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Nataliya [291]
3 years ago
8

What is 1/8 subtract 5/8 in simplest form

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

The fraction 1/8 is alread in the simplest form, so it isn't possible to reduce it any further.

This is a PROPER FRACTION once the absolute value of the top number or numerator (1) is smaller than the absolute value of the bottom number or denomintor (8).

The fraction 1/8 is equal to 1÷8 and can also be expressed in decimal form as 0.125.

How to reduce a fraction

Among different ways simplifying a fraction, we will show the two procedure below:

Method 1 - Divide by a Small Number When Possible

Start by dividing both the numerator and the denomiator of the fraction by the same number, and repeat this until it is impossible to divide. Begin dividing by small numbers like 2, 3, 5, 7. For example,

Simplify the fraction 42/98

First divide both (numerator/denominator) by 2 to get 21/49.

Dividing by 3 and 5 will not work, so,

Divide both numerator and denominator by 7 to get 3/7. Note: 21 ÷ 7 = 3 and 49 ÷ 7 = 7

In the fraction 3/7, 3 is only divisible by itself, and 7 is not divisible by other numbers than itself and 1, so the fraction has been simplified as much as possible. No further reduction is possible, so 42/98 is equal to 3/7 when reduced to its lowest terms. This is a PROPER FRACTION once the absolute value of the top number or numerator (3) is smaller than the absolute value of the bottom number or denomintor (7).

Method 2 - Greatest Common Divisor

To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the GCD (Greatest Common Divisor).

For example, 3/4 is in lowest form, but 6/8 is not in lowest form (the GCD of 6 and 8 is 2) and 6/8 can be written as 3/4. You can do this because the value of a fraction will remain the same when both the numerator and denominator are divided by the same number.

Hope that helps and please give me Brainliest

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Step-by-step explanation:

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4 years ago
Whats the slope intercept form for the points [5,2] and [0,-1]
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Answer:

\displaystyle y=\frac{3}{5}x-1

Step-by-step explanation:

<u>The Equation of a Line</u>

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope and b the y-intercept.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

We are given the points (5,2) and (0,-1), thus:

\displaystyle y-2=\frac{-1-2}{0-5}(x-5)

Operating:

\displaystyle y-2=\frac{-3}{-5}(x-5)

\displaystyle y-2=\frac{3}{5}(x-5)

To find the slope-intercept form, we continue to simplify the expression:

Removing the parentheses:

\displaystyle y-2=\frac{3}{5}x-\frac{3}{5}\cdot 5

\displaystyle y-2=\frac{3}{5}x-3

Adding 2:

\displaystyle y=\frac{3}{5}x-3+2

\mathbf{\displaystyle y=\frac{3}{5}x-1}

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3 years ago
Functionally important traits in animals tend to vary little from one individual to the next within populations, possibly becaus
Jet001 [13]

Answer:

The 95% confidence interval for the standard deviation is (0.14, 0.54).

Step-by-step explanation:

The complete data and question is:

Sloth CW Ratios ; {1.5 , 1.09 , 0.98 , 1.42 , 1.49 , 1.25}

The 95% confidence interval for the standard deviation of this data is  < σ <   (two decimals - include the leading zero) .

Solution:

Compute the sample standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{6}\times 7.73=1.2883\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{6-1}\times 0.2387}=0.2185

The (1 - <em>α</em>)% confidence interval for the variance is:

CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}

Confidence level = 95%

⇒ α = 0.05

The degrees of freedom is,

df = n - 1 = 6 - 1 = 5

Compute the critical values of Chi-square:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,5}=12.833\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{0.975,5}=0.831

*Use a Chi-square table.

Compute the 95% confidence interval for the variance as follows:

CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}

     =\frac{5\times (0.2185)^{2}}{12.833}

Thus, the 95% confidence interval for the standard deviation is (0.14, 0.54).

8 0
4 years ago
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