Compare Fractions and Decimals: Is 3/5 Greater Than, Less Than, or Equal to 0.5?

Question

Choose the appropriate sign:

35 [?] 0.5 \frac{3}{5}~[?]~0.5

Video Solution

Step-by-Step Solution

First, let's convert 0.5 to a simple fraction.

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

0.5=510 0.5=\frac{5}{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 10.

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

35×22=610 \frac{3}{5}\times\frac{2}{2}=\frac{6}{10}

510×11=510 \frac{5}{10}\times\frac{1}{1}=\frac{5}{10}

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

\frac{6}{10}>\frac{5}{10}

Answer

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