2(4)/(7)-1(3)/(7)=1(1)/(7)

Convert to Improper Fractions: Convert the mixed numbers to improper fractions. 2(4/7) can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator: 2 * 7 + 4 = 18/7. 1(3/7) can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator: 1 * 7 + 3 = 10/7.Subtract Improper Fractions: Subtract the improper fractions. Now we subtract the second fraction from the first: 18/7 - 10/7. Since the denominators are the same, we can subtract the numerators directly: 18 - 10 = 8. So, 18/7 - 10/7 = 8/7.Convert Back to Mixed Number: Convert the result back to a mixed number. The improper fraction 8/7 can be converted to a mixed number by dividing the numerator by the denominator: 8 ÷ 7 = 1 with a remainder of 1. So, 8/7 is equal to 1(1/7).

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$2 \frac{4}{7}-1 \frac{3}{7}=1 \frac{1}{7}$

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Algebra 1

Multiplication with rational exponents

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2 \frac{4}{7}-1 \frac{3}{7}=1 \frac{1}{7}

Convert to Improper Fractions: Convert the mixed numbers to improper fractions. $\newline$ $2\left(\frac{4}{7}\right)$ can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator: $2 \times 7 + 4 = \frac{18}{7}$ . $\newline$ $1\left(\frac{3}{7}\right)$ can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator: $1 \times 7 + 3 = \frac{10}{7}$ .
Subtract Improper Fractions: Subtract the improper fractions. $\newline$ Now we subtract the second fraction from the first: $\frac{18}{7} - \frac{10}{7}$ . $\newline$ Since the denominators are the same, we can subtract the numerators directly: $18 - 10 = 8$ . $\newline$ So, $\frac{18}{7} - \frac{10}{7} = \frac{8}{7}$ .
Convert Back to Mixed Number: Convert the result back to a mixed number. $\newline$ The improper fraction $\frac{8}{7}$ can be converted to a mixed number by dividing the numerator by the denominator: $8 \div 7 = 1$ with a remainder of $1$ . $\newline$ So, $\frac{8}{7}$ is equal to $1\left(\frac{1}{7}\right)$ .