Question

Farrah’s math grade average is 93.3¯%. How can you represent this repeating decimal as a fraction? 0.3¯

Answer 1

Farrah’s math grade average = 93.3¯%
Fraction of the repeating decimal 0.3¯ = 3/9 = 1/3
Thus the answer is 1/3.
and if you divide 1/3, yo can check on calculator that we get 0.33333333.... that is repeating decimal.

Answer 2

The repeating decimal as a fraction can be represented as $\mathbf{\dfrac{1}{3}}$

A repeating decimal is known to be a continuous decimal expressing a number with an indefinite reoccurring part after the decimal point that is not zero.

From Farrah's math grade average score of 93.3%;

• the repeating decimal in bold form is 93 + 0.3

$\mathbf{= \dfrac{3}{9}} \\ \\ = \mathbf{\dfrac{1}{3}}$

Check:

$\mathbf{\dfrac{1}{3}}}$   in decimal results into a repeating decimal 0.33333333

Therefore, we can conclude that repeating decimal as a fraction is represented as  $\mathbf{\dfrac{1}{3}}$

Learn more about fractions here;

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