Ratio is another form of division, or another form of fraction.

"x:y" may mean "x divided by y" or "x/y".

So,

55:33 = 55/33

Just by looking at it, we can see "11" in both 55 and 33, get out the elevens to simplify the ratio.

55:33 = 55/33 = 5(11) / 3(11) = 5/3 = 5:3 ----------simplified form.

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4hrs : 45 minutes

= 4hrs / 45 min

Put both numerator and denominator in the same units. hrs:hrs, or min:min.

In hrs:hrs,

= 4hrs / (45/60)hr

= 4 / (3/4)

= 4*(4/3)

= 16/3

= 16:3 -------------------simplified form.

In min:min,

= 4*60 / 45

= 240/45

= 48/9

= 16/3

= 16:3 ---------same.

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Wait. I accidentally pressed the "Submit" button. :-)

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13oz : 2lbs

What is the conversion of 1 lb to oz?

Say, 1 lb = 16 oz, so:

In oz

z,

13oz : 2lbs

= 13oz / (2*16)oz

= 13/32

= 13:32 ----------simplified form

In lbs:lbs,

= (13/16)lbs / 2lbs

= (13/16)*(1/2)

= 13/32

= 13:32 ------------same.

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2kg = 90grams

In kg:kg,

2kg : 90grams

= 2kg / (90/1000)kg

= 2*(1000/90)

= 2000/90

= 200/9

= 200:9

In grams:grams,

= (2*1000)grams / 90grams

= 2000/90

= 200:9 ------------same.

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The student teacher ratio in a school with 2592 students and 144 teachers.

s:t = 2592:144

= 2592/144

= 1296/72

= 648/36

= 324/18

= 162/9

= 54/3

= 18/1

Hence,

student:teacher = 18:1 ------------answer.

If you divide 2592 by 144 on your calculator, you'd get 18. :-)