Subtract rational numbers QuickChek use the additive inverse to find -24 4/5 -6 7/10
To subtract rational numbers, we need to find the common denominator for the fractions involved. In this case, the common denominator is 10.
First, we need to convert -24 4/5 and -6 7/10 to improper fractions:
-24 4/5 = -244/5
-6 7/10 = -67/10
Next, we can subtract the fractions:
-244/5 - (-67/10) = -244/5 + 67/10
To add these fractions, we need to find the common denominator, which is 10:
-244/5 + 67/10 = -244/5 * 2/2 + 67/10 = -488/10 + 67/10
Now that the fractions have the same denominator, we can add them:
-488/10 + 67/10 = -421/10
Therefore, -24 4/5 - 6 7/10 is equal to -421/10 or -42 1/10.
To subtract rational numbers -24 4/5 and -6 7/10, you can follow these steps using the additive inverse:
Step 1: Convert the mixed numbers into improper fractions.
-24 4/5 = -((24 * 5) + 4)/5 = -((120 + 4)/5) = -(124/5)
-6 7/10 = -((6 * 10) + 7)/10 = -((60 + 7)/10) = -(67/10)
Step 2: Find the additive inverse of the second fraction.
To find the additive inverse, simply change the sign. So, the additive inverse of -(67/10) is (67/10).
Step 3: Add the first fraction with the additive inverse of the second fraction.
-(124/5) + (67/10)
Step 4: Since the denominators are not the same, calculate the least common denominator (LCD) of 5 and 10. The LCD is 10.
Step 5: Rewrite the fractions with the LCD.
(-(124/5) * 2/2) + (67/10)
Step 6: Simplify the fractions.
((-124 * 2)/10) + (67/10) = (-248/10) + (67/10)
Step 7: Add the numerators.
(-248 + 67)/10 = -181/10
So, -24 4/5 - (-6 7/10) = -181/10