Question

Упростите отношение величин. а)12м/15дм б)18кг/540г в)490см/35дм г)450кг/2т д)3500см(в 3 степени)/21дм(в 3 степени) е)9900дм(в 3 степени)/18м(в 3 степени) даю 30 баллов, если ответите.

Answer 1

А)12м/15дм=120дм/15дм=8
б)18кг/540г=18000г/540г=2000/60=200/6=100/3=33 1/3
в)490см/35дм=490см/350см=49/35=7/5=1 2/5=1,4
г)450кг/2т=450кг/2000кг=45/200=9/40=0,225
д)3500см(в 3 степени)/21дм(в 3 степени)=35дм³/21дм³=5/3=1 2/3
е)9900дм(в 3 степени)/18м(в 3 степени)=99м³/18м³=11/2=5,5

Answer 2

Simplifying Ratios

To simplify ratios, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). This will give us the simplest form of the ratio.

Let's simplify the given ratios:

a) 12m/15dm: To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 12m to dm: 1m = 10dm So, 12m = 12 * 10dm = 120dm

Now we have: 12m/15dm = 120dm/15dm

To simplify this ratio, we divide both the numerator and the denominator by their GCD, which is 15: 120dm/15dm = 8/1

Therefore, the simplified ratio is 8/1.

b) 18kg/540g: To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 18kg to g: 1kg = 1000g So, 18kg = 18 * 1000g = 18000g

Now we have: 18kg/540g = 18000g/540g

To simplify this ratio, we divide both the numerator and the denominator by their GCD, which is 540: 18000g/540g = 33.33/1

Therefore, the simplified ratio is 33.33/1.

c) 490cm/35dm: To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 35dm to cm: 1dm = 10cm So, 35dm = 35 * 10cm = 350cm

Now we have: 490cm/35dm = 490cm/350cm

To simplify this ratio, we divide both the numerator and the denominator by their GCD, which is 70: 490cm/350cm = 7/5

Therefore, the simplified ratio is 7/5.

d) 450kg/2t: To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 2t to kg: 1t = 1000kg So, 2t = 2 * 1000kg = 2000kg

Now we have: 450kg/2t = 450kg/2000kg

To simplify this ratio, we divide both the numerator and the denominator by their GCD, which is 50: 450kg/2000kg = 9/40

Therefore, the simplified ratio is 9/40.

e) 3500cm^3/21dm^3: To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 3500cm^3 to dm^3: 1dm^3 = 1000cm^3 So, 3500cm^3 = 3500/1000dm^3 = 3.5dm^3

Now we have: 3500cm^3/21dm^3 = 3.5dm^3/21dm^3

To simplify this ratio, we divide both the numerator and the denominator by their GCD, which is 7: 3.5dm^3/21dm^3 = 0.1667/1

Therefore, the simplified ratio is 0.1667/1.

f) 9900dm^3/18m^3: To simplify this ratio, we need to convert both measurements to the same unit. Let's convert 9900dm^3 to m^3: 1m^3 = 1000dm^3 So, 9900dm^3 = 9900/1000m^3 = 9.9m^3

Now we have: 9900dm^3/18m^3 = 9.9m^3/18m^3

To simplify this ratio, we divide both the numerator and the denominator by their GCD, which is 0.9: 9.9m^3/18m^3 = 1.1/2

Therefore, the simplified ratio is 1.1/2.

I hope this helps! Let me know if you have any further questions.