Dividing Fractions: 1 1/6 ÷ 1/4
Dividing fractions can seem daunting, but it's actually quite simple once you understand the process. Let's break down how to solve 1 1/6 ÷ 1/4.
Understanding the Concept
The key to dividing fractions is to flip the second fraction and multiply. This means we'll change the division problem into a multiplication problem by inverting the divisor.
Solving the Problem

Convert the mixed number to a fraction:
 1 1/6 is equivalent to (1 * 6 + 1) / 6 = 7/6

Flip the second fraction:
 1/4 becomes 4/1

Multiply the fractions:
 (7/6) * (4/1) = (7 * 4) / (6 * 1) = 28/6

Simplify the fraction (if possible):
 28/6 can be simplified to 14/3 or expressed as a mixed number: 4 2/3
Answer
Therefore, 1 1/6 ÷ 1/4 = 14/3 or 4 2/3.