Answer:
3/5
Step-by-step explanation:
Represent the number by n. Then 2(3/4) - n = 0.9, or 9/10.
Our task is to solve this equation for n.
Performing the indicated multiplication, we get 3/2 - n = 9/10.
Recognizing that the LCD is 10, we multiply all three terms by 10:
15 - 10n = 9, which simplifies to 6 = 10n. Then n = 6/10, or 3/5.
Check: Is the product of 2 and 3/4 minus a number (3/5) equal to 0.9?
Is (3/2) - 3/5 = 9/10? Is 15/10 - 6/10 = 9/10? YES
The number is 3/5.
