Convert 4 9/10 to a decimal.

Understand the Problem

The question is asking to convert the mixed number 4 9/10 into its decimal form. This involves taking the whole number part and the fractional part and performing the division to express it as a single decimal number.

Answer

The decimal form of the mixed number \(4 \frac{9}{10}\) is \(4.9\).
Answer for screen readers

The decimal form of the mixed number (4 \frac{9}{10}) is (4.9).

Steps to Solve

  1. Separate the whole number and the fraction

Identify the whole number and the fractional part of the mixed number. In this case, we have:

Whole number: $4$

Fraction: $\frac{9}{10}$

  1. Convert the fraction to decimal

Divide the numerator by the denominator to convert the fraction to a decimal:

$$ \frac{9}{10} = 0.9 $$

  1. Combine the whole number and decimal

Add the decimal from the fraction to the whole number:

$$ 4 + 0.9 = 4.9 $$

The decimal form of the mixed number (4 \frac{9}{10}) is (4.9).

More Information

The process of converting a mixed number to decimal form allows for easier calculations in various mathematical applications. The fraction can be expressed in decimal format which is often more convenient for addition and other operations.

Tips

One common mistake is to forget to add the whole number and decimal together, which could result in just the decimal part being recorded.

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