What part of craft paper is striped?
A.\[\dfrac{1}{3}\]
B.\[\dfrac{1}{2}\]
C.\[\dfrac{1}{4}\]
D.\[\dfrac{4}{{10}}\]
Answer
548.7k+ views
Hint: Given is a square shape divided into 8 parts. Some parts of the square are striped and some are not. We have to find the fraction of the parts that are striped. So in the numerator we will write the number of striped parts and in the denominator we will write the number of total parts. Then if needed we will simplify the fraction.
Complete step by step solution:
Given figure or shape is a square. That is divided into 8 different parts.
All parts are the same in area but some are striped and some are plane.
Now when we are asked to write a fraction of something we will write the number or quantity of asked structure in the numerator and in the denominator the total number of parts.
Now the total number of parts is 8.
From those 8 parts we can see 4 are striped that are different. This is exactly half of the total parts.
So the faction now will be,
The part of craft paper striped is given by,
\[ = \dfrac{{the{\text{ }}number{\text{ }}of{\text{ }}striped{\text{ }}parts}}{{number{\text{ }}of{\text{ }}total{\text{ }}parts}}\]
On writing the numbers we get,
\[ = \dfrac{4}{8}\]
On simplifying the fraction we get,
\[ = \dfrac{1}{2}\]
Thus this is the correct answer.
So, the correct answer is “Option B”.
Note: Note that, we are asked to find the striped part. But coincidently here the unstriped part is also the same. Both are 50% quantity. Also note that, in denominator we always write the total of the parts then whatever the quantity or shape may be.
Sometimes they ask the remaining quantity or ratio also. Then at that time we will remove the striped part from the total number of parts.
Complete step by step solution:
Given figure or shape is a square. That is divided into 8 different parts.
All parts are the same in area but some are striped and some are plane.
Now when we are asked to write a fraction of something we will write the number or quantity of asked structure in the numerator and in the denominator the total number of parts.
Now the total number of parts is 8.
From those 8 parts we can see 4 are striped that are different. This is exactly half of the total parts.
So the faction now will be,
The part of craft paper striped is given by,
\[ = \dfrac{{the{\text{ }}number{\text{ }}of{\text{ }}striped{\text{ }}parts}}{{number{\text{ }}of{\text{ }}total{\text{ }}parts}}\]
On writing the numbers we get,
\[ = \dfrac{4}{8}\]
On simplifying the fraction we get,
\[ = \dfrac{1}{2}\]
Thus this is the correct answer.
So, the correct answer is “Option B”.
Note: Note that, we are asked to find the striped part. But coincidently here the unstriped part is also the same. Both are 50% quantity. Also note that, in denominator we always write the total of the parts then whatever the quantity or shape may be.
Sometimes they ask the remaining quantity or ratio also. Then at that time we will remove the striped part from the total number of parts.
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