Solve Division with Ratio Notation: -1.4 ÷ -7

Question

Solve the following expression:

1.4:7= -1.4:-7=

Video Solution

Step-by-Step Solution

Let's convert 1.4 to a simple fraction:

1.4=1410 -1.4=-\frac{14}{10}

Let's convert 7 to a simple fraction:

7=71 -7=-\frac{7}{1}

Now the exercise we got is:

1410:71= -\frac{14}{10}:-\frac{7}{1}=

Let's convert the division exercise to a multiplication exercise, and don't forget to swap the numerator and denominator in the second fraction:

1410×17= -\frac{14}{10}\times-\frac{1}{7}=

Let's combine into one multiplication exercise:

+14×110×7=1410×7= +\frac{14\times1}{10\times7}=\frac{14}{10\times7}=

Let's break down 14 into a multiplication exercise:

2×710×7= \frac{2\times7}{10\times7}=

Let's reduce the 7 in both the numerator and denominator and get:

210= \frac{2}{10}=

Let's break down 10 into a multiplication exercise:

22×5= \frac{2}{2\times5}=

Let's reduce the 2 in both the numerator and denominator and get:

5 5

Answer

15 \frac{1}{5}