A busy customer service agent handled 20 emails in
1
4
of a day. At that rate, how many emails could he handle in 1 day?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
emails
To find the number of emails the customer service agent can handle in 1 day, we need to find 1 divided by 1/4.
Recall that dividing by a fraction is the same as multiplying by its reciprocal. In this case, the reciprocal of 1/4 is 4/1.
So, 1 ÷ 1/4 = 1 × 4/1 = 4.
Therefore, the customer service agent can handle 4 emails in 1 day.
Mittens, a baby kitten, gained 120 grams of weight in
1
3
of a month. If Mittens kept growing at this rate, how much weight would he gain in 1 month?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
grams
To find the amount of weight Mittens would gain in 1 month, we need to find 1 divided by 1/3.
Recall that dividing by a fraction is the same as multiplying by its reciprocal. In this case, the reciprocal of 1/3 is 3/1.
So, 1 ÷ 1/3 = 1 × 3/1 = 3.
Therefore, Mittens would gain 3 grams of weight in 1 month.
With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1/3 of a day. At what rate does this bamboo grow?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
__ centimeters per day
To find the rate at which the bamboo grows, we need to divide the growth in centimeters by the time in days.
The growth observed is 30 centimeters and the time is 1/3 of a day.
To divide by a fraction, we multiply by its reciprocal. The reciprocal of 1/3 is 3/1.
So, the rate of bamboo growth is 30 centimeters ÷ 1/3 = 30 centimeters × 3/1 = 90 centimeters.
Therefore, the bamboo grows at a rate of 90 centimeters per day.
Shelley's cup of tea cooled down 1/2 of a degree in 10 seconds. At what rate is her tea cooling down?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
degrees per second
To find the rate at which Shelley's tea is cooling down, we need to divide the change in temperature by the time it takes.
The change in temperature is 1/2 of a degree and the time is 10 seconds.
So, the rate of cooling down is 1/2 degree ÷ 10 seconds.
To divide by a fraction, we multiply by its reciprocal. The reciprocal of 1/2 is 2/1.
So, the rate of cooling down is (1/2) degree ÷ 10 seconds = (1/2) degree × 2/1/10 seconds.
Simplifying the expression, we get (1/2) degree × 2/1 ÷ 10 seconds = 1 degree ÷ 1/10 seconds.
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 1/10 is 10/1.
So, the rate of cooling down is 1 degree × 10/1 seconds = 10 degrees per second.
Therefore, Shelley's tea is cooling down at a rate of 10 degrees per second.
The Atlas V Rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
miles per second
To find the speed at which the Atlas V Rocket traveled, we need to divide the distance by the time it took.
The distance traveled is 1 mile and the time is 1/10 of a second.
So, the speed is 1 mile ÷ 1/10 of a second.
To divide by a fraction, we multiply by its reciprocal. The reciprocal of 1/10 is 10/1.
So, the speed is 1 mile × 10/1 ÷ 1/10 of a second.
Simplifying the expression, we get 1 mile × 10/1 ÷ 1/10 of a second = 1 mile × 10 × 10/1 ÷ 1.
This simplifies to 1 mile × 100/1 = 100 miles per second.
Therefore, the Atlas V Rocket traveled at a speed of 100 miles per second.