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Use long dividson to convert 6 7/15 to a decimal

0.46
6.715
6.14285
6.47

1 answer

To convert the mixed number \( 6 \frac{7}{15} \) to a decimal, we first need to convert the fraction \( \frac{7}{15} \) into decimal form.

  1. Long Division:

    • Divide \( 7 \) (the numerator) by \( 15 \) (the denominator).
        0.4666...
15 | 7.00000
    - 6.0      (15 times 0.4 = 6.0)
    ------
       10
    -  9         (15 times 0.6 = 9)
    ------
        10
    -  9         (15 times 0.6 = 9)
    ------
         10 
    (This will keep repeating)

    From the division, we find that: \[ \frac{7}{15} = 0.46666... \approx 0.47 \]

  2. Convert the Mixed Number: Now, add the whole number part \( 6 \) to the decimal \( 0.46666...\): \[ 6 + 0.46666... = 6.46666... \]

Thus, rounded to two decimal places, \( 6 \frac{7}{15} \) is approximately \( 6.47 \).

Among the options you provided, the closest and correct one is:

6.47.