Divide. Write the quotient in lowest terms. 1(1)/(3)÷1(3)/(4)=

Convert to Improper Fractions: Convert the mixed numbers to improper fractions. 1(1/3) can be converted to an improper fraction by multiplying the whole number by the denominator of the fraction, then adding the numerator of the fraction. 1(1/3) = 1 * 3/1 + 1/3 = 3/1 + 1/3 = (3 + 1)/3 = 4/3 Similarly, 1(3/4) can be converted to an improper fraction by multiplying the whole number by the denominator of the fraction, then adding the numerator of the fraction. 1(3/4) = 1 * 4/1 + 3/4 = 4/1 + 3/4 = (4 + 3)/4 = 7/4Divide Fractions: Divide the first fraction by the second fraction. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. (4/3) ÷ (7/4) = (4/3) * (4/7)Multiply Numerators and Denominators: Multiply the numerators and the denominators. (4/3) * (4/7) = (4 * 4) / (3 * 7) = 16/21Check for Simplification: Check if the fraction can be simplified. The fraction 16/21 cannot be simplified further because 16 and 21 have no common factors other than 1.

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Algebra 2

Multiply and divide rational expressions

Full solution

Q. Divide. Write the quotient in lowest terms.

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1 \frac{1}{3} \div 1 \frac{3}{4}=

Convert to Improper Fractions: Convert the mixed numbers to improper fractions. $\newline$ $1\left(\frac{1}{3}\right)$ can be converted to an improper fraction by multiplying the whole number by the denominator of the fraction, then adding the numerator of the fraction. $\newline$ $1\left(\frac{1}{3}\right) = 1 \times \frac{3}{1} + \frac{1}{3} = \frac{3}{1} + \frac{1}{3} = \frac{(3 + 1)}{3} = \frac{4}{3}$ $\newline$ Similarly, $1\left(\frac{3}{4}\right)$ can be converted to an improper fraction by multiplying the whole number by the denominator of the fraction, then adding the numerator of the fraction. $\newline$ $1\left(\frac{3}{4}\right) = 1 \times \frac{4}{1} + \frac{3}{4} = \frac{4}{1} + \frac{3}{4} = \frac{(4 + 3)}{4} = \frac{7}{4}$
Divide Fractions: Divide the first fraction by the second fraction. $\newline$ To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{4}{3}) \div (\frac{7}{4}) = (\frac{4}{3}) \times (\frac{4}{7})$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(\frac{4}{3}) \times (\frac{4}{7}) = (\frac{4 \times 4}{3 \times 7}) = \frac{16}{21}$
Check for Simplification: Check if the fraction can be simplified. $\newline$ The fraction $\frac{16}{21}$ cannot be simplified further because $16$ and $21$ have no common factors other than $1$ .