simplify of 270:420:60
The simplest form of the ratio 270:420:60 is 9:14:2.
the simplest form of the ratio 1/3:1/2
To find the simplest form of the ratio 1/3:1/2, we need to convert both fractions to have a common denominator. The least common denominator (LCD) for 3 and 2 is 6.
1/3 = 2/6
1/2 = 3/6
So the ratio 1/3:1/2 simplifies to 2/6:3/6, which can be further simplified by dividing by the greatest common factor of 2 and 3, which is 1.
2/6:3/6 = 2:3
Therefore, the simplest form of the ratio 1/3:1/2 is 2:3.
first change the quantities to the same unit and then express each pairs of quantities as a ratio in simplest form 12mm to 3cm
To express the ratio of 12mm to 3cm in simplest form, we first need to convert one of the quantities to the same unit as the other. We can choose to convert mm to cm, since both units are in the metric system and can be easily converted by dividing by 10.
12mm = 1.2cm (since 1cm = 10mm)
3cm = 3cm
Now that both quantities are in cm, we can express them as a ratio:
1.2cm : 3cm
To simplify this ratio, we can divide both quantities by their greatest common factor, which is 1.2:
1.2cm ÷ 1.2 = 1cm
3cm ÷ 1.2 = 2.5cm
So the simplified ratio of 12mm to 3cm is 1:2.5 or 2:5.
divide by 30.
270:420:60 = 9:14:2
To divide by 30, we can divide each value in the ratio by 30.
270 ÷ 30 = 9
420 ÷ 30 = 14
60 ÷ 30 = 2
Therefore, the simplified ratio after dividing by 30 is 9:14:2.