Compare Fractions and Decimals: 5/8 ? 0.6

Question

Choose the appropriate sign:

58?0.6 \frac{5}{8}?0.6

Video Solution

Solution Steps

00:06 Let's find the correct mathematical sign.
00:12 Start by changing the decimal number into a fraction.
00:24 Then, multiply each fraction by the other fraction's denominator, to find a common denominator.
00:31 Remember, multiply the numerators together, and the denominators together.
00:40 Okay, let's compare the fractions now.
00:45 And that's how we find the solution to the problem!

Step-by-Step Solution

First, let's convert 0.6 into a simple fraction.

Since there is only one digit after the decimal point, the number is divided by 10, therefore:

0.6=610 0.6=\frac{6}{10}

Now we have two simple fractions with different denominators.

Let's find the least common denominator between them, in this case the common denominator is 80.

We'll equate the denominators by multiplying by the appropriate numbers:

58×1010=5080 \frac{5}{8}\times\frac{10}{10}=\frac{50}{80}

610×88=4880 \frac{6}{10}\times\frac{8}{8}=\frac{48}{80}

Now let's compare the numerators and we'll find that:

\frac{50}{80} > \frac{48}{80}

Answer

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