-24 4/5 - 6 7/10 as a fraction
To solve this problem, we need to find a common denominator for the fractions and then subtract them.
The common denominator for 5 and 10 is 10.
Converting 4/5 to have 10 as the denominator:
4/5 * 2/2 = 8/10
Converting 7/10 to have 10 as the denominator:
7/10 * 1/1 = 7/10
Now we can subtract the fractions:
(8/10) - (7/10) = 1/10
Therefore, -24 4/5 - 6 7/10 as a fraction is -241/10.
To subtract -24 4/5 - 6 7/10 as a fraction, we need to convert these mixed numbers into improper fractions first.
To convert -24 4/5 to an improper fraction:
Step 1: Multiply the whole number (-24) by the denominator (5), and add the numerator (4) to the result.
-24 * 5 + 4 = -120 + 4 = -116
Step 2: The denominator stays the same, so our result is -116/5.
To convert 6 7/10 to an improper fraction:
Step 1: Multiply the whole number (6) by the denominator (10), and add the numerator (7) to the result.
6 * 10 + 7 = 60 + 7 = 67
Step 2: The denominator stays the same, so our result is 67/10.
Now that we have -116/5 and 67/10, we can subtract them:
Step 1: Find a common denominator between 5 and 10. The least common multiple (LCM) of 5 and 10 is 10.
Step 2: Multiply the numerator and the denominator of -116/5 by 2 to get a denominator of 10.
-116 * 2 = -232
5 * 2 = 10
So, -116/5 is equivalent to -232/10.
Step 3: The denominator of -232/10 and 67/10 is the same, so we subtract the numerators:
-232/10 - 67/10 = (-232 - 67) / 10 = -299/10
Therefore, -24 4/5 - 6 7/10 as a fraction is -299/10.