Convert 2.75 to a fraction.

Convert 2.75 to a fraction.

• A. 9/4
• B. 10/4
• C. 12/4
• D. 11/4

Answer: (D)

Converting decimals to fractions uses the place-value idea and the simplest form of a ratio. For 2.75, think of it with two digits after the decimal, so it equals 275/100. Both numbers share a common factor of 25, and dividing gives 11/4. Another way is to split it into 2 and 0.75; 2 is 8/4 and 0.75 is 3/4, which adds up to 11/4. Since 11 and 4 have no common factors besides 1, 11/4 is in simplest terms. The other options correspond to 2.25, 2.5, and 3, not 2.75.

Converting decimals to fractions uses the place-value idea and the simplest form of a ratio. For 2.75, think of it with two digits after the decimal, so it equals 275/100. Both numbers share a common factor of 25, and dividing gives 11/4. Another way is to split it into 2 and 0.75; 2 is 8/4 and 0.75 is 3/4, which adds up to 11/4. Since 11 and 4 have no common factors besides 1, 11/4 is in simplest terms. The other options correspond to 2.25, 2.5, and 3, not 2.75.