Answer:
1. 1
2. 1/12
3. 3 1/6
Step-by-step explanation:
Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.
Solution for #2. This is just like #1. First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.
Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.
18. Let's start by finding the ratio, since this will make it easier to model it on the number line.
We can write 6 as
so
In order to do a division of fractions, we multiply both ends of the operation and put the result in the numerator, and then we multiply the two numbers in the middle and put them in the denominator:
In other words, the quotient is 8.
17. Now that we know the result of the operation, we simply mark the 8 on the number line:
Answer:
5700 grams
Step-by-step explanation:
1 kg = 1000 grams
5.7 kg = 5.7 × 1000
=> 5700 grams
hope it helps!
Answer:
p=3(6x-6.3) [product]
p=(6x-6.3)+(6x-6.3)+(6x-6.3) [sum]
For the triangle, just draw an equilateral triangle, a triangle with 3 equal sides, then on each side write 6x-6.3
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Answer:
Wrong: Linear functions, cubic functions
Step-by-step explanation:
Both can decrease. Cubic functions nearly always decrease at some point and, if there is a negative slope, linear functions can decrease as well.
