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Write $-\frac{49}{50}$ as a decimal number.

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Convert between decimals and fractions

Full solution

Q. Write

-\frac{49}{50}

as a decimal number.

Divide $-49$ by $50$ : To convert the fraction $-\frac{49}{50}$ to a decimal, we need to divide the numerator by the denominator. $\newline$ Calculation: $-49 \div 50$
Find equivalent fraction: Since $50$ is a base of $10$ (which is convenient for decimal conversion), we can easily convert this fraction by finding an equivalent fraction with a denominator of $100$ . To do this, we multiply both the numerator and the denominator by $2$ . $\newline$ Calculation: $-49 \times 2 = -98$ and $50 \times 2 = 100$ , so the equivalent fraction is $-98/100$ .
Convert to decimal: Now, we can write $-\frac{98}{100}$ as a decimal. Since the denominator is $100$ , we move the decimal point two places to the left from the end of $-98$ . $\newline$ Calculation: $-98$ becomes $-0.98$ when we move the decimal two places to the left.

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