Compare Fractions and Decimals: Is 4/5 >, <, or = to 0.8?

Question

Choose the appropriate sign (?):

45?0.8 \frac{4}{5}?0.8

Video Solution

Solution Steps

00:06 First, choose the correct sign. Take your time to think it through.
00:14 Next, let's convert the decimal number into a fraction. We'll do this step by step.
00:23 Now, simplify the fraction as much as possible. This is an important step!
00:29 Remember, divide both the top number and the bottom number. You can do it!
00:34 Look closely. You'll see that the numbers are equal. Great job!
00:39 And that's how we find the solution to the problem. Well done!

Step-by-Step Solution

First, let's convert 0.8 into a simple fraction.

Since there is only one number after the decimal point, we can divide by 10 as follows:

0.8=810 0.8=\frac{8}{10}

Let's simplify the fraction so that we have two fractions with the same denominator:

8:210:2=45 \frac{8:2}{10:2}=\frac{4}{5}

Now we can compare and see that:

45=45 \frac{4}{5}=\frac{4}{5}

Answer

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