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To find what the reciprocal is, you have to turn a proper fraction upside down. For example, the reciprocal of 2/8 would be 8/2. However, when you have an improper fraction, you must first turn it into an improper fraction. To turn a mixed number into an improper fraction, multiply the denominator by the whole number and add the numerator. The denominator will stay the same. For example, to turn 2 3/8 into an improper fraction, multiply 8 by 2 and add 3. That equals to 19. The denominator will stay the same. So, the improper fraction for 2 3/8 is 19/8. Now, turn 19/8 into a reciprocal. 19/8 as a reciprocal would be 8/19.
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The reciprocal of fraction 2(3/8) is 8/19.
We have,
To find the reciprocal of a number, we invert the fraction by swapping the numerator and denominator.
Given the number 2 3/8, we first convert it to an improperfraction:
2 3/8 = (2 * 8 + 3) / 8 = 19/8
To find the reciprocal, we invert the fraction by swapping the numerator and denominator:
Reciprocal = 8/19
Therefore,
The reciprocal of fraction 2(3/8) is 8/19.
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Answer: 36
Step-by-step explanation:
Given : The ratio of the purple flowers to black flowers is 4 to 8.
Let the number of purple flowers be 4x and the number of black flowers be 8x.
Since , there are a total of 108 flowers.
Then we have the following equation :-
Now, the number pf purple flowers = 4(9)=36
Hence, there are 36 purple flowers.