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

00:05 Let's solve this problem together!
00:08 Remember, a positive divided by a positive is always positive.
00:15 First, let's convert the decimal into a fraction.
00:19 Then, we'll change the number into a fraction.
00:25 Now, let's substitute these fractions into our exercise.
00:31 Division can be done by multiplying with the reciprocal.
00:35 So, switch the numerator and denominator places.
00:40 Be sure to multiply the numerators and the denominators separately.
00:45 Next, we will factor 48 into 16 times 3.
00:50 Let's simplify wherever possible.
00:56 And there you go! That's how we solve this 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