Comparison of Ratios

Q.

Write the following ratios in ascending order:

$3˸5,5˸6,7˸87˸10$

Q. Mohan finished colouring a picture in $\frac{7}{12}$ hour. Keerthi finished colouring the same picture in $\frac{3}{4}$ hour. Who worked longer? By what fraction was it longer? [3 MARKS]

Q. Compare the two ratios $\frac{7}{12}$ and $\frac{9}{16}$.

1. $\frac{7}{12}=\frac{9}{16}$
2. $\frac{7}{12}<\frac{9}{16}$
3. $\frac{7}{12}>\frac{9}{16}$
4. $\frac{7}{12}\ge \frac{9}{16}$

Q.

Write the following ratios in descending order:

$4˸7,5˸14,3˸141˸3$

Q. If 8:2 is greater than 5:$a$, value of a is greater than .

1. $\frac{5}{4}$
2. $\frac{4}{5}$
3. $\frac{10}{5}$

Q. If 8:2 is greater than 5:$a$, then the value of a is greater than _____.

1. $\frac{5}{4}$
2. $\frac{4}{5}$
3. $\frac{2}{5}$
4. $\frac{3}{5}$

Q. The numerator of a fraction is $7$ less than its denominator. If the denominator is increased by $9$ and the numerator by $2$, the fraction becomes $\frac{2}{3}$. Find the fraction.

1. $\frac{25}{33}$
2. $\frac{33}{25}$
3. $\frac{26}{33}$
4. $\frac{33}{26}$

Q. If numbers a, b, c, d are positive and if $\frac{a}{b}$ > $\frac{c}{d}$, then :

1. ad < bc
2. ad > bc
3. ad = bc
4. $ad\ge bc$

Q. 5:3 is 6:2

1. greater than
2. less than
3. equal to
4. incomparable to

Q. 8:2 is 6:2

1. greater than
2. less than
3. equal to
4. incomparable to

Q. The ratio $2:3$ is greater than the ratio $3:2.$

1. True
2. False