Kaplan Nursing Entrance Practice Exam 2025 – The All-in-One Guide to Exam Success!

Question: 1 / 2700

What is the result of dividing 2 6/7 by 3/4?

20/3

80/21

To solve the problem of dividing $ 2 \frac{6}{7} $ by $ \frac{3}{4} $, it’s beneficial to convert the mixed number into an improper fraction first.

The mixed number $ 2 \frac{6}{7} $ can be converted as follows:

1. Multiply the whole number (2) by the denominator (7): $ 2 \times 7 = 14 $.

2. Add the numerator (6): $ 14 + 6 = 20 $.

3. Therefore, $ 2 \frac{6}{7} = \frac{20}{7} $.

Now, to divide by $ \frac{3}{4} $, you can multiply by the reciprocal of $ \frac{3}{4} $, which is $ \frac{4}{3} $:

\frac{20}{7} \div \frac{3}{4} = \frac{20}{7} \times \frac{4}{3}.

When multiplying fractions, you multiply the numerators and the denominators:

1. Numerator: $ 20 \times 4 = 80 $.

2. Den

14/3

12/5

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