Solve Decimal Division: 0.5 ÷ 4 Step-by-Step

Question

Solve the following expression:

0.54= ? \frac{0.5}{4}=\text{ ?}

Video Solution

Solution Steps

00:00 Solve
00:03 Convert decimal number to fraction
00:06 Convert division to multiplication by reciprocal
00:09 Make sure to multiply numerator by numerator and denominator by denominator
00:12 And this is the solution to the question

Step-by-Step Solution

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

0.54=124 \frac{0.5}{4}=\frac{\frac{1}{2}}{4}

Then we can convert the division operation into a multiplication operation.

Next, we'll multiply 12 \frac{1}{2} by the reciprocal of 4 as follows:

12×14 \frac{1}{2}\times\frac{1}{4}

Finally, we solve the problem as follows:

1×12×4=18 \frac{1\times1}{2\times4}=\frac{1}{8}

Answer

18 \frac{1}{8}