7th Grade Math

130 Rational Numbers

Write Fractions as Repeating Decimals

Write _^7

9

as a decimal.

0.777...

9  7.000 Divide 7 by 9.

_____-^63

70

_____-^63

70

_____-^63

7

Notice that the remainder

will never be zero. That is,

the division never ends.

So, _^7

9

= 0.777... or 0. −7.

Write each fraction or mixed number as a decimal. Use bar

notation if the decimal is a repeating decimal.

g. _ 32 h. - _^3

11

i. 8 _^1

3

Every terminating decimal can be written as a fraction with a

denominator of 10, 100, 1,000, or a greater power of ten. Use the place

value of the final digit as the denominator.

=

numerator

hundredths place

FISH Use the table to find what fraction of Fish Amount

Guppy 0.25

Angelfish 0.4

Goldfish 0.15

Molly 0.2

the fish in an aquarium are goldfish. Write

in simplest form.

0.15 = _^15

100

The final digit, 5, is in the hundredths place.

= _^3

20

Simplify.

So, _^3

20

of the fish are goldfish.

Determine the fraction of the aquarium made up by each fish.

Write the answer in simplest form.

j. molly k. guppy l. angelfish

Real-World Link

The recommended

water temperature for

goldfish is 65–72°F.

RR

T

127_138_C3L1_895130.indd 130 12/31/09 12:35 PM