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mestny [16]
3 years ago
8

Tutor me!

Mathematics
1 answer:
choli [55]3 years ago
8 0

Questions:

<h3><u>Let's start easy.</u></h3>

5\frac{2}{3} -\frac{1}{4}

<h3><u>Next up, let's make it a bit harder:</u></h3>

Ella is baking cookies to put in packages for a fundraiser. Ella has made 86 chocolate chip cookies and 42 sugar cookies.

Ella wants to create identical packages of cookies to sell, and she must use all of the cookies.

What is the greatest number of identical packages that Ella can make?

\frac{17}{3} -\frac{1}{4}

\frac{17x4-3x 4 }{12} \\\\\frac{68-12}{12} \\\\\frac{56}{12} =\frac{28}{6}=\frac{14}{3}

Multiply the denominators to make it one fraction.

Now for the numerator, you multiply the numerator of the the 1st fraction with the second fractions denominator. Then Multiply the 1st fractions denominator with the 2nd fractions numerator. Now with those two numbers you Subtract it. Whatever number you get is the numerator. So there is the fraction. You would just simplify it. (IF you want to add fractions instead of subtracting the numerators, you add the numerators. Like instead of 68-12 you would do 68+12

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What is simpler answer to 28 over 35
Maurinko [17]
<span>To find the simplest form of a fraction, you have to find the greatest common factor (GCF). To do so, list out the factors of the numerator (28) and the denominator (35) and find the biggest common number between the two numbers.
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Factors of 28: 1, 2, 4, 7, 14, 28
<span>Factors of 35: 1, 5, 7, 35
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Out of those factors, we can see that 1 and 7 are the common factors, but 7 is the greatest which makes it our GCF. 

<span>Now we can divide the numerator and the denominator by the GCF to receive our simplest form.
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28 ÷ 7 = 4

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<span>Rewrite the fraction with the new numerator (4) and the new denominator (5).
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The simplest form is: 4/5 or 0.8.
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3 years ago
A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is
olchik [2.2K]

Answer: \frac{5}{16}


Step-by-step explanation:

Given: A fair coin is tossed 5 times in a row.

Total outcomes=2×2×2×2×2=32 [total outcomes in a coin is 2]

Let A be the event of getting heads exactly 2 times

Then the favorable outcomes=^5C_2

=\frac{5!}{2!(5-2)!}=\frac{5\times4\times3!}{2!\times3!}\\=\frac{5\times4}{2}=10

Then probablity of getting heads exactly 2 times =

P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total outcomes}}\\\Rightarrow\ P(A)=\frac{10}{32}\\\\\Rightarrow\ P(A)=\frac{5}{16}

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