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rusak2 [61]
3 years ago
9

Sum of 1/3, 1/5 and 1/6 in simplest form

Mathematics
2 answers:
azamat3 years ago
6 0

Answer:

7/10

Step-by-step explanation:

1/3 + 1/5 = 8/15

8/15 + 1/6 = 21/30

21/30 = 7/10

LenKa [72]3 years ago
6 0

Answer:

{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}

\frac{1}{3}  +  \frac{1}{5}  +  \frac{1}{6}

First you need to find the LCM of the denominators.

LCM of 3, 5, 6 = <u>30</u>

\frac{1}{3}  \times  \frac{10}{10}  \\  =  \frac{10}{30}

\frac{1}{5}  \times  \frac{6}{6}  \\  =  \frac{6}{30}

\frac{1}{6}  \times  \frac{5}{5}  \\  =  \frac{5}{30}

Now, since the denominators are equal you can easily add them.

\frac{10}{30}  +  \frac{6}{30}  +  \frac{5}{30}  \\  =  \frac{10 + 6 + 5}{30}  \\  =  \frac{21}{30}  \\ =  \frac{7}{10} \\ = 0.7

✏ <u>Answer = </u><u>7</u><u>/</u><u>1</u><u>0</u><u> in fraction form & 0.7 in decimal form.</u>

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}

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so we're really looking for the equation of a line whose slope is 4/3 and runs through 8, -4.


\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})~\hspace{10em} slope =  m\implies \cfrac{4}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{4}{3}(x-8) \implies y+4=\cfrac{4}{3}x-\cfrac{32}{3} \\\\\\ y=\cfrac{4}{3}x-\cfrac{32}{3}-4\implies y=\cfrac{4}{3}x-\cfrac{44}{3}

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A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. a group of eight people spent a total of $86
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andre [41]

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jok3333 [9.3K]

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

<em>"I have added screenshot of the complete question as well as the diagram"</em>

All the angles of the figure are right angles

<u>From the attached figure:</u> <em>we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units</em>

∵ All the angles of the figure are right angles

∴ We can consider that the figure of dimensions 9 units and 5 units

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∵ Area of any rectangle A = L × H , where L, H are the dimensions

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∵ L = 9 units and H = 5 units

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- The dimensions of the cutting part are 3 units and

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∴ The area of the cutting part = 3² = 9 units²

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∴ Area the square = 9 unit²

∴ Area the figure = 45 - 9 = 36 units²

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