Question

Convert into decimals (use your calculator): a) 6/38 b) 45/55 c) 4/28 d) 35/28 e) 1030/2030

Answer 1

`a.\hspace{3} (6)/(38) = 0.15789474\\\\b.\hspace{3} (45)/(55) = 0.81818181\\\\c.\hspace{3} (4)/(28) = 0.14285714\\\\d.\hspace{3} (35)/(28) = 1.25\\\\e.\hspace{3} (1030)/(2030) = 0.50738916`

Explanation:

Rational numbers, expressed as decimal numbers, are obtained from the operation of division between the integer of the numerator and the integer of the denominator. Then:

`a.\hspace{3} (6)/(38) = 6/38 = 0.15789474\\\\ b.\hspace{3} (45)/(55) = 45/55 = 0.81818181\\\\c.\hspace{3} (4)/(28) = 4/28 = 0.14285714\\\\ d.\hspace{3} (35)/(28) = 35/28 = 1.25\\\\ e.\hspace{3} (1030)/(2030) = 1030/2030 = 0.50738916`