Answer: 1 3/5 divided by 3/8 is equal to 22/3 in simplest form.
Explanation:
To express the answer to 1 3/5 divided by 3/8 in simplest form, we first need to convert the mixed number 1 3/5 to an improper fraction. To do this, we can multiply the whole number (1) by the denominator of the fraction (5) and add the numerator (3) to get:
1 * 5 + 3 = 8 + 3 = 11/5
We can then divide this fraction by 3/8 to get the final answer:
$\frac{11/5}{3/8}$
To divide fractions, we can multiply the numerator of the first fraction by the reciprocal of the second fraction:
$\frac{11/5}{3/8} = \frac{11/5}{3/8} \cdot \frac{8/8}{8/8} = \frac{11/5}{3/8} \cdot \frac{8}{3} = \frac{118}{53} = \frac{88}{15}$
Simplifying this fraction gives us:
$\frac{88}{15} = \frac{22}{3}$
Therefore, 1 3/5 divided by 3/8 is equal to 22/3 in simplest form.