A group of 12 students participated in a dance competition. Their scores are in the image attached

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0

3 years ago

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756 divided by 36 <br> plz need help

Alenkasestr [34]

Answer:

21

Step-by-step explanation:

I did the math.

5 0

3 years ago

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What is f(5) if f(1) = 3.2 and f(x + 1) = (f(x))?

scoray [572]

Answer:

The value of f(5) is 3.2.

Step-by-step explanation:

It is given that f(1) = 3.2 and

$f(x+1)=f(x)$

Substitute x=1 in the above equation.

$f(1+1)=f(1)$

$f(2)=3.2$

Substitute x=2 in the given equation.

$f(2+1)=f(2)$

$f(3)=3.2$

Substitute x=3 in the given equation.

$f(3+1)=f(3)$

$f(4)=3.2$

Substitute x=4 in the given equation.

$f(4+1)=f(4)$

$f(5)=3.2$

Therefore the value of f(5) is 3.2.

5 0

3 years ago

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How do I solve for Log(x+3)+log2=3 ?

Rzqust [24]

Answer: x = 995

Step-by-step explanation:

In this equation our log doesn't have a base so it is given the default base of 10. This makes our equation really.

$log_{10}(x+3) + log_{10}(2) = 3$

Now we put every equation as the exponent of our base 10 looks like this:

$10^{log_{10} (x+3)} + 10^{log_{10} (2)} = 10^{3}$

Now we cancel out the log base 10 and the 10. We are left with:

(x+3) + (2) = 10^3

Lastly solve for x

x + 5 = 1000

x = 995

7 0

3 years ago

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Rewrite 7<img src="https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="x^{\frac{1}{2}" alt="x^{\frac{1

swat32

Basically, the denominator will always be the number outside of the radical and the numerator will always be your exponent. If it’s one, you don’t put it in because if there is no exponent, it’s an invisible one

8 0

3 years ago

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