Question

Select three ratios that are equivalent
to 7:6.
Choose 3 answers:
@ 12:14
©
21:18
42:36
© 63 : 54
84: 62​

Answer 1

Answer:

Option (b) 21:18, option(c) 42:36, option(d) 63:54, option(e) 84:62 are equivalent ratios of 7:6.

Step-by-step explanation:

Given: A ratio 7:6

To find: The equivalent ratio of 7:6

Solution: We will check all the given options by simplifying them to get equivalent ratio of 7:6.

Equivalent ratio: Two ratios that have the same value when we compare them. Equivalent ratios are obtained by multiplying or dividing the numerator and the denominator by same number.

(a) 12:14 = 12/14 =  $\frac{12/2}{14/2}$ = 6/7 = 6:7

12:14 is not equivalent to 7:6.

(b) 21:18

= $\frac{21}{18}$ = $\frac{21/3}{18/3}$ = $\frac{7}{6}$ = 7:6

21:18 is equivalent to 7:6

(c) 42:36

= $\frac{42}{36}$ = $\frac{42/6}{36/6}$ = $\frac{7}{6}$ = 7:6

42:36 is equivalent to 7:6

(d) 63:54

= $\frac{63}{54}$ = $\frac{63/9}{54/9}$ = $\frac{7}{6}$ = 7:6

63:54 is equivalent to 7:6

(e) 84:62

= $\frac{84}{62}$ = $\frac{84/2}{62/2}$ = $\frac{42}{31}$ = 42:31

84:62 is not equivalent to 7:6.

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