Give two equivalent ratios for each of the following.
(i) 3 : 2
(ii) 1 : 6
(iii) 5 : 4

Open in App

Solution

(i) $3 : 2$

$\frac{3}{2} \times \frac{2}{2} = \frac{6}{4} = 6 : 4$

$\frac{3}{2} \times \frac{3}{3} = \frac{9}{6} = 9 : 6$

$6 : 4$ and $9 : 6$ are equivalent to $3 : 2$

(ii) $1 : 6$

Equivalent Ratios of 1:6 are $\frac{1}{6} \times \frac{2}{2} = \frac{2}{12} = 2 : 12$

$\frac{1}{6} \times \frac{3}{3} = \frac{3}{18} = 3 : 182 : 12$ and $3 : 18$ are equivalent to $1 : 6$

(iii) $5 : 4$

$\frac{5}{4} \times \frac{2}{2} = \frac{10}{8} = 10 : 8$

$\frac{5}{4} \times \frac{3}{3} = \frac{15}{12} = 15 : 12$

Equivalent ratios of $5 : 4$ are $10 : 8$ and $15 : 12$

Suggest Corrections

Similar questions

Q. Write 'T' for true and 'F' for false for each of the statements given below:
(i) 30, 40, 45, 60 are in proportion.
(ii) 6 : 8 and 9 : 12 are equivalent ratios of 3 : 4.
(iii) a dozen : a score = 5 : 3.
(iv) 60 p : Rs 3 = 1 : 5.

Give four rational numbers equivalent to:

(i) (ii) (iii)

Express each of the following ratios as percents:
(i) $4 : 5$
(ii) $1 : 5$
(iii) $11 : 125$

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(i) $(- 1, - 2), (1, 0), (- 1, 2), (- 3, 0)$
(ii) $(- 3, 5), (3, 1), (0, 3), (- 1, - 4)$
(iii) $(4, 5), (7, 6), (4, 3), (1, 2)$

Convert each of the following ratios into a percentage:
(i) $37 : 100$
(ii) $16 : 25$
(iii) $3 : 5$
(iv) $5 : 4$

Join BYJU'S Learning Program

Give two equivalent ratios for each of the following. (i) 3 : 2 (ii) 1 : 6 (iii) 5 : 4

(i) 3:2 32×22=64=6:4 32×33=96=9:6 6:4 and 9:6 are equivalent to 3:2 (ii) 1:6 Equivalent Ratios of 1:6 are 16×22=212=2:12 16×33=318=3:182:12 and 3:18 are equivalent to 1:6 (iii) 5:4 54×22=108=10:8 54×33=1512=15:12 Equivalent ratios of 5:4 are 10:8 and 15:12

Give two equivalent ratios for each of the following.
(i) 3 : 2
(ii) 1 : 6
(iii) 5 : 4