To easily solve ratio problems and to gain a better understanding of the topic in general, it is convenient to know about equivalent ratios.
Equivalent ratios are, in fact, ratios that seem different, are not expressed in the same way but, by simplifying or expanding them, you arrive at exactly the same relationship.
Think of it this way,
There are 18 balls in a box, \( \frac{2}{3} \) of which are white.
How many white balls are there in the box?
In a box there are 28 balls, \( \frac{1}{4} \) of which are orange.
How many orange balls are there in the box?
There are two circles.
One circle has a radius of 4 cm, while the other circle has a radius of 10 cm.
How many times greater is the area of the second circle than the area of the first circle?
There are two circles.
The length of the radius of circle 1 is 6 cm.
The length of the diameter of circle 2 is 12 cm.
How many times greater is the area of circle 2 than the area of circle 1?
There are two circles.
The length of the diameter of circle 1 is 4 cm.
The length of the diameter of circle 2 is 10 cm.
How many times larger is the area of circle 2 than the area of circle 1?
There are 18 balls in a box, of which are white.
How many white balls are there in the box?
12
In a box there are 28 balls, of which are orange.
How many orange balls are there in the box?
7
There are two circles.
One circle has a radius of 4 cm, while the other circle has a radius of 10 cm.
How many times greater is the area of the second circle than the area of the first circle?
There are two circles.
The length of the radius of circle 1 is 6 cm.
The length of the diameter of circle 2 is 12 cm.
How many times greater is the area of circle 2 than the area of circle 1?
They are equal.
There are two circles.
The length of the diameter of circle 1 is 4 cm.
The length of the diameter of circle 2 is 10 cm.
How many times larger is the area of circle 2 than the area of circle 1?
How many times longer is the radius of the red circle than the radius of the blue circle?
How many times longer is the radius of the red circle, which has a diameter of 24, than the radius of the blue circle, which has a diameter of 12?
How many times longer is the radius of the red circle than the radius of the blue circle?
How many times longer is the radius of the red circle than the radius of the blue circle?
How many times longer is the radius of the red circle (14 cm) than the radius of the blue circle, which has a diameter of 7?
How many times longer is the radius of the red circle than the radius of the blue circle?
5
How many times longer is the radius of the red circle, which has a diameter of 24, than the radius of the blue circle, which has a diameter of 12?
2
How many times longer is the radius of the red circle than the radius of the blue circle?
How many times longer is the radius of the red circle than the radius of the blue circle?
How many times longer is the radius of the red circle (14 cm) than the radius of the blue circle, which has a diameter of 7?
4
ABCD is a deltoid with an area of 58 cm².
DB = 4
AE = 3
What is the ratio between the circles that have diameters formed by AE and and EC?
Given the rectangle ABCD
AB=X the ratio between AB and BC is equal to\( \sqrt{\frac{x}{2}} \)
We mark the length of the diagonal \( A \) with \( m \)
Check the correct argument:
Given the rectangle ABCD
AB=X
The ratio between AB and BC is \( \sqrt{\frac{x}{2}} \)
We mark the length of the diagonal A the rectangle in m
Check the correct argument:
ABCD is a deltoid with an area of 58 cm².
DB = 4
AE = 3
What is the ratio between the circles that have diameters formed by AE and and EC?
3:26
Given the rectangle ABCD
AB=X the ratio between AB and BC is equal to
We mark the length of the diagonal with
Check the correct argument:
Given the rectangle ABCD
AB=X
The ratio between AB and BC is
We mark the length of the diagonal A the rectangle in m
Check the correct argument: