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Divide. Write the quotient in lowest terms.

12÷1(1)/(5)=

Divide. Write the quotient in lowest terms.\newline12÷115= 12 \div 1 \frac{1}{5}=

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Q. Divide. Write the quotient in lowest terms.\newline12÷115= 12 \div 1 \frac{1}{5}=
  1. Identify Numbers: Identify the numbers involved in the division.\newlineWe have the number 1212, which is the dividend, and 1(1/5)1(1/5), which is the divisor. The divisor 1(1/5)1(1/5) is a mixed number and can be converted to an improper fraction before the division.
  2. Convert to Improper Fraction: Convert the mixed number to an improper fraction. 1(15)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(15)=1×55+15=55+15=651\left(\frac{1}{5}\right) = 1 \times \frac{5}{5} + \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5}
  3. Perform Division: Perform the division by multiplying the dividend by the reciprocal of the divisor.\newlineTo divide by a fraction, we multiply by its reciprocal. The reciprocal of 65\frac{6}{5} is 56\frac{5}{6}.\newline12÷65=12×5612 \div \frac{6}{5} = 12 \times \frac{5}{6}
  4. Multiply to Find Quotient: Multiply the numbers to find the quotient.\newlineNow we multiply 1212 by 56\frac{5}{6}.\newline12×56=(12×5)/6=60612 \times \frac{5}{6} = (12 \times 5) / 6 = \frac{60}{6}
  5. Simplify Result: Simplify the result to its lowest terms.\newline6060 divided by 66 equals 1010.\newline606=10\frac{60}{6} = 10

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