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3 years ago

7

What is the reciprocal of 3 1/5

2 answers:

damaskus [11]3 years ago

8 0

Answer:

5/16

Step-by-step explanation:

To find the reciprocal you have to make the fraction a mixed number by multiplying the denominator by the whole number then adding the numerator, in this case it would give you 16/5. Since the reciprocal is the number that you multiply to get one, if you switch the denominator and the numerator, you get 5/16.

You can check your work by multiplying the numbers together, if it equals one, your reciprocal is correct, if not, then you may have to do it again.

Talja [164]3 years ago

4 0

Answer:

5/16

Step-by-step explanation:

We need to change the mixed number to an improper fraction to find the reciprocal

3 1/5 = (5*3+1)/5 = 16/5

The reciprocal of 16/5 is found by flipping the fraction

5/16

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Which expression is equivalent to 24 Superscript one-third?

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Answer:

See explanation

Step-by-step explanation:

The given expression is: $(24)^{\frac{1}{3}}$

Recall that 24=3*8

$\implies(24)^{\frac{1}{3}}=(8*3)^{\frac{1}{3}}$

Recall again that:

$(a*b)^n=a^n*b^n$

$\implies (8*3)^{\frac{1}{3}}=(8)^{\frac{1}{3}}*(3)^{\frac{1}{3}}$

$\implies (8*3)^{\frac{1}{3}}=(2^3)^{\frac{1}{3}}*(3)^{\frac{1}{3}}$

$\implies (8*3)^{\frac{1}{3}}=2^{3*\frac{1}{3}}*(3)^{\frac{1}{3}}$

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We rewrite in radical form to obtain

$\implies (8*3)^{\frac{1}{3}}=2\sqrt[3]{3}$

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