GED Mathematical Reasoning TestQuantitative Problem Solving with Rational NumbersEasy
A nutritionist is preparing a meal plan. She wants to divide 5 1/4 cups of quinoa equally among 3 servings. How much quinoa will be in each serving?
- A2 3/4 cups
- B1 3/4 cups
- C1 1/4 cups
- D2 1/4 cups
Show answer & explanationAnswer & explanation
Correct answer: B. 1 3/4 cups
To solve this, first convert the mixed number (5 1/4) into an improper fraction. Then, divide the improper fraction by the number of servings (3). Finally, convert the resulting improper fraction back into a mixed number.
Why the other options are wrong
- A. This option is incorrect, grossly overestimating the amount per serving, indicating a major calculation error.
- C. This option is incorrect, likely resulting from an error in converting the mixed number or performing the division.
- D. This option is incorrect, significantly overestimating the amount, possibly due to an arithmetic error in the division.
Dividing Mixed Numbers
Dividing mixed numbers involves converting them into improper fractions, then multiplying by the reciprocal of the divisor.
- Convert mixed numbers to improper fractions first.
- Dividing by a number is the same as multiplying by its reciprocal.
- Simplify the resulting fraction if possible, and convert back to a mixed number for the final answer.
Memory trick: Mixed to improper, then flip and multiply, the answer will fly!