Dividing Fractions: 1 1/4 Divided by 7/8
Dividing fractions can seem tricky, but with the right approach, it becomes a straightforward process. Here's how to calculate 1 1/4 divided by 7/8:
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 * 4 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the same denominator (4): 5/4
Now we have the problem: 5/4 divided by 7/8.
2. Invert the Divisor
The next step is to invert the second fraction, which is the divisor (7/8). Inverting a fraction means flipping the numerator and denominator. This gives us 8/7.
3. Multiply the Fractions
Now, instead of dividing, we multiply the first fraction (5/4) by the inverted second fraction (8/7).
(5/4) * (8/7)
4. Simplify and Calculate
Multiply the numerators (5 * 8 = 40) and the denominators (4 * 7 = 28).
40/28
Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common factor (4):
10/7
Conclusion
Therefore, 1 1/4 divided by 7/8 is equal to 10/7 or 1 3/7 in mixed number form.