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Vinvika [58]
2 years ago
7

What are two rational numbers between -3/4 and -2/3​

Mathematics
1 answer:
Vadim26 [7]2 years ago
8 0

The two rational numbers between -  \frac{3}{4}and -  \frac{2}{3}is -  \frac{32}{48},-  \frac{36}{48}

<h3>How to find the rational numbers between -3/4 and -2/3?</h3>

In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).

given that -3/4 and -2/3

now take L.C.M between these two rational numbers is 12.

now multiply -3/4 with 3 both numerator and denominator

-  \frac{3}{4}  \times  \frac{3}{3}  =   - \frac{ 9}{12}

again multiply -9/12 with 4 both numerator and denominator

-  \frac{9}{12}  \times  \frac{4}{4}  =  -  \frac{36}{48}

now multiply -2/3 with 4 both numerator and denominator

-  \frac{2}{3}  \times  \frac{4}{4}  =  -  \frac{8}{12}

again multiply -8/12 with 4 both numerator and denominator

-  \frac{8}{12}  \times  \frac{4}{4}  =  -  \frac{32}{48}

Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3

Learn more about rational numbers, refer:

brainly.com/question/12088221

#SPJ9

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What number is 76.8% of 42.5
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To get the solution, we are looking for, we need to point out what we know. 

<span>1. We assume, that the number 42.5 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 42.5 is 100%, so we can write it down as 42.5=100%. </span>
<span>4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. </span>
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 76.8% of 42.5

42.5/x=100/76.8
<span>(42.5/x)*x=(100/76.8)*x       - </span>we multiply both sides of the equation by x
<span>42.5=1.30208333333*x       - </span>we divide both sides of the equation by (1.30208333333) to get x
<span>42.5/1.30208333333=x </span>
<span>32.64=x </span>
x=32.64

<span>now we have: </span>
<span>76.8% of 42.5=32.64</span>
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The Statue of Liberty weighs about 2.04 x 105 kg. The Washington Monument weighs about 9.07 x 107 kg. About how many more kilogr
AleksAgata [21]

Answer:

9.05 *  10^{7} kg

Step-by-step explanation:

Given

Statue\ of\ Liberty\ =\ 2.04 * 10^5 kg

Washington\ Monument\ =\ 9.07 * 10^7 kg

To get the number of kilograms the Washington Monument weighs more than the Statue of Liberty, we simply calculate the difference;

Difference = Washington Monument - Statue of Liberty

Difference = \ 9.07 * 10^7 kg - \ 2.04 * 10^5 kg

Expand 10^7

Difference = \ 9.07 * 10^{5+2} kg - \ 2.04 * 10^5 kg

Difference = \ 9.07 * 10^{5} * 10^2 kg - \ 2.04 * 10^5 kg

Take out the common factor in the above expression

Difference = 10^{5}\ (\ 9.07  * 10^2 kg - \ 2.04\ kg)

10^2 = 100; <em>so we have</em>

Difference = 10^{5}\ (\ 9.07  * 100 kg - \ 2.04\ kg)

Difference = 10^{5}\ (\ 907 kg - \ 2.04\ kg)

Difference = 10^{5}\ (904.96\ kg)

Open bracket

Difference =904.96 *  10^{5} kg

Write in standard form

Difference =9.0496 * 10^2 * 10^{5} kg

Difference =9.0496 * 10^7  kg

Difference =9.05 * 10^7  kg (Approximated)

Hence, he Washington Monument weigh more than the Statue of Liberty by about 9.05 *  10^{7} kg

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