Divide. Write the quotient in lowest terms. $\newline$ $12 \div 1 \frac{1}{5}=$

Full solution

Q. Divide. Write the quotient in lowest terms.

\newline

12 \div 1 \frac{1}{5}=

Identify Numbers: Identify the numbers involved in the division. $\newline$ We have the number $12$ , which is the dividend, and $1(1/5)$ , which is the divisor. The divisor $1(1/5)$ is a mixed number and can be converted to an improper fraction before the division.
Convert to Improper Fraction: Convert the mixed number to an improper fraction. $1\left(\frac{1}{5}\right)$ can be converted to an improper fraction by multiplying the whole number part by the denominator of the fractional part and then adding the numerator of the fractional part. $1\left(\frac{1}{5}\right) = 1 \times \frac{5}{5} + \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5}$
Perform Division: Perform the division by multiplying the dividend by the reciprocal of the divisor. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{6}{5}$ is $\frac{5}{6}$ . $\newline$ $12 \div \frac{6}{5} = 12 \times \frac{5}{6}$
Multiply to Find Quotient: Multiply the numbers to find the quotient. $\newline$ Now we multiply $12$ by $\frac{5}{6}$ . $\newline$ $12 \times \frac{5}{6} = (12 \times 5) / 6 = \frac{60}{6}$
Simplify Result: Simplify the result to its lowest terms. $\newline$ $60$ divided by $6$ equals $10$ . $\newline$ $\frac{60}{6} = 10$