7 divided by 1/12 in fraction form simplified
The Correct Answer and Explanation is:
Correct Answer:
7÷112=841=847 \div \frac{1}{12} = \frac{84}{1} = 847÷121=184=84
Explanation:
To solve the expression 7 ÷ 1/12, we need to understand how division of fractions works. Dividing by a fraction is the same as multiplying by its reciprocal.
The reciprocal of a fraction is what you get when you flip the numerator and denominator. So, the reciprocal of 1/12 is 12/1 (which is the same as 12).
So instead of dividing 7 by 1/12, we multiply 7 by 12:7÷112=7×1217 \div \frac{1}{12} = 7 \times \frac{12}{1}7÷121=7×112
Now multiply the numerators (top numbers) and the denominators (bottom numbers):7×121×1=841\frac{7 \times 12}{1 \times 1} = \frac{84}{1}1×17×12=184
This fraction, 84/1, simplifies to the whole number 84, because any number divided by 1 is itself.
To understand what this means in real-world terms, imagine you have 7 whole items—say, 7 pies—and each pie is cut into twelfths (1/12-sized pieces). You’re asked: “How many 1/12-sized pieces can you get from 7 pies?”
Each pie gives you 12 pieces (since 1 ÷ 1/12 = 12). So 7 pies give:7×12=84 one-twelfth pieces7 \times 12 = 84 \text{ one-twelfth pieces}7×12=84 one-twelfth pieces
This is why 7 ÷ 1/12 = 84. It shows how many 1/12 units fit into 7 wholes.
In fraction form, we started with:7=717 = \frac{7}{1}7=17
So:71÷112=71×121=841\frac{7}{1} \div \frac{1}{12} = \frac{7}{1} \times \frac{12}{1} = \frac{84}{1}17÷121=17×112=184
The final simplified fraction is 84/1, and the simplest whole number is 84.
Thus, 7 ÷ 1/12 = 84, and that’s your complete answer and explanation.
