A picture is` 7 3/5` cm wide. How much should it be trimmed to fit in a frame `7 3/10 cm wide?

Answer

To solve the problem of how much the picture should be trimmed to fit in the frame, we can follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers into improper fractions for easier calculations.

- The width of the picture is \( 7 \frac{3}{5} \) cm.
- To convert this to an improper fraction:
\[ 7 \frac{3}{5} = \frac{(7 \times 5) + 3}{5} = \frac{35 + 3}{5} = \frac{38}{5} \text{ cm} \]

- The width of the frame is \( 7 \frac{3}{10} \) cm.
- To convert this to an improper fraction:
\[ 7 \frac{3}{10} = \frac{(7 \times 10) + 3}{10} = \frac{70 + 3}{10} = \frac{73}{10} \text{ cm} \]

### Step 2: Find the Difference in Width
Next, we need to find out how much needs to be trimmed by subtracting the width of the frame from the width of the picture.

\[ \text{Amount to trim} = \text{Width of picture} - \text{Width of frame} \]
\[ = \frac{38}{5} - \frac{73}{10} \]

### Step 3: Find a Common Denominator
To subtract these fractions, we need a common denominator. The least common multiple of 5 and 10 is 10.

- Convert \( \frac{38}{5} \) to a fraction with a denominator of 10:
\[ \frac{38}{5} = \frac{38 \times 2}{5 \times 2} = \frac{76}{10} \]

### Step 4: Perform the Subtraction
Now we can subtract the two fractions:
\[ \frac{76}{10} - \frac{73}{10} = \frac{76 - 73}{10} = \frac{3}{10} \]

### Step 5: Conclusion
The amount that should be trimmed from the picture to fit in the frame is \( \frac{3}{10} \) cm.

---