Question

kuta software - infinite pre-algebra
fractions and decimals
write each as a decimal. use repeating decimals

1. \\(\frac{1}{4}\\) 0.25

1. \\(\frac{5}{8}\\) 0.645

1. \\(\frac{7}{200}\\) 0.035

1. \\(\frac{6}{11}\\) 0.54

1. \\(4\frac{27}{125}\\)

Explanation:

Step1: Convert \(\frac{1}{4}\) to decimal

Divide 1 by 4: \(1\div4 = 0.25\)

Step2: Convert \(\frac{5}{8}\) to decimal

Divide 5 by 8: \(5\div8 = 0.625\) (Note: The original 0.645 is incorrect)

Step3: Convert \(\frac{7}{200}\) to decimal

Divide 7 by 200: \(7\div200 = 0.035\)

Step4: Convert \(\frac{6}{11}\) to decimal

Divide 6 by 11: \(6\div11 = 0.\overline{54}\) (Note: The original 0.54 is incorrect, it's a repeating decimal)

Step5: Convert \(4\frac{27}{125}\) to decimal

First, convert the fraction part: \(27\div125 = 0.216\), then add the whole number: \(4 + 0.216 = 4.216\)

Answer:

1. \(0.25\)
2. \(0.625\)
3. \(0.035\)
4. \(0.\overline{54}\)
5. \(4.216\)