Convert 19/4 to a mixed number.

Convert 19/4 to a mixed number.

• A. 5
• B. 4 1/4
• C. 4 3/4
• D. 3 3/4

Answer: (C)

When turning an improper fraction into a mixed number, you see how many whole groups of the denominator fit into the numerator. For 19/4, the number of fours in nineteen is four with a remainder of three, because 4×4 = 16 and 19 − 16 = 3. So you have four whole parts and three more parts out of four: 4 3/4. In decimal form, that’s 4.75, which matches 19/4. The other options would represent different totals: five would be 20/4, which is too large; four and a quarter is 4 1/4 = 17/4, which is too small; three and three quarters is 3 3/4 = 15/4, also too small.

When turning an improper fraction into a mixed number, you see how many whole groups of the denominator fit into the numerator. For 19/4, the number of fours in nineteen is four with a remainder of three, because 4×4 = 16 and 19 − 16 = 3. So you have four whole parts and three more parts out of four: 4 3/4. In decimal form, that’s 4.75, which matches 19/4. The other options would represent different totals: five would be 20/4, which is too large; four and a quarter is 4 1/4 = 17/4, which is too small; three and three quarters is 3 3/4 = 15/4, also too small.