What is 0.88888888 as a fraction

Mathematics

1 answer:

Oksanka [162]4 years ago

4 0

Answer:

If you are trying to do repeating, 88888888/99999999 or 8/9

If you are not trying to do repeating: 88888888/100000000

Step-by-step explanation:

When Doing repeating decimals, you have to do number of nines by the number of digits in the denominator.

When doing non repeating, it has to be over a power of ten. To determine the power, it has to be the number of digits

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Find $ \left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3} $.

vitfil [10]

Question:- Find

$\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}$

Answer:-

$\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}$

Taking power inside the bracket

$\frac{5^{4} }{ {12}^{4} } \times \frac{ {12}^{3} }{ {15}^{3} }$

$\frac{ {5}^{4} }{ {12}^{4 - 3} } \times \frac{1}{ {(5 \times 3)}^{3} } \\ \frac{ {5}^{4} }{12} \times \frac{1}{ {5}^{ 3 } \times {3}^{3} } \\ \frac{ {5}^{4 - 3} }{12 \times {3}^{3} } \\ \frac{5}{4 \times 3 \times {3}^{3} } \\ \frac{5}{4 \times {3}^{4} } = \frac{5}{4\times81 } \\ Answer-> \frac{5}{324}$