Dividing Fractions: 1 1/2 ÷ 7/8
Dividing fractions can seem tricky, but it's actually a simple process! Let's break down how to solve 1 1/2 ÷ 7/8.
Step 1: Convert Mixed Number to a Fraction
First, we need to convert the mixed number 1 1/2 to an improper fraction.
- Multiply the whole number (1) by the denominator (2): 1 x 2 = 2
- Add the numerator (1): 2 + 1 = 3
- Keep the same denominator (2): 3/2
Step 2: Invert the Second Fraction (Divisor)
The next step is to flip the second fraction, 7/8, which is called finding its reciprocal.
- 7/8 becomes 8/7.
Step 3: Multiply the Fractions
Now, we simply multiply the first fraction (3/2) by the reciprocal of the second fraction (8/7).
- (3/2) x (8/7)
Step 4: Simplify (If Possible)
Multiply the numerators and the denominators:
- (3 x 8) / (2 x 7) = 24/14
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
- 24/14 = 12/7
Therefore, 1 1/2 ÷ 7/8 = 12/7.
You can also express this as a mixed number: 1 5/7.