QuestionConvert $6 \frac{7}{15}$ to a decimal using long division.

Studdy Solution

STEP 1

Assumptions1. The given number is a mixed number $6 \frac{7}{15}$ . . We need to convert this mixed number into a decimal.

STEP 2

First, we need to convert the mixed number into an improper fraction. We can do this by multiplying the whole number part by the denominator of the fraction part and then adding the numerator of the fraction part.
$Improper\, fraction = Whole\, number \\times Denominator + Numerator$

STEP 3

Now, plug in the given values for the whole number, denominator, and numerator to calculate the improper fraction.
$Improper\, fraction =6 \\times15 +7$

STEP 4

Calculate the improper fraction.
$Improper\, fraction =6 \\times15 +7 =97$

STEP 5

Now that we have the numerator of the improper fraction, we can write the improper fraction as97 over15.
$Improper\, fraction = \frac{97}{15}$

STEP 6

Now, we can use long division to convert the improper fraction to a decimal. Divide the numerator by the denominator.
$Decimal = \frac{97}{15}$

STEP 7

Perform the long division.
$Decimal = \frac{97}{15} =6.46666666667$ So, $6 \frac{7}{15}$ as a decimal is approximately6.47 (rounded to two decimal places).

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