Accepted Solution
To calculate the division of fractions, we first need to understand the individual components of the fractions. Each fraction has a numerator (the upper number) and a denominator (the lower number). For example, in the fraction 3/12, 3 is the numerator and 12 is the denominator.
Given the problem: What is \( \frac{3}{12} \) divided by \( \frac{9}{6} \)?
The dividend (3/12) and the divisor (9/6) can be separated as follows:
Numerator of the dividend: 3
Denominator of the dividend: 12
Numerator of the divisor: 9
Denominator of the divisor: 6
The steps to solve this problem are as follows:
First: Multiply the numerator of the dividend with the denominator of the divisor \(3*6 = 18\). This becomes the numerator of the answer.
Second: Multiply the denominator of the dividend with the numerator of the divisor \(12*9 = 108\). This becomes the denominator of the answer.
Third: Combine these two new numbers to form the fraction, which turns out to be \( \frac{18}{108} \) = \( \frac{1}{6} \)
To get the decimal form of this fraction, you can divide the numerator of the answer by the denominator: 18/108 = 0.167
So, \( \frac{3}{12} \) divided by \( \frac{9}{6} \) equals to 0.167 in decimal form and 1/6 in fractional form.
This problem-solving method can be applied to any division problem involving fractions. Some examples for practice:
What is \( \frac{7}{14} \) divided by 16?
87 divided by what equals 68?
What divided by 58 equals 64?
What is \( \frac{19}{2} \) divided by \( \frac{15}{13} \)?
What is 7 divided by \( \frac{5}{18} \)?