Dividing Fractions: 1 1/3 ÷ 4
Dividing fractions can seem tricky, but it's actually quite simple! Here's how to solve 1 1/3 ÷ 4:
1. Convert the mixed number to an improper fraction.
- To do this, multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4.
- Keep the same denominator (3).
- Our improper fraction is 4/3.
2. Rewrite the division problem as a multiplication problem.
- Dividing by a number is the same as multiplying by its reciprocal.
- The reciprocal of 4 is 1/4.
- Our new problem is (4/3) x (1/4).
3. Multiply the numerators and the denominators.
- (4 x 1) / (3 x 4) = 4/12
4. Simplify the fraction.
- Both 4 and 12 are divisible by 4.
- 4/12 simplifies to 1/3.