Divide. Write the quotient in lowest terms. 1(1)/(4)÷1(2)/(5)=

Convert to Improper Fractions: Convert the mixed numbers to improper fractions. 1 1/4 is the same as (4 * 1 + 1)/4 = 5/4. 1 2/5 is the same as (5 * 1 + 2)/5 = 7/5.Rewrite as Multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction. (5/4) ÷ (7/5) becomes (5/4) * (5/7).Multiply Numerators and Denominators: Multiply the numerators and the denominators. (5 * 5) / (4 * 7) = 25 / 28.Simplify Fraction: Simplify the fraction if possible. 25 and 28 do not have any common factors other than 1, so the fraction is already in its simplest form.

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Divide. Write the quotient in lowest terms.

1(1)/(4)÷1(2)/(5)=

Divide. Write the quotient in lowest terms. $\newline$ $1 \frac{1}{4} \div 1 \frac{2}{5}=$

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Algebra 2

Multiply and divide rational expressions

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Q. Divide. Write the quotient in lowest terms.

\newline

1 \frac{1}{4} \div 1 \frac{2}{5}=

Convert to Improper Fractions: Convert the mixed numbers to improper fractions. $\newline$ $1 \frac{1}{4}$ is the same as $(4 \times 1 + 1)/4 = \frac{5}{4}$ . $\newline$ $1 \frac{2}{5}$ is the same as $(5 \times 1 + 2)/5 = \frac{7}{5}$ .
Rewrite as Multiplication: Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction. $\newline$ $(\frac{5}{4}) \div (\frac{7}{5})$ becomes $(\frac{5}{4}) \times (\frac{5}{7})$ .
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(5 \times 5) / (4 \times 7) = 25 / 28$ .
Simplify Fraction: Simplify the fraction if possible. $25$ and $28$ do not have any common factors other than $1$ , so the fraction is already in its simplest form.