Dividing Fractions: 1 1/4 ÷ 3/4
Dividing fractions can seem intimidating, but with the right steps, it becomes a simple process. Let's break down how to solve 1 1/4 ÷ 3/4 and get the answer as a fraction.
1. Convert Mixed Number to a Fraction:
First, we need to convert the mixed number 1 1/4 into an improper fraction:
- Multiply the whole number (1) by the denominator (4): 1 x 4 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the same denominator (4): 5/4
Now our problem looks like this: 5/4 ÷ 3/4
2. Invert the Second Fraction and Multiply:
The key to dividing fractions is to invert the second fraction (the one we're dividing by) and multiply.
- Invert 3/4 to get 4/3.
- Change the division sign to a multiplication sign.
Our problem now becomes: 5/4 x 4/3
3. Simplify and Multiply:
- Simplify if possible: Notice that both fractions share a common factor of 4. We can cancel out the 4s, leaving us with 5/1 x 1/3.
- Multiply the numerators and the denominators: 5 x 1 = 5 and 1 x 3 = 3
4. The Answer:
The answer to 1 1/4 ÷ 3/4 is 5/3.
Remember: You can also express the answer as a mixed number: 1 2/3.