9/10 - (1/8-3/10)= please help me through steps

43/40 or 1 3/40

Step-by-step explanation:

9/10 - (1/8 - 3/10)

Remember, we have to solve what's in the parentheses first!

To find 1/8 - 3/10, we must find the least common multiple of the denominators, which is 8 and 10.

Let's list the multiples of 8 and 10

Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

Multiples of 10: 10, 20, 30, 40, 50, 60...

We found a match! 40 is a multiple of both 8 and 10, so we can use that.

To make the denominator 40 for 1/8, we have to multiply both the numerator and denominator by the same number, and the denominator must equal 40 after.

So,

8 times what equals 40?

To make it easier, we can do 40 / 8, which is 5.

That means we multiply the denominator and numerator by 5, so we get 5/40 - 3/10.

If you do the same thing for 3/10, you get 12/40.

Our equation is much easier!

We can easily do 5/40 - 12/40, which is -7/40.

Now, we do 9/10 - (-7/40)

Remember, two minuses right next to each other make a plus!

Our equation is now 9/10 + 7/40.

If you do the least common multiple for 9/10, you get 36/40.

Finally, we do 36/40 + 7/40, which is 43/40.

If it's asking for a mixed number, it would be 1 3/40.

Therefore, 9/10 - (1/8 - 3/10) equals 43/40 or 1 3/40!

Hope this helped :)

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