What is 4 2/5 as a decimal?

Understand the Problem

The question is asking how to convert the mixed number 4 2/5 into decimal form. To do this, we can first convert the fractional part (2/5) into decimal, then add it to the whole number (4).

Answer

The decimal form of \( 4 \frac{2}{5} \) is \( 4.4 \).
Answer for screen readers

The decimal form of ( 4 \frac{2}{5} ) is ( 4.4 ).

Steps to Solve

  1. Convert the Fraction to Decimal First, we need to convert the fraction ( \frac{2}{5} ) into decimal form. To do this, we divide the numerator by the denominator:

$$ \frac{2}{5} = 2 \div 5 = 0.4 $$

  1. Add the Decimal to the Whole Number Next, we add the decimal we found to the whole number part of the mixed number, which is 4:

$$ 4 + 0.4 = 4.4 $$

  1. Final Decimal Representation The final step is just confirming our result. The mixed number ( 4 \frac{2}{5} ) in decimal form is:

$$ 4.4 $$

The decimal form of ( 4 \frac{2}{5} ) is ( 4.4 ).

More Information

Converting mixed numbers to decimal is a useful skill in math. Understanding how to work with fractions and decimals can help in different areas like measurements and financial calculations.

Tips

  • Mistakenly treating the entire mixed number as a fraction without handling the whole number separately.
  • Errors in division when converting fractions to decimals.

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