1. Convert the mixed numbers to fractions:
- 15 1/5 becomes 76/5 (multiply the whole number by the denominator and add the numerator)
- 1 3/5 becomes 8/5 (same process)
2. Now, divide the first fraction by the second fraction:
- (76/5) ÷ (8/5)
3. To divide fractions, multiply the first fraction by the reciprocal (the flipped version) of the second fraction:
- (76/5) * (5/8)
4. Multiply the numerators (top numbers) and denominators (bottom numbers):
- (76 * 5) / (5 * 8) = 380/40
5. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 20:
- (380/20) / (40/20) = 19/2
So, 15 1/5 divided by 1 3/5 is equal to 19/2 or simply 9.5 when expressed as a decimal.