Dividing Fractions: 1 1/6 Divided by 7/8
Dividing fractions can seem tricky, but it's actually quite straightforward. Here's how to divide 1 1/6 by 7/8:
1. Convert Mixed Numbers to Improper Fractions
- 1 1/6: Multiply the whole number (1) by the denominator (6) and add the numerator (1). This gives you 7. Keep the same denominator (6). So, 1 1/6 is equal to 7/6.
2. Flip the Second Fraction (Find the Reciprocal)
- The reciprocal of 7/8 is 8/7.
3. Multiply the First Fraction by the Reciprocal
- Now we have 7/6 * 8/7.
4. Simplify and Multiply
- 7/6 * 8/7 = 56/42.
5. Reduce to Simplest Form
- 56/42 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 14.
- This gives us 4/3.
Answer:
Therefore, 1 1/6 divided by 7/8 is equal to 4/3.