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lisov135 [29]
3 years ago
12

-5/12-(-9/3) Reduce to simplest form

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

2 7/12

Step-by-step explanation:

−512−−93=?

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

−512+93=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-5/12, 9/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−5/12×1/1)+(9/3×4/4)=?

Complete the multiplication and the equation becomes

−5/12+36/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−5+36/12=31/12

This fraction cannot be reduced.

The fraction

31/12

is the same as

31÷12

Convert to a mixed number using

long division for 31 ÷ 12 = 2R7, so

31/12=2 7/12

Therefore:

−5/12−−9/3=2 7/12

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Step-by-step explanation:

Solution:-

- The school offers pizza on friday when at-least 30% students are willing to buy.

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- We will denote a random variable X: the number of students willing to buy Pizza on fridays.

- For the sample of n = 50, for Pizza to be offered on friday the expected number of student who should opt for buying must be at-least:

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- The standard deviation for the normal distribution can be determined as follows:

          standard deviation ( s ) = √n*p*(1-p)

                                                 = √50*0.3*(0.7)

                                                 = √10.5 = 3.2404

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Answer: The probability of getting a sample with the proportion or lower given a population with a proportion of .30 is 0.0614.

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<em><u>Question:</u></em>

Is square root of 1.6875 a rational number ?

<em><u>Answer:</u></em>

Square root of 1.6875 a rational number is not a rational number

<em><u>Solution:</u></em>

Given that we have to find square root of 1.6875 and determine if it is rational number or not

Let us first find square root of 1.6875

\sqrt{1.6875} = 1.29903810568

Let us understand about rational number

A rational number is a number that can be expressed as a fraction (ratio) in the form \frac{p}{q} where p and q are integers and q is not zero.

When a rational number fraction is divided to form a decimal value,  it becomes a terminating or repeating decimal.

So the number 1.29903810568 is not a rational number

<em><u>In other words we can say,</u></em>

Only the square roots of square numbers are rational. Here 1.6875 is not a perfect square. So it is not rational number

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