What is 4/5 of 2 1/6

Mathematics

1 answer:

Sophie [7]4 years ago

7 0

Answer:

the answer is

$\frac{26}{15}$

Step-by-step explanation:

⅘ of 2⅙ is basically the same thing as..

$\frac{4}{5} \times 2 \frac{1}{6}$

to multiply the fractions first convert 2 ⅙ into a improper fraction.

multiply the whole number by the denominator and add the product to the numerator to get the NEW NUMERATOR

$2 \times 6 = 12 \\ 12 + 1 = 13$

but you keep the denominator, so now 2⅙ is..

$\frac{13}{6}$

Now simplify and then multiply.

4 × 13 = 2 × 13

5 × 6 5 × 3

$\frac{2}{5} \times \frac{13}{3 } = \frac{26}{15}$

26/15 or 1 11/15

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Let's do 51 and 52.

51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.

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52.

$(x^3)^{(4-b^2)}=1$

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For the statement to be true, the exponent must be zero:

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Answer: K

By the way, usually we assume $0^0=1$ so the restriction that $x \ne 0$ isn't really necessary. Think of the definition of a polynomial or the binomial expansion: