Hi there!
Question 1:
For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:

Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is:
). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:


Now, subtracting the numerators, we get:
yards of string will remain.
Question 2:
For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:

Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time:
). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:


, which is equivalent to (dividing both the top and the bottom by 2)
inches.
Hope this helps!
Answer:
B: 1/6
Step-by-step explanation:
make 1/4 to 3/12. 7/12 + 3/12 is 10/12. So the green is 2/12. 2/12 simplified is 1/6.
Answer:
0.18% probability that they are all women
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the senators are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
3 women, from a set of 13. So

Total outcomes:
3 senators, from a set of 100. So

Probability;

0.18% probability that they are all women
Answer:
print them out or something
OK, like I explained in the last one KCF, (Keep Change Flip) so our problem is:
8/7÷5/8 So lets Keep 8/7 and change the divide sign to multiplication sign. and then for Flip you flip 5/8 to 8/5. So now our real problem is: 8/7*8/5= (8*8=64) and (7*5=35). So we have 64/35, now you just need to change this improper fraction to a proper one... message me if you have any trouble :)