. Find the reciprocal of (6 / 7) + (3 / 8)
Answers
Answer:
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Answer:
To answer your question, let me tell you what the reciprocal of a number is and how to find it .
What is the reciprocal of a number?
Ans. The reciprocal of a number is the number that must be subtracted from the actual number to get the Number 1.
How can we find the reciprocal of a given number ?
Ans. To find the reciprocal of the number, we need to interchange the numerator and the denominator in the fraction. In other words, the reciprocal of 1/2 is 2/1. Notice that both the numerator and the denominator exchanged places. this is known as the reciprocal if a number.
Step-by-step explanation:
So, following the explanation above, let us answer your question.
Find the reciprocal of (6 / 7) + (3 / 8)
Ans. First of all, we need to make sure both the denominators are the same. in this sum, the denominator is 7 and 8 which arent the same. So, to make them the same, we need to find the LCM of 7 and 8 . The LCM if 7 and 8 is 56, since 7 and 8 have no common factors so we need to multiply them togheter. now, we need to convert the denominator to 56 and then the sum will become 48/56 + 21/56 . ( Workings are attached) Now, when we add 48 and 21, we get 69, and the denominator should remain 56. So, the final answer is 69/56.now, the reciprocal of this would be 56/69.
Final answer: 69/56.
Its reciprocal: 56/69.
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