Write -0.62 as a fraction.
Understand the Problem
The question asks to convert the decimal -0.62 into a fraction. This involves understanding place values in decimals and simplifying fractions.
Answer
$-\frac{31}{50}$
Answer for screen readers
$-\frac{31}{50}$
Steps to Solve
- Write the decimal as a fraction over a power of 10
Since -0.62 has two decimal places, we can write it as a fraction with a denominator of $10^2 = 100$:
$$ -0.62 = -\frac{62}{100} $$
- Simplify the fraction
Find the greatest common divisor (GCD) of the numerator (62) and the denominator (100). The GCD of 62 and 100 is 2. Divide both the numerator and the denominator by 2 to simplify the fraction:
$$ -\frac{62}{100} = -\frac{62 \div 2}{100 \div 2} = -\frac{31}{50} $$
The fraction $-\frac{31}{50}$ is in its simplest form, as 31 is a prime number and does not divide 50.
$-\frac{31}{50}$
More Information
The decimal -0.62 is equivalent to the fraction $-\frac{31}{50}$. This means that if you divide -31 by 50, you will get -0.62.
Tips
A common mistake is not simplifying the fraction completely. Always make sure to divide both the numerator and denominator by their greatest common divisor to get the simplest form. Another common mistake is misplacing the negative sign. The negative sign should remain in the final answer.
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