Solve: 9/10 - 1/5 - 4/10 Fraction Subtraction Problem

To solve the problem $\frac{9}{10} - \frac{1}{5} - \frac{4}{10}$, we follow these steps:

• Step 1: Identify the common denominator.
• Step 2: Convert all fractions to have this common denominator.
• Step 3: Perform the subtraction.
• Step 4: Simplify the resulting fraction, if necessary.

Now, let's apply these steps:

Step 1: The common denominator for the fractions is 10 since this is a multiple of both 10 and 5.

Step 2: Convert $\frac{1}{5}$ to a fraction with denominator 10. To do this, multiply both the numerator and the denominator by 2:

$\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10}$

Now, our expression is $\frac{9}{10} - \frac{2}{10} - \frac{4}{10}$.

Step 3: Subtract the fractions:

First, subtract $\frac{2}{10}$ from $\frac{9}{10}$:

$\frac{9}{10} - \frac{2}{10} = \frac{9 - 2}{10} = \frac{7}{10}$

Next, subtract $\frac{4}{10}$ from $\frac{7}{10}$:

$\frac{7}{10} - \frac{4}{10} = \frac{7 - 4}{10} = \frac{3}{10}$

Step 4: The fraction $\frac{3}{10}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{3}{10}$.