Question

question 1-2
divide:
$7\div6$
$\circ\\ 2\frac{1}{6}$
$\circ\\ 1\frac{6}{7}$
$\circ\\ 1\frac{1}{6}$
$\circ\\ 1\frac{1}{7}$

Explanation:

Step1: Recall division of fractions

Dividing by a number is the same as multiplying by its reciprocal. So, \(7\div6 = 7\times\frac{1}{6}\).

Step2: Convert to mixed number

\(7\times\frac{1}{6}=\frac{7}{6}\). Now, convert \(\frac{7}{6}\) to a mixed number. Divide 7 by 6: 6 goes into 7 once with a remainder of 1. So, \(\frac{7}{6}=1\frac{1}{6}\). Wait, no, wait. Wait, the options: let's check again. Wait, maybe I misread the problem. Wait, the problem is \(7\div6\)? Wait, no, maybe it's \(7\div6\) or is it \(7\div6\)? Wait, the options: let's check the options. Wait, the first option is \(2\frac{1}{6}\), second is \(1\frac{6}{7}\), third is \(1\frac{1}{6}\), fourth is \(1\frac{1}{7}\). Wait, \(7\div6=\frac{7}{6}=1\frac{1}{6}\). Wait, but let's check the reciprocal. Wait, no, if it's \(7\div6\), then it's \(\frac{7}{6}=1\frac{1}{6}\). But wait, maybe the problem was \(7\div6\) or maybe a typo? Wait, no, let's do it again. \(7\div6\): 6 times 1 is 6, remainder 1, so \(\frac{7}{6}=1\frac{1}{6}\), which is the third option. Wait, but let's check the options again. The third option is \(1\frac{1}{6}\), so that's the answer.

Wait, maybe I made a mistake. Wait, let's check the options. The options are:

• \(2\frac{1}{6}\)
• \(1\frac{6}{7}\)
• \(1\frac{1}{6}\)
• \(1\frac{1}{7}\)

So, \(7\div6=\frac{7}{6}=1\frac{1}{6}\), so the correct option is \(1\frac{1}{6}\).

Answer:

\(1\frac{1}{6}\) (the third option, i.e., the option with \(1\frac{1}{6}\))