The answer is [tex]2 \frac{1}{6} [/tex].
Explanation:
In order to subtract the fractions, we must make them like fractions. To do this, the denominators must be the same by multiplying (only). Since the first fraction is [tex] \frac{10}{3} [/tex], 3 can be multiplied by 2 to get 6, which is the other fraction, we can multiply it. Whatever you do to the denominator you must do to the numerator. Now multiply 2 by the numerator (10) to get [tex] \frac{20}{6} [/tex]. Now we can subtract the fractions [tex] \frac{20}{6} [/tex] and [tex] \frac{7}{6} [/tex] to get 13/6. Since this fraction is not in mixed fraction form yet, we must do that first. goes into 13 twice, so the whole number is 2 and there is still 1 left, making the fraction [tex] \frac{1}{6} [/tex]. Therefore, the difference is 2 [tex] \frac{1}{6} [/tex].
