Answer:
First, let's convert the mixed numbers into improper fractions:
3 3/10 = (3 * 10 + 3)/10 = 33/10
1 4/7 = (1 * 7 + 4)/7 = 11/7
Now, we can divide the two fractions:
33/10 ÷ 11/7
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 11/7 is 7/11.
So, the division becomes:
33/10 * 7/11
Next, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
(33 * 7) / (10 * 11) = 231/110
Finally, simplify the fraction, if possible. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 11:
231/110 = (231 ÷ 11)/(110 ÷ 11) = 21/10
Therefore, 3 3/10 divided by 1 4/7 is equal to 21/10.