convert measurements to the same unit&then write as ratios

Question

1) 1yd to 2ft

2) 1ft 4inch to 1yd

3) 8oz to 2lbs

4) 10sec to 1min

5) 1 day to 32 hours

6) 1 meter to 1 kilometer

7) 1 kilomete to 1 meter

8) 1lb to 12oz

Answer 1

1)  1 yd to 2 ft

     1 yd = 3 ft so we have

     3 ft to 2 ft = 3/2

 

2) 1 ft 4 in to 1 yd

 

    1 yd = 3 ft

    1 ft = 12 in

    so 1 yd = 3(12) = 36 in

  

    1 ft = 12 in  so 1 ft 4 in = 12 in + 4 in = 16 in

 

    1 ft 4 in to 1 yd = 16 in to 36 in = 16/36 = 4/9 or 4 to 9

 

3)  8 oz to 2 lbs

 

    1 lb = 16 oz so 2 lbs = 2(16) = 32 oz

 

    8 oz to 2 lbs = 8/32 = 1/4 or 1 to 4

 

4) 10 sec to 1 min

  

    1 min = 60 sec

   

    10 sec to 1 min = 10 to 60 = 10/60 = 1/6 or 1 to 6

 

5) 1 day to 32 hours

 

    1 day = 24 hrs

   

    1 day to 32 hrs = 24 to 32 = 24/32 = 3/4

 

6)  1 meter to 1 km

 

     1 km = 1000 m

   

     1 m to 1 km = 1 to 1000 = 1/1000

 

7)  1 km to 1 meter

     As noted in 6 above:  1 km to 1 m = 1000 to 1 = 1000/1

 

8)  1 lb to 12 0z

     As noted in 3 above, 1 lb = 16 oz

 

     1 lb to 12 oz = 16 to 12 = 16/12 = 4/3   or 4 to 3