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kramer
3 years ago
6

I need help adding and subtracting fractions. I dont really get how you change the denominations. ​

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

Answer:

Here to help! See explanation

Step-by-step explanation:

Hey there! It's really simple once you get the hang of it, I'll show you!

Example:

\frac{1}{3} + \frac{3}{4}

First, we have to remember that we can't add fractions with different denominators. So we have to look for the least common denominator, also known as the least common multiple.

In this case, the smallest number that both 3 and 4 make is <em>12.</em>

Now, we have to multiply both fractions by what it takes to get to twelve. 3 has to be multiplied by 4, and 4 by 3.

( \frac{1}{3} )*4 = \frac{4}{12} \\\\

(\frac{3}{4} ) *3= \frac{9}{12}

Now that we have the same denominator, all we have to do is add the numerators.

\frac{4}{12} + \frac{9}{12} =\frac{13}{12}  = 1\frac{1}{12}

I hope this helped!

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4 years ago
1 Solve for the unknown variable:
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Answer:

Approximately 6.4

Step-by-step explanation:

We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c

:(5^2)+(4^2)=c^2

:25+16=c^2

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:sqrt(41)=6.4=c              (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!

8 0
3 years ago
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3. What is the relative frequency of a
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3 years ago
What value of k makes the equation true? (5a^2 b^3)(6a^k b)=30a^6 b^4
Ratling [72]

we are given

(5a^2 b^3)(6a^k b)=30a^6 b^4

Firstly, we will simplify left side

and then we can solve for k

Left side is

(5a^2 b^3)(6a^k b)

we can arrange like terms

(5a^2 6a^k)(b^3 b)

(5\times 6 a^2a^k)(b^3 b)

(30 a^2a^k)(b^3 b^1)

now, we can use property of exponent

a^m \times a^n=a^{m+n}

(30 a^{2+k})(b^{3+1})

30a^{2+k}b^{4}

now, we can equate it with right side

and we get

30a^{2+k}b^{4}=30a^6 b^4

We can see that both sides have 30 , a and b

and they are equal

so, exponent of a must also be equal

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4 years ago
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9514 1404 393

Answer:

  21.25 seconds

Step-by-step explanation:

In miles per second, the speed of the jet is ...

  (720 mi/h)/(3600 s/h) = 1/5 mi/s

The speed of the sound is the same:

  (1 mi)/(5 s) = 1/5 mi/s

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  (1/5 mi/s) +(1/5 mi/s) = 2/5 mi/s

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The pilot will hear the thunder 21.25 seconds after the flash.

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