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kotykmax [81]
2 years ago
12

So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?

Mathematics
1 answer:
rosijanka [135]2 years ago
6 0

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

  • multiply top and bottom of 1/6 by 8 to get 8/48
  • multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48  + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

  • 14/2 = 7
  • 48/2 = 24

The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

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Answer:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

Step-by-step explanation:

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2 years ago
Solve the inequality <br> 52 - 3x &lt; -14
nata0808 [166]

Answer:

x>22

Step-by-step explanation:

Solve the inequality:

-3x<-14-52

-3x<-66

x>22

( You have to switch the sign because you are dividing by a minus)

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2 years ago
Lily saved 16 coins. She saved ten-can and one-dollar coins only. If she had $5.20, how many ten-cent coins did she have?
Firlakuza [10]

Answer:

  12

Step-by-step explanation:

Let d represent the number of dimes Lily saved. Then the value of her coins in cents is ...

  10d +100(16-d) = 520

  -90d +1600 = 520 . . . . . eliminate parentheses, collect terms

  -90d = -1080 . . . . . . . . . . subtract 1600

  d = -1080/-90 = 12 . . . . . divide by the coefficient of d

Lily has 12 ten-cent coins.

4 0
3 years ago
Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years
Arte-miy333 [17]

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

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2 years ago
F(x) =x^6-3x+9<br> g(x)=3x^3+2x^2-4x-9<br> Find (f-g)(x)
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Step-by-step explanation:

(f-g)(x)=

x ^{2}  - 3x + 9 - (3 {x}^{3}  + 2 {x}^{2}   - 4x - 9) =  \\ x ^{2}  - 3x + 9 - 3 {x}^{3}  - 2 {x}^{2}  + 4x  + 9 = \\  - 3 {x}^{3}  - x ^{2}  + x + 18

7 0
3 years ago
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