Understand the problem: Understand the problem. We need to subtract the fraction 2(1)/(3) from the fraction 4(2)/(3).Convert to improper fractions: Convert the mixed numbers to improper fractions. 4(2)/(3) can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing the result over the original denominator. 4(2)/(3) = (4*3 + 2)/3 = (12 + 2)/3 = 14/3 Similarly, for 2(1)/(3): 2(1)/(3) = (2*3 + 1)/3 = (6 + 1)/3 = 7/3Subtract improper fractions: Subtract the improper fractions. Now we subtract the second fraction from the first: (14/3) - (7/3) = (14 - 7)/3Perform subtraction: Perform the subtraction. (14 - 7)/3 = 7/3Convert back to mixed number: Convert the improper fraction back to a mixed number if necessary. Since 7/3 is an improper fraction and can be expressed as a mixed number, we divide 7 by 3. 7 ÷ 3 = 2 with a remainder of 1. So, 7/3 as a mixed number is 2(1)/(3).

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$4 \frac{2}{3}-2 \frac{1}{3}$

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Algebra 2

Multiplication with rational exponents

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4 \frac{2}{3}-2 \frac{1}{3}

Understand the problem: Understand the problem. $\newline$ We need to subtract the fraction $2\frac{1}{3}$ from the fraction $4\frac{2}{3}$ .
Convert to improper fractions: Convert the mixed numbers to improper fractions. $\newline$ $4\frac{2}{3}$ can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing the result over the original denominator. $\newline$ $4\frac{2}{3} = \frac{(4\times3 + 2)}{3} = \frac{(12 + 2)}{3} = \frac{14}{3}$ $\newline$ Similarly, for $2\frac{1}{3}$ : $\newline$ $2\frac{1}{3} = \frac{(2\times3 + 1)}{3} = \frac{(6 + 1)}{3} = \frac{7}{3}$
Subtract improper fractions: Subtract the improper fractions. $\newline$ Now we subtract the second fraction from the first: $\newline$ $(\frac{14}{3}) - (\frac{7}{3}) = \frac{14 - 7}{3}$
Perform subtraction: Perform the subtraction. $\newline$ $(14 - 7)/3 = 7/3$
Convert back to mixed number: Convert the improper fraction back to a mixed number if necessary. $\newline$ Since $\frac{7}{3}$ is an improper fraction and can be expressed as a mixed number, we divide $7$ by $3$ . $\newline$ $7 \div 3 = 2$ with a remainder of $1$ . $\newline$ So, $\frac{7}{3}$ as a mixed number is $2\left(\frac{1}{3}\right)$ .