1 1/6 Divided By 1/4

2 min read Jun 17, 2024
1 1/6 Divided By 1/4

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

  1. Convert the mixed number to a fraction:

    • 1 1/6 is equivalent to (1 * 6 + 1) / 6 = 7/6
  2. Flip the second fraction:

    • 1/4 becomes 4/1
  3. Multiply the fractions:

    • (7/6) * (4/1) = (7 * 4) / (6 * 1) = 28/6
  4. 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.

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