Answer
Verified
417.9k+ views
Hint: To solve this question we would obtain the ratio of both the sides of the equation and convert it into fraction. Then would go for converting the simplest form of the fraction and comparing if they are equal.
Complete step-by-step solution -
Given two ratios of real numbers. We have to check if the given ratio is equal or not.
\[21:6=35:10\].
To solve this question, we will first of all solve the left-hand side ratio and then will solve the right-hand side ratio. Then we check if both are equal or not.
Observing the left-hand side ratio, we have 21:6 which is\[\dfrac{21}{6}\].
Because 21 is not a multiple of 6 therefore, it cannot be properly divided by 6.
Hence, the given fraction would not reduce further.
Now considering the right-hand side of the above expression we get that the ratio is 35:10.
Converting the ratio 35:10 into fraction we have \[\dfrac{35}{10}\].
Noe dividing both the numerator and the denominator by 5 we get,
\[\dfrac{7}{2}\].
Now \[\dfrac{7}{2}\] cannot be reduced further.
Equating both the obtained fractions we have left-hand side fraction as 21/6 and right hand side fraction as 7/2.
We see that both of the obtained fractions are not equal.
Hence, we obtained that the expression \[21:6=35:10\] is False.
Matching from the options given below we have, option (b) is correct.
Note: The possibility of error in this question is not converting the fraction into simplest form and comparing without doing so. Which would ultimately give the wrong result. Always go for converting in simplest form first and then doing further calculation.
Complete step-by-step solution -
Given two ratios of real numbers. We have to check if the given ratio is equal or not.
\[21:6=35:10\].
To solve this question, we will first of all solve the left-hand side ratio and then will solve the right-hand side ratio. Then we check if both are equal or not.
Observing the left-hand side ratio, we have 21:6 which is\[\dfrac{21}{6}\].
Because 21 is not a multiple of 6 therefore, it cannot be properly divided by 6.
Hence, the given fraction would not reduce further.
Now considering the right-hand side of the above expression we get that the ratio is 35:10.
Converting the ratio 35:10 into fraction we have \[\dfrac{35}{10}\].
Noe dividing both the numerator and the denominator by 5 we get,
\[\dfrac{7}{2}\].
Now \[\dfrac{7}{2}\] cannot be reduced further.
Equating both the obtained fractions we have left-hand side fraction as 21/6 and right hand side fraction as 7/2.
We see that both of the obtained fractions are not equal.
Hence, we obtained that the expression \[21:6=35:10\] is False.
Matching from the options given below we have, option (b) is correct.
Note: The possibility of error in this question is not converting the fraction into simplest form and comparing without doing so. Which would ultimately give the wrong result. Always go for converting in simplest form first and then doing further calculation.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Select the word that is correctly spelled a Twelveth class 10 english CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What organs are located on the left side of your body class 11 biology CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE