Answer:
[tex]\sf 13\dfrac{1}{2}[/tex]
Step-by-step explanation:
[tex]\sf 2\dfrac{1}{4}=\dfrac{9}{4}\\\\\\\dfrac{9}{4} \ \div \dfrac{1}{6}[/tex]
[tex]\sf \dfrac{9}{4} \div \dfrac{1}{6}=\dfrac{9}{4}*\dfrac{6}{1}[/tex]
[tex]\sf =\dfrac{9}{2}*3\\\\\\=\dfrac{27}{1}\\\\\\=13\dfrac{1}{2}[/tex]
To divide the mixed fraction 2 1/4 by the fraction 1/6, we convert the mixed number to an improper fraction, multiply by the reciprocal of the second fraction, and then simplify. The final reduced answer is 13 1/2.
The question asks to divide the fractions 2 1/4 by 1/6 and reduce to the simplest form. Here's a step-by-step method to find the correct answer:
Convert the mixed number 2 1/4 to an improper fraction. This is done by multiplying the whole number part by the denominator of the fractional part and adding the numerator: 2 × 4 + 1 = 9/4.To divide by a fraction, we multiply by its reciprocal. So we need to multiply 9/4 by the reciprocal of 1/6, which is 6/1.Multiply the numerators together and the denominators together: (9 × 6) / (4 × 1) = 54/4.Divide 54 by 4 to get 13.5, which can be written as a mixed number: 13 1/2.
Therefore, when we reduce the fraction, the answer is 13 1/2.
