To determine how much the picture needs to be trimmed to fit into the frame, let us follow these steps:
1. Convert both measurements to improper fractions:
- For the original width of the picture, which is [tex]\(7 \frac{3}{5} \)[/tex]:
- First convert [tex]\(7 \frac{3}{5}\)[/tex] to an improper fraction:
[tex]\[
7 \cdot 5 + 3 = 35 + 3 = 38
\][/tex]
So,
[tex]\[
7 \frac{3}{5} = \frac{38}{5}
\][/tex]
- For the width of the frame, which is [tex]\(7 \frac{3}{10}\)[/tex]:
- Convert [tex]\(7 \frac{3}{10}\)[/tex] to an improper fraction:
[tex]\[
7 \cdot 10 + 3 = 70 + 3 = 73
\][/tex]
So,
[tex]\[
7 \frac{3}{10} = \frac{73}{10}
\][/tex]
2. Convert the improper fractions to decimal form:
- The original width of the picture:
[tex]\[
\frac{38}{5} = 38 \div 5 = 7.6 \, \text{cm}
\][/tex]
- The width of the frame:
[tex]\[
\frac{73}{10} = 73 \div 10 = 7.3 \, \text{cm}
\][/tex]
3. Calculate the trimming amount:
- Subtract the width of the frame from the original width of the picture:
[tex]\[
7.6 \, \text{cm} - 7.3 \, \text{cm} = 0.3 \, \text{cm}
\][/tex]
Thus, the picture should be trimmed by [tex]\(0.3 \, \text{cm}\)[/tex] to fit into the frame.
