Dividing Fractions: 1 1/3 ÷ 1 1/3
Dividing fractions can seem daunting, but it's actually quite straightforward. Let's break down how to solve 1 1/3 ÷ 1 1/3 step-by-step.
1. Convert Mixed Numbers to Improper Fractions
- 1 1/3: Multiply the whole number (1) by the denominator (3), then add the numerator (1). Keep the same denominator. This gives us 4/3.
- 1 1/3: We already know this is 4/3.
Now our problem looks like this: 4/3 ÷ 4/3.
2. Invert the Second Fraction and Multiply
To divide fractions, we flip the second fraction and multiply. This means we invert 4/3 to 3/4. Our new problem becomes: 4/3 x 3/4.
3. Multiply the Numerators and Denominators
- 4/3 x 3/4 = (4 x 3) / (3 x 4)
4. Simplify
- 12/12 = 1
Therefore, 1 1/3 ÷ 1 1/3 = 1.
Key takeaway: Dividing any number by itself always equals 1.