Fraction as Decimal

Fractional Number       Fraction           Decimal

        9 tenths                    \(\frac{9}{10}\)                      0.9

        6 tenths                    \(\frac{6}{10}\)                      0.6

        3 tenths                    \(\frac{3}{10}\)                      0.3

        7 tenths                    \(\frac{7}{10}\)                      0.7

      27 tenths                    \(\frac{27}{10}\)                      2.7

There

is

only 1 zero in the

denominator, hence

1

decimal place.

Fractional Number       Fraction           Decimal

     3 hundredths               \(\frac{3}{100}\)                   0.03

   28 hundredths                \(\frac{28}{100}\)                  0.28

 368 hundredths               \(\frac{368}{100}\)                   3.68

4192 hundredths              \(\frac{4192}{100}\)                 41.92

There

are

2 zeros in the

denominator, hence

2

decimal places.

Fractional Number       Fraction           Decimal

      9 thousandths             \(\frac{9}{1000}\)                0.009

    19 thousandths             \(\frac{19}{1000}\)                0.019

  319 thousandths             \(\frac{319}{1000}\)                0.319

3812 thousandths             \(\frac{3812}{1000}\)                3.812

There

are

3 zeros in the

denominator, hence

3

decimal places.

\(\frac{4}{5}\) can be written as \(\frac{4 × 2}{5 × 2}\)

                          = \(\frac{8}{10}\)

                          = 0.8

We multiply the numerator and the denominator by 2 to make the denominator 10.

\(\frac{3}{25}\) can be written as \(\frac{3 × 4}{25 × 4}\)

                          = \(\frac{12}{100}\)

                          = 0.12

We multiply the numerator and the denominator by 4 to make the denominator 100.

2\(\frac{3}{5}\) can be written as 2 + \(\frac{3}{5}\)

                          = 2 + \(\frac{3 × 2}{5 × 2}\)

                          = 2 + \(\frac{6}{10}\)

                          = 2 + 0.6

                          = 2.6

We multiply the numerator and the denominator by 2 to make the denominator 10.

14\(\frac{57}{250}\) can be written as 14 + \(\frac{57}{250}\)

                               = 14 + \(\frac{57 × 4}{250 × 4}\)

                               = 14 + \(\frac{228}{1000}\)

                               = 14 + 0.228

                               = 14.228

We multiply the numerator and the denominator by 4 to make the denominator 1000.