Solve Division with Ratio Notation: -1.4 ÷ -7

Solve the following expression:

$-1.4:-7=$

Let's begin by converting 1.4 into a simple fraction:

$-1.4=-\frac{14}{10}$

Let's now convert 7 into a simple fraction:

$-7=-\frac{7}{1}$

The resulting exercise is as follows:

$-\frac{14}{10}:-\frac{7}{1}=$

Let's proceed to convert the division exercise into a multiplication exercise, not forgetting to swap the numerator and denominator in the second fraction:

$-\frac{14}{10}\times-\frac{1}{7}=$

Let's now combine into one multiplication exercise:

$+\frac{14\times1}{10\times7}=\frac{14}{10\times7}=$

Let's proceed to break down 14 into a multiplication exercise:

$\frac{2\times7}{10\times7}=$

Next let's reduce the 7 in both the numerator and denominator obtaining the following:

$\frac{2}{10}=$

Let's proceed to break down the 10 into a multiplication exercise:

$\frac{2}{2\times5}=$

Finally let's reduce the 2 in both the numerator and denominator to obtain the following solution:

$5$