Use the additive inverse to find -124 over 5 subtracted by 420 over 10

3 answers

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.
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