9/14 Divided by 7 1/2 as a Fraction
This problem involves dividing fractions. Here's how to solve it step-by-step:
1. Convert Mixed Number to a Fraction:
- 7 1/2 is a mixed number. To convert it into a fraction, multiply the whole number (7) by the denominator (2), add the numerator (1), and keep the same denominator.
- (7 * 2) + 1 = 15
- 7 1/2 is equivalent to 15/2
2. Reciprocal of the Divisor:
- When dividing fractions, we multiply by the reciprocal of the second fraction (the divisor).
- The reciprocal of 15/2 is 2/15.
3. Multiplication:
- Now, we multiply the first fraction (9/14) by the reciprocal of the second fraction (2/15).
4. Simplify:
- Multiply the numerators and the denominators:
- (9 * 2) / (14 * 15) = 18/210
- Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (6):
- 18/210 = 3/35
Therefore, 9/14 divided by 7 1/2 is equal to 3/35.
