Question 2: D. 604.9
Question 3: 80 oranges or 10/30 or 1/3
Step-by-step explanation:
For question 2:
Okay so, Hal has 5 3/4 bags of munch and each bag covers 105.2 area. We can take the whole number that is already there (5) and multiply it by 105.2 since it is the amount of 1 full bag. So: 5(105.2) is equal to 526.
Now we have to figure out how much 3/4 of a bag is. So take the amount of the full bag and divide it by the denominator (4). So: 105.2/4 is equal to 26.3. Now we know that for 1/4 of a bag it can cover 26.3. We are trying to find the 3/4 so take 1/4 and multiply it by 3 to get 3/4. We can do the same to the amount it is equal with: 26.3(3) and you get 78.9 as an amount of 3/4 of a bag of munch.
Now we add the 3/4 and 5 whole bags: 526.0+78.9=604.9
Our final answer is 604.9 so, option D is correct.
For question 3:
Basically taking all the given fractions: 1/5, 1/6 and 3/10. The lowest amount I can think of is multiplying the denominators to get 30 since they can all equal to 30. So multiply the denominator and numerator for each fraction:
1/5x6=6/30
1/6x5=5/30
3/10x3=9/30
Notice that the denominators are all equal to 30 so this allows us to now add them together.
6/30 + 5/30 + 9/30 = 20/30
Now we know that all together 20/30 is the already know fruits we can easily assume the 10/30 is the amount of oranges. We need to figure out the whole number and not the fraction so, take 240 and divide it by the denominator (30) and we get how much 1/30 is worth in a whole number. So: 240/30=8.
Now we know that 1/30=8 pieces of fruit. Take the 20/30 for already known fruit and we get 160. Take the 10/30 for oranges and we get: 10/30(8) is equal to 80 oranges.
So:
80 oranges
160 other known fruits
Basically 160=2/3 and 80=1/3.
We can check if this is true by:
2/3 (known fruit) and multiply the denominator and numerator by 10 to get 30:
2/3(10)= 20/30. We know this correct because 20/30 is the same as the known fruits fraction we got earlier. Next 1/3(10)=10/30 the 10/30 that was also equal to the amount of oranges.
Our final answer is 80 oranges or 10/30 or 1/3
I hope this helps:)
