Joshua surveys his friends to find out which recreational sport is most liked. He asks each of his friends if they prefer basketball, soccer, baseball, or volleyball. He finds 1/5 of his friends like volleyball and 2/5 prefer soccer. How many of Joshua’s friends prefer volleyball and soccer over the other two sports?
The fraction of Joshua’s friends who like volleyball and soccer is 1/5 + 2/5 = <<1/5+2/5=3/5>>3/5
Since Joshua surveys his friends to find out which recreational sport is most liked, the number of his friends who prefer volleyball and soccer is 3/5 * the total number of friends that Joshua surveys. Answer: \boxed{3/5}.
An electrical company decides to replace the lightbulbs in all of the nonworking street lights on two specific streets. The company learns that 2/3 of the lights do not work on the first street and 1/6 of the lights do not work on the second street. What is the total fractional portion of the nonworking lights on these two streets?(1 point)
The total fractional portion of the nonworking lights on the first street is 2/3, and the total fractional portion of the nonworking lights on the second street is 1/6.
To find the total fractional portion of the nonworking lights on these two streets, we need to add the two fractions together.
2/3 + 1/6 = 4/6 + 1/6 = 5/6
Therefore, the total fractional portion of the nonworking lights on these two streets is 5/6. Answer: \boxed{5/6}.
Roberto wants to clean up his neighborhood by picking up trash. The total distance around his block is 1 3/4 a mile. He decides to do this over two days. If he walks 5/8 of a mile on the first day, how far does he need to walk on the second day to pick up trash? (1 point)
On the first day, Roberto walks 5/8 of a mile.
To find out how far Roberto needs to walk on the second day, we need to subtract the distance he walked on the first day from the total distance around his block.
Total distance around the block = 1 3/4 miles
Distance walked on the first day = 5/8 miles
Total distance walked on the second day = Total distance around the block - Distance walked on the first day
= 1 3/4 miles - 5/8 miles
= 7/4 - 5/8
= (7*2)/(4*2) - 5/8
= 14/8 - 5/8
= (14 - 5)/8
= 9/8
Therefore, Roberto needs to walk 9/8 of a mile on the second day to pick up trash. Answer: \boxed{9/8}.
Your county proposes a new bill to help provide funds for dog walkers at the local animal shelter. Over a two-day voting period, the county found 3/8 of the voters were in favor of the bill and the next day 1/4 were in favor. How many total voters are in favor of the bill? (1 point)
To find the total number of voters in favor of the bill, we need to calculate the sum of the fractions representing the number of voters in favor on each day.
On the first day, 3/8 of the voters were in favor of the bill.
On the second day, 1/4 of the voters were in favor of the bill.
To add these fractions, we need to find a common denominator.
The common denominator of 8 and 4 is 8.
The fraction 3/8 is already written with a denominator of 8, so no adjustment is necessary.
To change 1/4 to have a denominator of 8, we multiply the numerator and denominator by 2:
1/4 * 2/2 = 2/8
Now we can add the fractions:
3/8 + 2/8 = 5/8
Therefore, a total of 5/8 of the voters are in favor of the bill. Answer: \boxed{5/8}.
Macey wants to buy gifts for her mom and brother. She decides to spend 1/2 of the money she has on her mom and 1/3 of the money she has on her brother. What fractional portion of her money does she have left after purchasing the two gifts? (1 point)
Let's assume the total amount of money Macey has is represented by the whole, which we can write as 1.
She decides to spend 1/2 of the money on her mom and 1/3 of the money on her brother.
To find the amount of money she has left, we need to subtract the fractions representing the money she spent from the whole.
Amount spent on her mom = 1/2
Amount spent on her brother = 1/3
To find the amount of money she has left, we subtract the sum of these fractions from the whole:
1 - 1/2 - 1/3
To subtract fractions, we need a common denominator. The least common multiple of 2 and 3 is 6. Let's write the fractions with this denominator:
1 - 3/6 - 2/6
Now we can subtract:
1 - 3/6 - 2/6 = 6/6 - 3/6 - 2/6 = 1/6
Therefore, Macey has 1/6 of her money left after purchasing the two gifts. Answer: \boxed{1/6}.