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3 years ago

What is 25/1000 reduced

1 answer:

3 0

When we are reducing we divide numerator and denomerator by the same number.
$\frac{25}{1000}= \frac{25:5}{1000:5}= \frac{5}{200}= \frac{5:5}{200:5}= \frac{1}{40}$ - its reducoed form

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Add 1/4 + 5/14 +6/7 Simplify the answer and write it as a mixed number.

zhannawk [14.2K]

Answer:

$\frac{41}{28}$ = $1\frac{13}{28}$

Step-by-step explanation:

In order to add fractions, the denominators must all be the same value (the lowest common denominator). The lowest common denominator is the smallest value that all of the given denominators (in this case, the denominators are 4, 14, and 7) can divide into.

Here, the smallest number that all three of the given denominators can perfectly divide into is 28:

28 ÷ 4 = 7

28 ÷ 14 = 2

28 ÷ 7 = 4

Therefore, our lowest common denominator is 28.

The next step is to change our numerators to match our lowest common denominator. To do this, we have to multiply the numerator by the same value that we would need to multiple the denominator by in order to get our lowest common denominator.

For our first term of 1/4, we need to multiply our denominator (4) by 7 in order to get our lowest common denominator of 28. So, we need to also multiply our numerator by 7:

$\frac{1}{4}$ × $\frac{7}{7}$ = $\frac{7}{28}$

Therefore, our first term becomes $\frac{7}{28}$ .

For our second term of 5/14, we need to multiply our denominator (14) by 2. So, we need to also multiply our numerator by 2:

$\frac{5}{14}$ × $\frac{2}{2}$ = $\frac{10}{28}$

Therefore, our second term becomes $\frac{10}{28}$ .

For our third term of 6/7, we need to multiply our denominator (7) by 4. So, we need to also multiply our numerator by 4:

$\frac{6}{7}$ × $\frac{4}{4}$ = $\frac{24}{28}$

Therefore, our third term becomes $\frac{24}{28}$ .

Now that they all have the same denominator, we simply have to add all three together:

$\frac{7}{28}$ + $\frac{10}{28}$ + $\frac{24}{28}$ = $\frac{41}{28}$

When we simplify this into a mixed number, we get:

$\frac{41}{28}$ = $1\frac{13}{28}$

4 0

3 years ago

Read 2 more answers

earnstyle [38]

Answer:

It will take 10 months to build the same number of houses.

7 0

3 years ago

If you flip two fair coins, what is the probability of flipping heads on the first coin and tails on the second coin?

vampirchik [111]

Answer:

I believe 25%

Step-by-step explanation:

There are four equally likely outcomes: HH, HT, TH and TT. Of these, one of these match the criterion given ("the first will come up heads and the second tails”). So the probability is 1/4= 25%.

6 0

3 years ago

Help please. I cant figure it out and it’s hard.

aivan3 [116]

Answer:

The student is comparing the different heart rates due to the temperature. The independent variable is the Temperature and the dependent variable is the beats of the heart from the larva.

7 0

3 years ago

The director of a radio broadcasting company wants to determine whether the mean length of commercials on his station is equal t

denpristay [2]

Answer:

The value of t test statistics is 4.518.

Step-by-step explanation:

We are given that director of a radio broadcasting company wants to determine whether the mean length of commercials on his station is equal to 24 seconds.

He samples 200 commercials, and finds that the average length of these commercials is 26.3 seconds, with a standard deviation of 7.2 seconds.

Let $\mu$ = mean length of commercials on his station.

So, Null Hypothesis, $H_0$ : $\mu$ = 24 seconds {means that the mean length of commercials on his station is equal to 24 seconds}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 24 seconds {means that the mean length of commercials on his station is different from 24 seconds}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average length of these commercials = 26.3 seconds

s = sample standard deviation = 7.2 seconds

n = sample of commercials = 200

So, test statistics = $\frac{26.3-24}{\frac{7.2}{\sqrt{200} } }$ ~ $t_1_9_9$

= 4.518

The value of t test statistics is 4.518.

3 0

3 years ago