High School

Convert the following fractions to have the same denominator:

2, \(-\frac{27}{30}\), \(\frac{8}{16}\), \(\frac{4}{5}\).

Answer :

Final answer:

To find a common denominator for 2, -27/30, 8/16, and 4/5, we need to determine the least common multiple (LCM) of the denominators. The LCM of 5, 16, and 30 is 240.

Explanation:

To find a common denominator for 2, -27/30, 8/16, and 4/5, we need to determine the least common multiple (LCM) of the denominators. The LCM of 5, 16, and 30 is 240. So, we can write each fraction with a denominator of 240:

  1. 2/1 = 2/1 * 240/240 = 480/240
  2. -27/30 = -27/30 * 8/8 * 8/8 = -5184/240
  3. 8/16 = 8/16 * 15/15 * 15/15 = 2880/240
  4. 4/5 = 4/5 * 48/48 = 192/240

Therefore, the fractions 2, -27/30, 8/16, and 4/5 can be written with a common denominator of 240 as 480/240, -5184/240, 2880/240, and 192/240 respectively.

Learn more about Finding a common denominator here:

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