=\dfrac{3}{13}$

Hence, The probability of choosing a praline wafer is greater than the probability of choosing poached fennel & lemon alligator.

Hence statement 3 is correct.

(4)

The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.

As there are 26 red cards out of 52 cards.

Hence,

The probability of choosing pressure-cooked mushroom & garlic chicken = $\dfrac{26}{52}=\dfrac{1}{2}$

probability of choosing an oven-baked apple & lavender calzone =probability that the card is black.

As there are 26 red cards out of 52 cards.

Hence, probability of choosing an oven-baked apple & lavender calzone= $\dfrac{26}{52}=\dfrac{1}{2}$

Hence, The probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing an oven-baked apple & lavender calzone are the same.

Hence statement 4 is true.

(5)

The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.

As there are 26 red cards out of 52 cards.

Hence,

The probability of choosing pressure-cooked mushroom & garlic chicken = $\dfrac{26}{52}=\dfrac{1}{2}$

the probability of choosing a praline wafer=probability that the card is a diamond.

as there are 13 diamond cards out of 52 cards.

The probability of choosing a praline wafer= $\dfrac{13}{52}=\dfrac{1}{4}$

Hence, the probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing a praline wafer are not same.

Hence, statement 5 is not correct.

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3 years ago

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luda_lava [24]

Answer:

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Step-by-step explanation:

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3 years ago

Orignal Price =$20 % Markup = 22% Whats my answer? ASAP!

I am Lyosha [343]

Answer:

$20 x 122% = $24.40

or look at it this way:

$20 x 1.22 = $24.40

Step-by-step explanation:

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2 years ago