Math

QuestionConvert the mixed number 8498 \frac{4}{9} to a decimal.

Studdy Solution

STEP 1

Assumptions1. The mixed number is 8498 \frac{4}{9}. . We need to convert this mixed number into its decimal equivalent.

STEP 2

A mixed number consists of a whole number and a fraction. To convert a mixed number to a decimal, we need to convert the fractional part to a decimal and then add it to the whole number.
The mixed number is 8498 \frac{4}{9}, so the whole number is8 and the fraction is 49\frac{4}{9}.

STEP 3

To convert the fraction 9\frac{}{9} to a decimal, we divide the numerator () by the denominator (9).
9=÷9\frac{}{9} = ÷9

STEP 4

Perform the division to find the decimal equivalent of the fraction.
49=0.4444...\frac{4}{9} =0.4444...

STEP 5

Now, add this decimal to the whole number part of the mixed number.
8+0.4444...=8.4444...8 +0.4444... =8.4444...The decimal equivalent of the mixed number 8498 \frac{4}{9} is approximately8.4444.

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