2. A middle school band as 2/9
as many band members as the high school band. The high school band has 502 members. About how many members are in the middle school band?(1 point)
To find out how many members are in the middle school band, we can set up a proportion using the given ratio:
Middle school band members / High school band members = 2/9.
Since the high school band has 502 members, we can set up the proportion as:
x / 502 = 2/9, where x represents the number of members in the middle school band.
To solve for x, we multiply both sides of the equation by 502:
502 * (x / 502) = (2/9) * 502
x = (2/9) * 502
Multiplying 2/9 by 502, we find that x is approximately:
x ≈ 111.56
Therefore, there are about 112 members in the middle school band.
1. Yesterday, Sarah spent 35 1/2
minutes studying for a test. Emma spent 1 1/2
times that amount studying for a different test. How many minutes did Emma spend studying?
To find out how many minutes Emma spent studying, we start by calculating 1 1/2 times the amount that Sarah spent.
First, let's convert 35 1/2 minutes to an improper fraction for easier calculations. To do this, we multiply the whole number (35) by the denominator (2) and add the numerator (1). This gives us:
35 * 2 = 70
70 + 1 = 71
So, 35 1/2 minutes as an improper fraction is 71/2.
Now, let's calculate 1 1/2 times 71/2.
To multiply a whole number by a fraction, we multiply the whole number by the numerator and divide the result by the denominator. So, we have:
(1 * 71) / 2 = 71/ 2
Therefore, Emma spent 71/2 minutes studying.
How much cake will each member of the team get if 6 members share 3/4
of a cake equally?(1 point)
To determine how much cake each member of the team will get, we need to divide 3/4 of a cake by the number of team members, which is 6.
First, let's convert 3/4 to a decimal. We divide 3 by 4:
3 ÷ 4 = 0.75
So, 3/4 as a decimal is 0.75.
Now, we can divide 0.75 by 6 to find out how much cake each member will get:
0.75 ÷ 6 = 0.125
Therefore, each member of the team will get 0.125 of a cake.
3. How much cake will each member of the team get if 6 members share 3/4
of a cake equally?(1 point)
1/4
1/8
1/3
1/6
To determine how much cake each member of the team will get if 6 members share 3/4 of a cake equally, we need to divide the amount of cake (3/4) by the number of team members (6).
Dividing fractions involves multiplying the numerator of the first fraction by the reciprocal of the second fraction.
So, 3/4 ÷ 6 becomes (3/4) * (1/6).
Multiplying the numerators and denominators, we get (3 * 1) / (4 * 6) = 3/24.
Simplifying the fraction, we have 1/8.
Therefore, each member of the team will get 1/8 of the cake.
Twenty-four packets of sheet music are in a folder. If the chorus students decide to share 3/8
of the packets, how many did they share?
To determine how many packets of sheet music the chorus students shared, we need to calculate 3/8 of 24.
To find 3/8 of a number, we multiply that number by 3/8.
So, 3/8 * 24 = (3 * 24) / 8 = 72/8 = 9.
Therefore, the chorus students shared 9 packets of sheet music.
5. Celeste completed 5/6
of her science problems. Her mom checked 2/3
of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses