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.