Dividing Fractions: 1 1/3 Divided by 3/4
Dividing fractions might seem tricky, but it's actually quite simple once you understand the process. Let's take the example of 1 1/3 divided by 3/4.
Here's how to solve it:
1. Convert Mixed Number to an Improper Fraction:
- First, convert the mixed number 1 1/3 into an improper fraction:
- Multiply the whole number (1) by the denominator (3): 1 * 3 = 3
- Add the numerator (1): 3 + 1 = 4
- Keep the same denominator (3): 4/3
2. The "Flip and Multiply" Rule:
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When dividing fractions, we invert (flip) the second fraction and then multiply.
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This means we change 3/4 to 4/3.
3. Multiply the Fractions:
- Now we multiply the two fractions:
- (4/3) * (4/3) = 16/9
4. Simplify (if possible):
- The fraction 16/9 is an improper fraction. We can simplify it into a mixed number:
- 16 divided by 9 equals 1 with a remainder of 7.
- So, 16/9 is equivalent to 1 7/9.
Therefore, 1 1/3 divided by 3/4 is equal to 1 7/9.