−24 4/5−6 7/10

1 answer

To subtract −24 4/5 from −6 7/10, we can write both numbers as improper fractions and then subtract them.

−24 4/5 = −(24*5 + 4)/5 = −(120 + 4)/5 = −124/5

−6 7/10 = −(6*10 + 7)/10 = −(60 + 7)/10 = −67/10

Now we can subtract:

−124/5 - (−67/10)

To simplify this expression, we need a common denominator. The least common multiple of 5 and 10 is 10. So, we'll multiply the numerator and denominator of the first fraction by 2.

−124/5 - (−67/10) = (−124 * 2)/(5 * 2) - (−67/10) = −248/10 + 67/10

Now that both fractions have the same denominator, we can subtract their numerators:

−248/10 + 67/10 = (−248 + 67)/10 = −181/10

Therefore, −24 4/5 - −6 7/10 = −181/10