Your friend wrote the reciprocal of 5 3/8 as 5 8/3. explain why your friend is incorrect. what is the correct reciprocal?
PLEASE HELP/ANSWER ASAP!!!!!!!!
Your can not wrote the reciprocal of 5 3/8 as 5 8/3 because
reciprocal of 5 3/8 is:
1 / (5 3/8 )
The correct reciprocal is:
1 / (5 3/8 ) = 1 / ( 5 + 3 / 8 ) = 1 / ( 40 / 8 + 3 / 8 ) = 1 / ( 43 / 8 ) = 8 / 43
The reciprocal of 5 3/8 is 8 / 43
5 3/8 as an improper fraction is 43/8, so the correct reciprocal is 8/43
The reciprocal of 3 8/5 is 3 5/8
Explain why Alexa is incorrect and write the correct reciprocal
reciprocal of 5 3/8 is:
1 / (5 3/8 )
The correct reciprocal is:
1 / (5 3/8 ) = 1 / ( 5 + 3 / 8 ) = 1 / ( 40 / 8 + 3 / 8 ) = 1 / ( 43 / 8 ) = 8 / 43
The reciprocal of 5 3/8 is 8 / 43
To understand why your friend is incorrect, let's first clarify the concept of reciprocals. The reciprocal of a fraction is obtained by swapping the numerator (the top number) and the denominator (the bottom number). It is a fraction that, when multiplied by the original fraction, yields a product of 1.
The given fraction is 5 3/8. To find its reciprocal, we need to invert it by swapping 5 with 3/8. Therefore, the reciprocal should be 3/8 divided by 5, written as 3/8 ÷ 5.
To simplify this, we convert the whole number 5 into an improper fraction. Multiply 5 by 8 and add 3, then use 8 as the denominator: (5 × 8 + 3)/8 = 43/8
Now we can find the reciprocal by swapping the numerator and the denominator of 43/8. Therefore, the correct reciprocal is 8/43.
To verify if this is indeed the reciprocal, we can multiply the original fraction by its reciprocal:
(5 3/8) × (8/43) = (43/8) × (8/43) = 1
As the product is equal to 1, we can confirm that 8/43 is the correct reciprocal.