As we have ratio 3:7 and 2:3 i.e 3/7and 2/3Firstly, We have to make the denominator equal.So, 3× 3/7× 3=9/21 and 2× 7/3× 7=14/21Here we can say 9/21 ...

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Standard IX

Mathematics

Introduction: Fractions

Compare 3:7 a...

Question

Compare
$3 : 7 a n d 2 : 3$

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Solution

As we have ratio $3 : 7 a n d 2 : 3 i . e \frac{3}{7} a n d \frac{2}{3}$
Firstly, We have to make the denominator equal.
So, $\frac{3 \times 3}{7 \times 3} = \frac{9}{21}$ and $\frac{2 \times 7}{3 \times 7} = \frac{14}{21}$
Here we can say $\frac{9}{21} < \frac{14}{21}$

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Similar questions

Q. Question 123
Tell which property allows you to compare

\frac{2}{3} \times [\frac{3}{4} \times \frac{5}{7}]

and

[\frac{2}{3} \times \frac{5}{7}] \times \frac{3}{4}

Question 2(d) :

Compare the fractions and put an appropriate sign:

$\frac{3}{5} □ \frac{3}{7}$

Q. Compare:

\frac{3}{7}

and

\frac{2}{3}

Q. Question 123
Tell which property allows you to compare

\frac{2}{3} \times [\frac{3}{4} \times \frac{5}{7}]

and

[\frac{2}{3} \times \frac{5}{7}] \times \frac{3}{4}

Q. Tell which property allows you to compare

\frac{2}{3} \times [\frac{3}{4} \times \frac{5}{7}]

[\frac{2}{3} \times \frac{5}{7}] \times \frac{3}{4}

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Compare 3:7and2:3

As we have ratio 3:7and2:3i.e37and23Firstly, We have to make the denominator equal.So, 3×37×3=921 and 2×73×7=1421Here we can say 921<1421

Compare
$3 : 7 a n d 2 : 3$

As we have ratio $3 : 7 a n d 2 : 3 i . e \frac{3}{7} a n d \frac{2}{3}$
Firstly, We have to make the denominator equal.
So, $\frac{3 \times 3}{7 \times 3} = \frac{9}{21}$ and $\frac{2 \times 7}{3 \times 7} = \frac{14}{21}$
Here we can say $\frac{9}{21} < \frac{14}{21}$