caculate the commone ractions to the ractions o the correct into decimal fractions

1,5 over 8=
2,1 3over 4
3,5 over 7
4,7 over 25
5,2 5over6
6, 17 over 8

1 answer

Let's convert each of the fractions you provided into decimal form:

  1. 1.5 over 8:
    \( 1.5 \div 8 = 0.1875 \)

  2. 2.1 3 over 4:
    First, convert \( 2.1 \) into an improper fraction by recognizing \( 2.1 = \frac{21}{10} \) and \( 3/4 = \frac{3}{4} \). Adding these gives:
    \(\frac{21}{10} + \frac{3}{4}\)
    To add, find a common denominator (which is 20):
    \( \frac{21 \times 2}{10 \times 2} + \frac{3 \times 5}{4 \times 5} = \frac{42}{20} + \frac{15}{20} = \frac{57}{20} \)
    Now convert to decimal:
    \( \frac{57}{20} = 2.85 \)

  3. 5 over 7:
    \( 5 \div 7 \approx 0.7142857 \) (continuing, it is approximately \( 0.7143 \) when rounded to four decimal places)

  4. 7 over 25:
    \( 7 \div 25 = 0.28 \)

  5. 2 5 over 6:
    Convert \( 2 \frac{5}{6} \) into an improper fraction:
    \( 2 = \frac{12}{6} \) and thus, \( 2 \frac{5}{6} = \frac{12}{6} + \frac{5}{6} = \frac{17}{6} \)
    Convert to decimal:
    \( \frac{17}{6} \approx 2.8333 \) (approximately)

  6. 17 over 8:
    \( 17 \div 8 = 2.125 \)

To summarize, here are the decimal conversions:

  1. 1.5 over 8 = 0.1875
  2. 2.1 3 over 4 = 2.85
  3. 5 over 7 = 0.7143
  4. 7 over 25 = 0.28
  5. 2 5 over 6 = 2.8333
  6. 17 over 8 = 2.125