Please help
1.Write each improper fraction as a mixed number. :14/5
A. 1 and 4/5
B. 2 and 4/5
C. 2 and 9/5
D. 1 and 9/5
2. Write each mixed number as an improper fraction. :1 and 7/12
A. 12/7
B. 14/12
C. 19/7
D. 19/12
1. B
2. D
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To write an improper fraction as a mixed number, you need to divide the numerator (top number) by the denominator (bottom number). The quotient will be the whole number part of the mixed number, and the remainder will be the numerator of the fractional part. Let's apply this process to the given fractions:
1. To write 14/5 as a mixed number, divide 14 by 5. The quotient is 2, and the remainder is 4. So, the mixed number is 2 and 4/5.
The correct answer is A. 1 and 4/5.
2. To convert 1 and 7/12 to an improper fraction, multiply the whole number part (1) by the denominator (12) and add the numerator (7). The result becomes the new numerator, and the denominator remains the same. So, it becomes (1 * 12 + 7)/12, which simplifies to 19/12.
The correct answer is D. 19/12.