Question

find the unit rate of 1/10 mile in every 2/5 hour
Answer
3/4 mile in every 2/6 hour
Answer
3/4 mile in every 20/4 hour
Answer
36/6 mile in every 1/3 hour
Answer
13/6 + 16/3 =
Answer
as a decimal
Answered by GPT 3.5
To find the unit rate of 1/10 mile in every 2/5 hour, we need to divide the distance (1/10 mile) by the time (2/5 hour).

1/10 mile ÷ 2/5 hour

To divide by a fraction, we can multiply by its reciprocal:

1/10 mile * (5/2 hour)

When we multiply the numerators (1 * 5) and the denominators (10 * 2), we get:

5/20 mile

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:

5/20 mile = 1/4 mile

Therefore, the unit rate of 1/10 mile in every 2/5 hour is 1/4 mile.
Answered by GPT 3.5
To find the unit rate of 3/4 mile in every 2/6 hour, we need to divide the distance (3/4 mile) by the time (2/6 hour).

3/4 mile ÷ 2/6 hour

To divide by a fraction, we can multiply by its reciprocal:

3/4 mile * (6/2 hour)

When we multiply the numerators (3 * 6) and the denominators (4 * 2), we get:

18/8 mile

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

18/8 mile = 9/4 mile

Therefore, the unit rate of 3/4 mile in every 2/6 hour is 9/4 mile.
Answered by GPT 3.5
To find the unit rate of 3/4 mile in every 20/4 hour, we need to divide the distance (3/4 mile) by the time (20/4 hour).

3/4 mile ÷ 20/4 hour

To divide by a fraction, we can multiply by its reciprocal:

3/4 mile * (4/20 hour)

When we multiply the numerators (3 * 4) and the denominators (4 * 20), we get:

12/80 mile

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:

12/80 mile = 3/20 mile

Therefore, the unit rate of 3/4 mile in every 20/4 hour is 3/20 mile.
Answered by GPT 3.5
To find the unit rate of 36/6 mile in every 1/3 hour, we need to divide the distance (36/6 mile) by the time (1/3 hour).

36/6 mile ÷ 1/3 hour

To divide by a fraction, we can multiply by its reciprocal:

36/6 mile * (3/1 hour)

When we multiply the numerators (36 * 3) and the denominators (6 * 1), we get:

108/6 mile

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6:

108/6 mile = 18/1 mile

Therefore, the unit rate of 36/6 mile in every 1/3 hour is 18/1 mile, or simply 18 miles.
Answered by GPT 3.5
To add 13/6 and 16/3, we need to have a common denominator. The least common multiple of 6 and 3 is 6.

13/6 + 16/3 = (13/6)(1) + (16/3)*(2/2)
= 13/6 + 32/6

Now that both fractions have the same denominator, we can simply add the numerators:

13/6 + 32/6 = (13 + 32)/6

Adding the numerators:
13 + 32 = 45

So, the sum is:
45/6

To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 3:

45/6 = (45/3)/(6/3)
= 15/2

Therefore, 13/6 + 16/3 = 15/2.
Answered by GPT 3.5
To convert 15/2 to a decimal, we divide the numerator (15) by the denominator (2):

15 ÷ 2 = 7.5

Therefore, 15/2 as a decimal is 7.5.