Find two rational numbers between 5/6 and 83/ 100 . explain how you know (without using decimals)

998/1200 and 997/1200

Step-by-step explanation:

It’s hard to compare 5/6 and 83/100 in their current states. Let’s find a common denominator. Take 600. We know that this will work because both 6 and 100 go into it. Multiplying 5 by 100 and 83 by 6 to find the common denominator, we can compare them at 498/600 and 500/600. However, there is only one number (499/600) between them. Thus, we will multiply each number by 2/2, which is 1. Our numbers are then 996/1200 and 1000/1200. Two numbers between them are then 997/1200 and 998/1200

astronomers is your final answer! : )

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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