Question

Which is the best estimate for 14 1/5- 2 5/6
10
11
12
13

Answer 1

To estimate \( 14 \frac{1}{5} - 2 \frac{5}{6} \), we can round the fractions to make the subtraction easier.

First, convert the mixed numbers to improper fractions:

1. \( 14 \frac{1}{5} = \frac{14 \times 5 + 1}{5} = \frac{70 + 1}{5} = \frac{71}{5} \)
2. \( 2 \frac{5}{6} = \frac{2 \times 6 + 5}{6} = \frac{12 + 5}{6} = \frac{17}{6} \)

Next, we can estimate these mixed numbers:
- \( 14 \frac{1}{5} \) is approximately \( 14 \)
- \( 2 \frac{5}{6} \) is approximately \( 3 \)

Now perform the subtraction:
\[ 14 - 3 = 11 \]

Thus, the best estimate for \( 14 \frac{1}{5} - 2 \frac{5}{6} \) is approximately \( 11 \).

So, the answer is \( \textbf{11} \).