To find the sum of −24 4/5 and −6 7/10 using the additive inverse, we can rewrite the second number as its additive inverse and then perform addition.
The additive inverse of −6 7/10 is 6 7/10, where we simply change the sign.
Now we can add −24 4/5 and 6 7/10:
−24 4/5 + 6 7/10
To add these fractions, we need to find a common denominator. The least common multiple of 5 and 10 is 10.
Converting −24 4/5 to an improper fraction, we get:
−24 4/5 = −(24 * 5 + 4)/5 = −(120 + 4)/5 = −124/5
Converting 6 7/10 to an improper fraction, we get:
6 7/10 = (6 * 10 + 7)/10 = (60 + 7)/10 = 67/10
Now we can add the fractions together:
−124/5 + 67/10
To add these fractions, we first need to find a common denominator. The least common multiple of 5 and 10 is 10.
Converting −124/5 to an equivalent fraction with a denominator of 10, we multiply the numerator and denominator by 2:
−124/5 = −(124 * 2)/(5 * 2) = −248/10
Now we can add the fractions together:
−248/10 + 67/10 = (−248 + 67)/10 = −181/10
Therefore, the sum of −24 4/5 and −6 7/10 using the additive inverse is −181/10.
Use the additive inverse to find −24 4/5 − 6 7/10
2 answers
Use the additive inverse to find −24 4/5 − 6 7/10