Question

The sum $2\dfrac17 + 3\dfrac12 + 5\dfrac{1}{19}$ is between which two values?

$10$ and $10\dfrac12$

$10\dfrac12$ and $11$

$11$ and $11\dfrac12$

$11\dfrac12$ and $12$

$12$ and $12\dfrac12$

Answer: B

Concepts:fraction estimation

Difficulty rating: 860

Solution:

The whole-number parts sum to $10.$ The fractional parts are $\dfrac12 + \dfrac17 + \dfrac{1}{19}.$

Since $\dfrac17 + \dfrac{1}{19}$ is a small positive amount, the fractional total is more than $\dfrac12$ but well under $1.$ So the sum lies between $10\dfrac12$ and $11.$

Thus, the correct answer is B .

1987 AMC 8 Problem 11

Answer: B

Solution:

Problem 11 in Other Years