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2 answers:
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Answer:
.
Step-by-step explanation:
Start by separating this decimal number into its integer part and its fraction part:
The most challenging task here is to express as a proper fraction. Once that fraction is found, expressing the original number
will be as simple as rewriting a mixed number as an improper fraction.
Let .
would then represent the original number.
Note that the repeating digits appear in groups of two. Therefore, if the digits in are shifted to the left by two places, the repeating part will continue to match:
.
Note, that this "shifting" is as simple as multiplying the initial number by (same as
raised to the power of the number of digits that needs to be shifted.)
Subtract the original number from the shifted number to eliminate the fraction part completely:
.
In other words:
.
.
Therefore, the original number would be:
.
Answer:
<u>18 waves</u> hit the beach in 49 s.
Step-by-step explanation:
Given:
The frequency of the waves that were coming into the beach is 0.367347 Hz.
Now, to find the number of waves that hit the beach in 49 s.
Let the number of waves be
The frequency of waves () = 0.367347 Hz.
The time it takes to hit the beach () = 49 s.
Now, we put formula to get the number of waves:
<u><em>The number of waves = 18.</em></u>
Therefore, 18 waves hit the beach in 49 s.
If one eighth of the pizza falls, that leaves seven eights of the pizza to be shared:
If the 7/8 pizza is shared between three people, then you have to divide 7/8 by 3. We know that dividing a fraction by 3 is the same as multiplying by 1/3:
Therefore, each person gets 7/24 of the whole pizza.
If the 7/8 pizza is shared between three people, then you have to divide 7/8 by 3. We know that dividing a fraction by 3 is the same as multiplying by 1/3:
Therefore, each person gets 7/24 of the whole pizza.