Calculate -5.8 ÷ -3.4: Dividing Negative Decimals

Video Solution

Solution Steps

00:00 Solve

00:04 Convert from decimal to fraction

00:10 Here too we'll convert from decimal to fraction

00:18 Let's set up our exercise

00:22 Division is also multiplication by the reciprocal

00:26 Let's swap between numerator and denominator

00:36 Let's reduce what we can

00:41 Negative times negative is always positive

00:50 Let's factor 58 into 2 and 29

00:53 Let's factor 34 into 2 and 17

00:56 Let's reduce what we can

00:59 And this is the solution to the question

Step-by-Step Solution

Let's begin by converting 5.8 into a simple fraction:

$-5.8=-\frac{58}{10}$

Let's proceed to convert 3.4 into a simple fraction:

$-3.4=-\frac{34}{10}$

Below is the resulting exercise

$-\frac{58}{10}:-\frac{34}{10}=$

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

$-\frac{58}{10}\times-\frac{10}{34}=$

Let's reduce the 10 in both fractions in order to obtain the following:

$+\frac{58}{34}=$

Let's now break down the numerator and denominator into multiplication exercises:

$\frac{2\times29}{2\times17}=$

Finally let's reduce the 2 in both the numerator and denominator of the fraction and we should obtain:

$\frac{29}{17}$