To subtract \( \frac{3}{4} \) from \( \frac{9}{10} \), we need to find a common denominator. The least common multiple of 10 and 4 is 20.
Now, let's convert both fractions to have a denominator of 20:
-
Convert \( \frac{9}{10} \): \[ \frac{9}{10} = \frac{9 \times 2}{10 \times 2} = \frac{18}{20} \]
-
Convert \( \frac{3}{4} \): \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]
Now we can subtract the two fractions: \[ \frac{18}{20} - \frac{15}{20} = \frac{18 - 15}{20} = \frac{3}{20} \]
Thus, \[ \frac{9}{10} - \frac{3}{4} = \frac{3}{20} \]