Math Problem Statement

4/7 as a decimal

Solution

To convert 47\frac{4}{7} into a decimal, divide 4 by 7:

4÷7=0.5714285714284 \div 7 = 0.571428571428\ldots

The result is a repeating decimal:

470.571428(repeating)\frac{4}{7} \approx 0.571428 \, (repeating)

This can be written as 0.5714280.\overline{571428}.

Would you like further explanation on repeating decimals or any other details?

Here are 5 related questions:

  1. How do you convert any fraction into a decimal?
  2. What are repeating decimals and how are they represented?
  3. How can you convert repeating decimals back into fractions?
  4. What is the decimal form of 74\frac{7}{4}?
  5. How do you round repeating decimals to a specific number of decimal places?

Tip: To express a repeating decimal, you can use a bar notation over the repeating digits (e.g., 0.5714280.\overline{571428}).

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Division
Repeating Decimals

Formulas

Decimal conversion formula: numerator ÷ denominator

Theorems

Division Theorem for Fractions

Suitable Grade Level

Grades 5-7