Question

question 8

convert \\(4\frac{4}{11}\\) into a decimal.

• 4.425
• \\(4.\overline{33}\\)
• \\(4.\overline{36}\\)
• 4.275

Explanation:

Separate the whole number and the fractional part

Using the Mixed Numbers knowledge point

$$ 4\frac{4}{11} = 4 + \frac{4}{11} $$

Convert the fraction to a decimal

Using the Fractions knowledge point

$$ \frac{4}{11} = 4 \div 11 = 0.363636\dots = 0.\overline{36} $$

Combine the whole number and decimal parts

$$ 4 + 0.\overline{36} = 4.\overline{36} $$

Answer:

• (A) \(4.425\)
• (B) \(4.\overline{33}\)
• (C) \(4.\overline{36}\) (Correct answer)
• (D) \(4.275\)