Question
Express (14 1/3)^2 in simplest form
Answers
GPT 3.5
To express (14 1/3)^2 in simplest form, we first need to convert the mixed number 14 1/3 to an improper fraction.
To convert the mixed number 14 1/3 to an improper fraction, we multiply the whole number part by the denominator and then add the numerator.
14 * 3 = 42
42 + 1 = 43
So, 14 1/3 can be expressed as the improper fraction 43/3.
Now, let's square this fraction:
(43/3)^2 = (43/3) * (43/3)
To multiply fractions, we multiply the numerators together and the denominators together:
(43/3) * (43/3) = (43 * 43) / (3 * 3) = 1849/9
Therefore, (14 1/3)^2 in simplest form is 1849/9.
To convert the mixed number 14 1/3 to an improper fraction, we multiply the whole number part by the denominator and then add the numerator.
14 * 3 = 42
42 + 1 = 43
So, 14 1/3 can be expressed as the improper fraction 43/3.
Now, let's square this fraction:
(43/3)^2 = (43/3) * (43/3)
To multiply fractions, we multiply the numerators together and the denominators together:
(43/3) * (43/3) = (43 * 43) / (3 * 3) = 1849/9
Therefore, (14 1/3)^2 in simplest form is 1849/9.