What fraction represents the result of 4 1/5 minus 3 5/6 in its simplest form?

To solve the problem of subtracting the mixed numbers 4 1/5 and 3 5/6, we first convert each mixed number to an improper fraction.

Starting with 4 1/5, we multiply the whole number (4) by the denominator (5) and add the numerator (1). This gives us:

[ 4 \times 5 + 1 = 20 + 1 = 21. ]

So, 4 1/5 can be expressed as the improper fraction ( \frac{21}{5} ).

Next, for the mixed number 3 5/6, we similarly convert it to an improper fraction:

[ 3 \times 6 + 5 = 18 + 5 = 23. ]

Thus, 3 5/6 is represented by the improper fraction ( \frac{23}{6} ).

Now, we need to perform the subtraction ( \frac{21}{5} - \frac{23}{6} ). To do this, we need a common denominator. The least common multiple of 5 and 6 is 30. We convert both fractions accordingly:

For ( \frac{21}{5} \