Final answer:
So, the answer in fraction form is 17/5.
Step-by-step explanation:
To evaluate 6 2/5 − 3 in fraction form, first, we need to express the mixed number 6 2/5 as an improper fraction. We do this by multiplying the whole number 6 by the denominator of the fraction (which is 5), then adding the numerator of the fraction (which is 2). This gives us 6 * 5 + 2 = 30 + 2 = 32, so the improper fraction is 32/5.
To evaluate 6 2/5 − 3 in fraction form, convert the mixed number to an improper fraction (32/5), write 3 as a fraction (15/5), and subtract to get the answer (17/5).
Next, we convert the whole number 3 into a fraction with the same denominator as 32/5. The number 3 is equal to 3/1, and when we convert it to have a denominator of 5, it becomes 15/5 (since 3 * 5 = 15).
Now we can subtract the two fractions because they have the same denominator. We subtract the numerators and keep the denominator the same:
32/5 − 15/5 = (32 − 15) / 5 = 17/5
So, the answer in fraction form is 17/5.