Pictures can be enlarged or diminished with respect to an original picture in such a way that in each case, the ratio of the height of the picture to the width of the picture stays the same. This is essential because if this ratio is not maintained the same, there would be weird stretches of the pictures. Image sizes are usually denoted in pixels (unit). If the original size of an image is 540 x 680, which of the following image sizes below cannot be achieved to ensure there is no deformation in the picture?
Pictures can be enlarged or diminished with respect to an original picture in such a way that in each case, the ratio of the height of the picture to the width of the picture stays the same. This is essential because if this ratio is not maintained the same, there would be weird stretches of the pictures. Image sizes are usually denoted in pixels (unit). If the original size of an image is 540 x 680, which of the following image sizes below cannot be achieved to ensure there is no deformation in the picture?
The correct option is D 123 x 164
To solve this question, we need to check how 540 x 680 can be reduced or expressed as higher fractions without changing the value of this ratio. To do this, recall that ratios are mathematically, just fractions. So, let us jump into fractions.
Dividing the numerator and denominator of the original fraction with the same number won't change the value of the fraction. Dividing with 4, we get, (540 ÷ 4)/ (680 ÷ 4) = 135/170.
So, option A is also valid.
Similarly, dividing this fraction with 5 (on numerator and denominator) would result in 27/34 and hence Option B is also valid.
Our original fraction is 540/680. Multiplying the numerator and the denominator of the fraction with a same number would not change the value of this fraction. Multiplying with 2, we get, (540 x 2)/(680 x 2) = 1080/1360
So, option C is valid.
Going in a similar way, we observe that the original fraction cannot be written as 123/164 and hence this picture size cannot be achieved without compromising the picture quality.
123 x 164
To solve this question, we need to check how 540 x 680 can be reduced or expressed as higher fractions without changing the value of this ratio. To do this, recall that ratios are mathematically, just fractions. So, let us jump into fractions.
Dividing the numerator and denominator of the original fraction with the same number won't change the value of the fraction. Dividing with 4, we get, (540 ÷ 4)/ (680 ÷ 4) = 135/170.
So, option A is also valid.
Similarly, dividing this fraction with 5 (on numerator and denominator) would result in 27/34 and hence Option B is also valid.
Our original fraction is 540/680. Multiplying the numerator and the denominator of the fraction with a same number would not change the value of this fraction. Multiplying with 2, we get, (540 x 2)/(680 x 2) = 1080/1360
So, option C is valid.
Going in a similar way, we observe that the original fraction cannot be written as 123/164 and hence this picture size cannot be achieved without compromising the picture quality.
