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Phoenix [80]
3 years ago
9

What is the product in lowest terms?

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
-5/12 × 8/13

First, we need to start out by applying the multiplication rule towards fractions. If you haven't learned or don't remember the rules, you can always look up fraction rules. The rule is: a/b × c/d = ac/bd. Basically, we are combining the numerators and both of the denominators.
- \frac{5 \times 8}{12 \times 13}

Second, let's now multiply what we have in the fraction. (5 × 8 = 40) and (12 × 13 = 156). Doing so will create a new fraction for us to use.
-\frac{40}{156}

Third, now obviously, we can simplify the fraction we just got into lower terms. To do that, we have to collect the greatest common factor (GCF) of both the numerator and denominator and list their factors to find the common factor that is the greatest.

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Out of the listed factors, which of those are the common ones? 1, 2, and 4 are the common factors. Since we are looking for the greatest common factor, it would be 4 since that is the higher number out of the commons. The GCF is 4.

Fourth, we can now divide our numerator (40) and our denominator (156) by the GCF we just found out, which was 4. 
40 \div 4 = 10  \\ 156 \div 4 = 39

Fifth, our last step is to create our new simplified fraction. All we have to do is take our new numerator and denominator to see the fraction. 

Answer in fraction form: \fbox {-10/39}
Answer in decimal form: \fbox {-0.2564}
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3 years ago
What is the volume in cubic centimeters of a rectangular prism that has a length of 6.2 centimeters, a width of 3.5 centimeters,
Rufina [12.5K]
The length is 6.2
the width is 3.5
the height is 10
So the volume =217cm^3

I hope this help
5 0
3 years ago
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Help me plz branniest to whoever right
storchak [24]
(3x+7)+(4x+9)=-58
first add like terms
7x+16=-58
subtract 16 from both sides
-7x=-74
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7 0
3 years ago
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?
GrogVix [38]
First find the slope of the given line like this:
5x + 2y = 12\\2y=-5x+12\\y=\frac{-5}{2}x+6
If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
y=\frac{-5}{2}x+a and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
4=\frac{-5}{2}(-2)+a 
4=5+a 
a=4-5=-1 
The equation of the line is then the following:
y=\frac{-5}{2}x-1.
3 0
3 years ago
Read 2 more answers
Use the ruler to find 1 / 1/10 and 4 1/10
Korvikt [17]

Answer:

the first answer is 10 and the second is 40

Step-by-step explanation:

there actually asking how many meters would make 1 centimeter

On the ruler 1 whole centimeter is 10 meter. (The longer line behind the number is the 10th meter )

Dividing fractions

1 ÷ 1/10

Steps

Change the whole number which is 1 into a fraction.

1/1 ÷1/10

Flip the second fraction in the equation.

1/1 ÷ 10/1

Then change the division sign to a multiplication sign. So were multiply instead.

1/1 × 10/1

Multiply the fractions and your answer should be 10/1 .

This fraction is also changed to a whole number.

10/1 = 10

6 0
2 years ago
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