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Ratios are similar to fractions in that assuming you increase the second number of the ratio (going from 10 to 14) it is like making the bottom number in the fraction larger, so the overall result will be smaller. (1/10 going to 1/14).
Say you were making a model of a real boat. If the real boat was 10 meters long, your model would be 1 meter long if the ratio of model:real boat was 1:10. The model would be 1/10th the size of the real boat.
If you wanted to change the scale of the model to 1:14, the model would be smaller. The real boat is still 10 meters long, but your model would be 1/14th the size of the boat, or about 0.7 meters (10 meters / 14).
In general you would want to take the first number of the ratio (in my example 1) and multiply by 10 and divide it by 14.
e.g.
If you wanted to change the scale 3:10 to 3:14
(3 * 10) / 14
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How you would scale up the ratio 10 boys to 14 girls to find equivalent ratios?
by multpulying 10 to 14 by 2
Find the ratio of the first number to the second number and simplify 5.6 to 10?
5.6/10 = 14/25
What is the equivalent ratio to 7 to 10?
7:10 = 3.5:5 = 14:20 = 21:30
What is the ratio of 18 nickels and 14 dimes?
A nickel is worth 5¢ so 18 of them total 90¢ A dime is 10¢ so 14 dimes is $1.40, or 140¢. Therefore the ratio is 90:140, or 9:14 in lowest terms.
The ratio of 21 girls and 14 boys?
The ratio of girls to boys is 21/14 = 3/2 = 1.5 . The ratio of boys to girls is 14/21 = 2/3 = 0.66 .
