Question

1. $\frac{5}{7} div 2 = \frac{}{} div \frac{}{} = \frac{}{} \times \frac{}{} = \frac{}{} = $

Explanation:

Step1: Rewrite division as fraction

To divide a fraction by a whole number, we can write the whole number as a fraction with denominator 1. So, \(2\) can be written as \(\frac{2}{1}\). Thus, \(\frac{5}{7}\div2=\frac{5}{7}\div\frac{2}{1}\).

Step2: Use reciprocal for division

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \(\frac{2}{1}\) is \(\frac{1}{2}\). So, \(\frac{5}{7}\div\frac{2}{1}=\frac{5}{7}\times\frac{1}{2}\).

Step3: Multiply the fractions

Multiply the numerators and denominators: \(\frac{5\times1}{7\times2}=\frac{5}{14}\).

Answer:

\(\frac{5}{7}\div2=\frac{5}{7}\div\frac{2}{1}=\frac{5}{7}\times\frac{1}{2}=\frac{5\times1}{7\times2}=\frac{5}{14}\)
So the blanks are filled as: \(\frac{5}{7}\), \(\frac{2}{1}\), \(\frac{5}{7}\), \(\frac{1}{2}\), \(\frac{5\times1}{7\times2}\), \(\frac{5}{14}\) (in order)