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Answer :
Sure! Let's figure out how much wood is left after the carpenter makes the cut.
1. Start with the initial length of wood:
The carpenter has a piece of wood that measures [tex]\(\frac{5}{8}\)[/tex] meter.
2. Length of wood cut:
The carpenter cuts off a piece measuring [tex]\(\frac{1}{4}\)[/tex] meter from the original piece.
3. Find the remaining length of wood:
To find out how much wood is left, subtract the length of wood that was cut from the initial length.
[tex]\[
\text{Remaining length} = \frac{5}{8} - \frac{1}{4}
\][/tex]
4. Convert fractions to have a common denominator:
To subtract the fractions, they need to have the same denominator. Both [tex]\(\frac{5}{8}\)[/tex] and [tex]\(\frac{1}{4}\)[/tex] need a common denominator of 8.
Convert [tex]\(\frac{1}{4}\)[/tex] to have a denominator of 8:
[tex]\[
\frac{1}{4} = \frac{2}{8}
\][/tex]
5. Subtract the fractions:
Now, subtract [tex]\(\frac{2}{8}\)[/tex] from [tex]\(\frac{5}{8}\)[/tex]:
[tex]\[
\frac{5}{8} - \frac{2}{8} = \frac{3}{8}
\][/tex]
The remaining length of the wood is [tex]\(\frac{3}{8}\)[/tex] meter.
Thus, the correct answer is:
c) [tex]\(\frac{3}{8}\)[/tex] metre.
1. Start with the initial length of wood:
The carpenter has a piece of wood that measures [tex]\(\frac{5}{8}\)[/tex] meter.
2. Length of wood cut:
The carpenter cuts off a piece measuring [tex]\(\frac{1}{4}\)[/tex] meter from the original piece.
3. Find the remaining length of wood:
To find out how much wood is left, subtract the length of wood that was cut from the initial length.
[tex]\[
\text{Remaining length} = \frac{5}{8} - \frac{1}{4}
\][/tex]
4. Convert fractions to have a common denominator:
To subtract the fractions, they need to have the same denominator. Both [tex]\(\frac{5}{8}\)[/tex] and [tex]\(\frac{1}{4}\)[/tex] need a common denominator of 8.
Convert [tex]\(\frac{1}{4}\)[/tex] to have a denominator of 8:
[tex]\[
\frac{1}{4} = \frac{2}{8}
\][/tex]
5. Subtract the fractions:
Now, subtract [tex]\(\frac{2}{8}\)[/tex] from [tex]\(\frac{5}{8}\)[/tex]:
[tex]\[
\frac{5}{8} - \frac{2}{8} = \frac{3}{8}
\][/tex]
The remaining length of the wood is [tex]\(\frac{3}{8}\)[/tex] meter.
Thus, the correct answer is:
c) [tex]\(\frac{3}{8}\)[/tex] metre.
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