Use the additive inverse to find -124 over 5 subtracted by 420 over 10
To find the subtraction of fractions, we need to have a common denominator. In this case, the common denominator is 5.
So we need to convert 420/10 to a fraction with a denominator of 5.
To do this, we multiply both the numerator and the denominator by 5:
420/10 * 5/5 = 2100/50
Now we can subtract the fractions:
-124/5 - 2100/50
With a common denominator of 5, we can combine the numerators:
(-124 * 50 - 2100) / 5 = (-6200 - 2100) / 5 = -8300 / 5
Now we can simplify the fraction:
-8300 / 5 = -1660
Therefore, -124/5 - 420/10 = -1660.
no, I said to use the additive inverse to find Use the additive inverse to find negative124 over 5 subtracted by 420 over 10
Apologies for the misunderstanding. To find the additive inverse of a fraction, we simply change the sign of the numerator.
The additive inverse of -124/5 is 124/5.
The additive inverse of 420/10 is -420/10 which can be simplified to -42/1.
Therefore, -124/5 subtracted by 420/10 can be rewritten as -124/5 + (-420/10).
Now, let's find a common denominator. The multiples of 5 are 5, 10, 15, 20,... and the multiples of 10 are 10, 20, 30, 40,...
The least common multiple of 5 and 10 is 10.
Converting the fractions to have a denominator of 10:
-124/5 * 2/2 = -248/10
-420/10
Now we can subtract the fractions:
-248/10 - 420/10 = (-248 - 420) / 10 = -668 / 10
Simplifying the fraction:
-668 / 10 = -334/5
Therefore, -124/5 subtracted by 420/10 is equal to -334/5.
To subtract fractions, we need to have the same denominator. In this case, the denominators are already the same, so we can perform the subtraction directly.
The expression -124/5 subtracted by 420/10 can be written as:
(-124/5) - (420/10)
To subtract fractions, we subtract the numerators while keeping the denominator the same.
So,
(-124/5) - (420/10) = (-124 - 420)/5
Simplifying the numerator:
-124 - 420 = -544
Therefore, the expression simplifies to:
(-544)/5
To find the additive inverse of a fraction, we multiply the numerator by -1.
Therefore, the expression becomes:
-1 * (544/5) = -544/5