Accuplacer Practice Test

When 42/16 is reduced to a mixed number, what is the result?

1. 2 5/8

2. 9 1/6

3. 1 47/63

4. 7 9/26

The correct answer is: 2 5/8

When converting the improper fraction \( \frac{42}{16} \) into a mixed number, you start by dividing the numerator (42) by the denominator (16). The result of this division is 2, which indicates the whole number part of the mixed number. Next, to find the fractional part, you multiply the whole number part (2) by the denominator (16) to find out how much of 42 is covered by 2 whole parts: \[ 2 \times 16 = 32 \] Now, subtract this from the original numerator: \[ 42 - 32 = 10 \] Thus, the remainder is 10. The fractional part of the mixed number will then be: \[ \frac{10}{16} \] This fraction can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2: \[ \frac{10 \div 2}{16 \div 2} = \frac{5}{8} \] Combining the whole number and the simplified fraction yields \( 2 \frac{5}{8} \). Therefore, the mixed number form of \( \frac{42}{16} \) is correctly