Dividing Fractions: 1 1/3 ÷ 3
Dividing fractions can seem a bit tricky, but with the right steps, it becomes straightforward. Let's break down how to solve 1 1/3 ÷ 3 in fraction form.
Step 1: Convert the mixed number to an improper fraction
- 1 1/3 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (3) and adding the numerator (1), then placing the result over the original denominator:
- (1 * 3 + 1) / 3 = 4/3
Step 2: Rewrite the division as multiplication by the reciprocal
- Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 3 is 1/3.
- Our problem now becomes: 4/3 x 1/3
Step 3: Multiply the numerators and denominators
- (4 x 1) / (3 x 3) = 4/9
Conclusion
Therefore, 1 1/3 divided by 3 is equal to 4/9.