Write 0.94 as a fraction.
Understand the Problem
The question asks to convert the decimal 0.94 into a fraction. This involves understanding place values and simplifying the resulting fraction to its lowest terms.
Answer
$\frac{47}{50}$
Answer for screen readers
$\frac{47}{50}$
Steps to Solve
- Write the decimal as a fraction
Since 0.94 has two decimal places, we can write it as a fraction with a denominator of 100. $$ 0.94 = \frac{94}{100} $$
- Simplify the fraction
Find the greatest common divisor (GCD) of the numerator and the denominator. Both 94 and 100 are even, so they are divisible by 2.
$$ \frac{94}{100} = \frac{94 \div 2}{100 \div 2} = \frac{47}{50} $$
- Check for further simplification
Now we have the fraction $\frac{47}{50}$. We need to check if 47 and 50 have any common factors other than 1. Since 47 is a prime number, its only factors are 1 and 47. Since 47 does not divide 50, the fraction is in its simplest form.
$\frac{47}{50}$
More Information
The decimal 0.94 represents 94 parts out of 100, which simplifies to 47 parts out of 50.
Tips
A common mistake is not simplifying the fraction to its lowest terms. For example, leaving the answer as $\frac{94}{100}$ is not incorrect, but it is not the simplest form. Always check if the numerator and denominator have any common factors.
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