Compare Fractions and Decimals: Determine if 1/5 is Greater Than, Less Than, or Equal to 0.5

Question

Choose the appropriate sign (?):

15?0.5 \frac{1}{5}?0.5

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:03 Expand the fraction so the denominator equals 10
00:06 Make sure to multiply both numerator and denominator
00:17 Now convert from fraction to decimal fraction
00:21 Write the numerator as a whole number
00:24 When denominator equals 10, move the decimal point once to the left
00:27 Replace the fraction with the decimal fraction, and compare
00:30 Choose the appropriate sign
00:32 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll first convert the fraction 15\frac{1}{5} to a decimal to directly compare it with 0.50.5.

  • Step 1: Convert 15\frac{1}{5} to a decimal.
  • Step 2: Compare the results.

Let's work through these steps:
Step 1: Conversion of 15\frac{1}{5}. This can be done by performing the division 1÷5=0.21 \div 5 = 0.2.
Now, we have two decimals to compare: 0.20.2 and 0.50.5.

Step 2: Compare 0.20.2 and 0.50.5.
Since 0.20.2 is less than 0.50.5, 15\frac{1}{5} is less than 0.50.5.

Therefore, the correct sign to use is "<""<".

The inequality can be represented as 15<0.5 \frac{1}{5} < 0.5 .

Answer

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