Judy uses 12 tiles to make a mosaic. Eight of the tiles are blue. What fraction, in simplest form, represents the tiles that are blue?

8 out of the 12 tiles are blue, right? The blue tiles are 8/12 of the whole mosaic. Divide the top and bottom by 4 to get 2/3

Answered by sthakkar466 | 2024-06-10

To find the fraction of tiles that are blue, divide the number of blue tiles (8) by the total number of tiles (12), resulting in 8/12. Simplifying this fraction by dividing both numerator and denominator by their GCD (4), we get 2/3, meaning two-thirds of Judy's tiles are blue.

The student asks, "What fraction, in simplest form, represents the tiles that are blue?" Judy uses 12 tiles in total, and 8 of those are blue. To find the fraction that represents the blue tiles, we divide the number of blue tiles by the total number of tiles.
Therefore, the fraction is 8/12. To simplify this fraction, we look for the greatest common divisor (GCD) that 8 and 12 both share, which is 4. We then divide both the numerator and the denominator by 4.
8 / 4 = 2 and 12 / 4 = 3. Thus, the fraction of blue tiles in its simplest form is 2/3. This means that two-thirds of Judy's tiles are blue.

Answered by DiBotcher | 2024-06-24

The fraction of blue tiles in Judy's mosaic is 3 2 ​ . This is calculated by taking the number of blue tiles (8) divided by the total number of tiles (12) and simplifying it. The simplified fraction represents the portion of blue tiles in her mosaic.
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Answered by sthakkar466 | 2024-12-20