Answer:
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 :)
