Q:

What is 20/3 Divided by 2/12?

Accepted Solution

A:

The first step in dividing fractions is to understand the parts of the problem. With a division calculation like 20/3 divided by 2/12, we have the dividend (the first fraction 20/3) and the divisor (the second fraction 2/12). These can be broken down into their respective numerators and denominators as follows:

  • Numerator of the dividend: 20
  • Denominator of the dividend: 3
  • Numerator of the divisor: 2
  • Denominator of the divisor: 12

To find the precise answer, follow these steps:

  1. Multiply the numerator of the dividend, 20, by the denominator of the divisor, 12. This gives 240.
  2. Multiply the denominator of the dividend, 3, by the numerator of the divisor, 2. This gives 6.
  3. Put the two results together to form one fraction, 240/6 which simplifies to 40.

The LaTeX representation of these calculations are:

  • \( \frac{20}{3} Γ· \frac{2}{12} \)
  • \( \frac{20 \times 12}{3 \times 2} = \frac{240}{6} \)
  • \( \frac{240}{6} = 40 \)
  • Thus, 20/3 divided by 2/12 equals 40. Try practicing similar division problems to improve problem-solving skills!