Solve Decimal Division: 0.15 ÷ 0.05 Step-by-Step Solution

Question

(+0.15):(+0.05)= (+0.15):(+0.05)= ?

Video Solution

Solution Steps

00:00 Solve
00:03 Positive divided by positive is always positive
00:08 Convert from decimal numbers to fractions
00:31 Write division as multiplication by reciprocal
00:36 Switch between numerator and denominator
00:39 Reduce what is possible
00:44 And this is the solution to the question

Step-by-Step Solution

Since we are dividing two positive numbers, the result must be a positive number:

+:+=+ +:+=+

First, we will convert each mixed fraction into an improper fraction as follows:

0.15=15100 0.15=\frac{15}{100}

0.05=5100 0.05=\frac{5}{100}

This leaves us with:

15100:5100= \frac{15}{100}:\frac{5}{100}=

Next, we will convert the division into a multiplication, remembering to switch the numerator and denominator:

15100×1005= \frac{15}{100}\times\frac{100}{5}=

Finally, we will simplify the 100 to get:

155=3 \frac{15}{5}=3

Answer

3 3