Dividing Fractions: 1 1/2 ÷ 7/8
Dividing fractions can seem daunting, but it's actually quite simple once you understand the process. Here's how to solve 1 1/2 ÷ 7/8:
Step 1: Convert Mixed Numbers to Improper Fractions
First, convert the mixed number 1 1/2 to an improper fraction.
- Multiply the whole number (1) by the denominator (2): 1 * 2 = 2
- Add the numerator (1): 2 + 1 = 3
- Keep the same denominator (2): 3/2
Now our problem looks like this: 3/2 ÷ 7/8
Step 2: Invert the Second Fraction and Multiply
The rule for dividing fractions is to invert the second fraction and multiply.
- Invert 7/8 to become 8/7.
Now our problem becomes: 3/2 x 8/7
Step 3: Multiply the Numerators and Denominators
- Multiply the numerators: 3 x 8 = 24
- Multiply the denominators: 2 x 7 = 14
This gives us: 24/14
Step 4: Simplify the Result
The fraction 24/14 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2:
- 24 ÷ 2 = 12
- 14 ÷ 2 = 7
Therefore, 1 1/2 ÷ 7/8 = 12/7
Expressing the Answer
The answer can also be expressed as a mixed number: 1 5/7
You can also convert it to a decimal: approximately 1.71.