Answer :
Sure, let's solve the problem step-by-step to find out what percentage of the strip has been cut off.
1. Identify the total length of the strip:
The strip is initially 20 cm long.
2. Identify the length of the piece cut off:
Song cut off a piece that is 5 cm long.
3. Determine the fraction of the strip that was cut off:
To find the fraction of the strip that was cut off, we divide the length of the piece cut off by the total length of the strip.
[tex]\[ \text{Fraction cut off} = \frac{\text{Length of piece cut off}}{\text{Total length of strip}} = \frac{5 \text{ cm}}{20 \text{ cm}} \][/tex]
4. Simplify the fraction:
[tex]\[ \text{Fraction cut off} = \frac{5}{20} = \frac{1}{4} \][/tex]
5. Convert the fraction to a percentage:
To convert a fraction to a percentage, we multiply the fraction by 100%.
[tex]\[ \text{Percentage cut off} = \left( \frac{1}{4} \right) \times 100\% = 25\% \][/tex]
So, Song cut off 25% of the strip of paper.
1. Identify the total length of the strip:
The strip is initially 20 cm long.
2. Identify the length of the piece cut off:
Song cut off a piece that is 5 cm long.
3. Determine the fraction of the strip that was cut off:
To find the fraction of the strip that was cut off, we divide the length of the piece cut off by the total length of the strip.
[tex]\[ \text{Fraction cut off} = \frac{\text{Length of piece cut off}}{\text{Total length of strip}} = \frac{5 \text{ cm}}{20 \text{ cm}} \][/tex]
4. Simplify the fraction:
[tex]\[ \text{Fraction cut off} = \frac{5}{20} = \frac{1}{4} \][/tex]
5. Convert the fraction to a percentage:
To convert a fraction to a percentage, we multiply the fraction by 100%.
[tex]\[ \text{Percentage cut off} = \left( \frac{1}{4} \right) \times 100\% = 25\% \][/tex]
So, Song cut off 25% of the strip of paper.
