To simplify the expression 35 2/5 × 5, we can first convert the mixed number 35 2/5 into an improper fraction.
To do this, we multiply the whole number (35) by the denominator of the fraction (5) and add the numerator (2). This gives us 35*5 + 2 = 175 + 2 = 177.
So, the mixed number 35 2/5 can be written as the improper fraction 177/5.
Now, we can multiply the improper fraction by 5:
177/5 * 5 = (177 * 5)/(5 * 1) = 885/5 = 177.
Therefore, 35 2/5 × 5 equals 177.