Solve Division Problem: +4.8 ÷ +3 with Decimal Numbers

Question

Solve the following expression:

+4.8:+3= +\text{4}.8:+3=

Video Solution

Solution Steps

00:00 Solve
00:03 Positive divided by positive is always positive
00:10 Convert from decimal to fraction
00:13 Convert number to fraction
00:20 Let's substitute in our exercise
00:26 Division is also multiplication by the reciprocal
00:30 Switch between numerator and denominator
00:35 Make sure to multiply numerator by numerator and denominator by denominator
00:38 Factor 48 into 16 and 3
00:42 Simplify what we can
00:51 And this is the solution to the question

Step-by-Step Solution

Let's begin by converting 4.8 to a simple fraction:

4.8=4810 4.8=\frac{48}{10}

Next let's convert 3 to a simple fraction:

3=31 3=\frac{3}{1}

The resulting exercise is as follows:

4810:31= \frac{48}{10}:\frac{3}{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:

4810×13= \frac{48}{10}\times\frac{1}{3}=

Let's now combine the above exercise into one multiplication exercise:

48×110×3=4810×3= \frac{48\times1}{10\times3}=\frac{48}{10\times3}=

Next let's break down 48 into a multiplication exercise:

16×310×3= \frac{16\times3}{10\times3}=

Let's reduce the 3 in both numerator and denominator obtaining the following:

1610 \frac{16}{10}

Finally let's convert the simple fraction into a decimal:

1610=1.6 \frac{16}{10}=1.6

Answer

1.6 1.6