Which expression results in a negative number?
1 over 2 (-2 x 2 over 5)
1 over 3 (-18) / -3
- 1 over 4 (-7 -6)
- 1 over 2 / 2 over 3
- 1 over 4 (-7 -6)
Jerri was using a recipe for a large cake that required one-third of a tablespoon of cinnamon. Instead of making one large cake, Jerri decided to use the recipe to make four small cakes. How much cinnamon should she use for each of the four small cakes?
To find out how much cinnamon Jerri should use for each of the four small cakes, we need to divide the amount of cinnamon required for a large cake (one-third of a tablespoon) by the number of cakes she is making (four).
One-third ÷ 4 = 1/3 x 1/4 = 1/12
Therefore, Jerri should use 1/12 of a tablespoon of cinnamon for each of the four small cakes.
Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend 3 over 5 of this amount on gasoline for the drive and motel rooms along the way and 1 over 2 of the remainder on meals. How much does Molly's family plan to spend on meals?
To find out how much Molly's family plans to spend on meals, we first need to determine the amount they will spend on gasoline and motel rooms.
Molly's family plans to spend 3/5 of the $3,000 on gasoline and motel rooms.
3/5 * $3,000 = $1,800
Now, we need to find out how much of the remainder they will spend on meals. The remainder is calculated by subtracting the amount spent on gasoline and motel rooms from the initial $3,000.
$3,000 - $1,800 = $1,200
Finally, Molly's family plans to spend 1/2 of the remainder on meals.
1/2 * $1,200 = $600
Therefore, Molly's family plans to spend $600 on meals.
What is the result of this calculation?
1 over 2 x 4 over 3 + 5 over 6 / 7 over 8
To solve the given calculation, we need to simplify the expression according to the order of operations (PEMDAS/BODMAS), which states that we perform the calculations inside parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
Let's simplify step by step:
1. Start with the multiplication: 1/2 x 4/3 = 4/6 = 2/3.
2. Then move on to the division: 5/6 / 7/8 = 5/6 x 8/7 = 40/42 = 20/21.
3. Finally, add the results: 2/3 + 20/21.
To add the fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 21 is 21.
Converting 2/3 to a fraction with a denominator of 21: (2/3) * (7/7) = 14/21.
Now we have:
14/21 + 20/21 = 34/21.
Therefore, the result of the calculation is 34/21.