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Write $-\frac{33}{50}$ as a decimal number.

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Convert between decimals and fractions

Full solution

Q. Write

-\frac{33}{50}

as a decimal number.

Convert to Denominator $100$ : To convert the fraction $-\frac{33}{50}$ into a decimal, we need to write it with a denominator of $100$ , because a denominator of $100$ corresponds to the decimal system (where each place value is a power of $10$ ). $\newline$ To do this, we can multiply both the numerator and the denominator by $2$ . $\newline$ $-33 \times 2 = -66$ $\newline$ $50 \times 2 = 100$ $\newline$ So, $-\frac{33}{50}$ is equivalent to $-\frac{66}{100}$ .
Multiply by $2$ : Now that we have the equivalent fraction $-\frac{66}{100}$ , we can easily convert it to a decimal. $\newline$ The denominator $100$ tells us that the decimal point goes two places to the left from the end of the numerator. $\newline$ Therefore, $-\frac{66}{100}$ is $-0.66$ as a decimal.

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