Question

1/5m+1/3n m=35 n=-18

Answer 1

1/5*35+1/3*(-18)=7-6=1

Answer 2

To evaluate the expression 1/(5m) + 1/(3n) with m = 35 and n = -18, we substitute the given values and calculate:

1/(5m) + 1/(3n)

Replacing m with 35 and n with -18:

1/(5 * 35) + 1/(3 * -18)

Simplifying the expression:

1/175 - 1/54

To combine the fractions, we need to find a common denominator. The least common multiple (LCM) of 175 and 54 is 945. Therefore, we'll express both fractions with the common denominator of 945:

(1/175) * (945/945) - (1/54) * (945/945)

Now we can combine the fractions:

945/945 * 1/175 - 945/945 * 1/54

Simplifying further:

945/165375 - 945/51030

To subtract the fractions, we need a common denominator, which is the product of the denominators:

(945 * 51030)/(165375 * 51030) - (945 * 165375)/(51030 * 165375)

Calculating the numerators:

(48159750 - 15675075075)/(8446286250)

Simplifying the numerator:

(-15626915325)/(8446286250)

Dividing the numerator by the denominator:

-1.848

Therefore, 1/(5m) + 1/(3n) with m = 35 and n = -18 is approximately equal to -1.848.