Question

Which statement is correct?

Answer 1

Answer:

Option 3 is correct

tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

Step-by-step explanation:

1.$\frac{1 in}{2.54 cm}=\frac{7 in}{17.68 cm}$

1 in=2.54 cm

$7 in=2.54\times 7=17.78 cm$

$\frac{1 in}{2.54 cm}=\frac{1 in}{1 in}=1$

$\frac{1 in}{2.54 cm}\neq \frac{7 in}{17.68 cm}$

Hence, it is not correct.

2.$\frac{1 ft}{12 in}=\frac{7ft}{74 in}$

1 foot=1 2in

$7ft=7\times 12=84 foot$

$\frac{1 ft}{12 in}=1$

$\frac{7ft}{74 in}\neq 1$

$\implies \frac{1 ft}{12 in}\neq \frac{7ft}{74 in}$

Hence, it is not correct.

3.$\frac{1yd}{36 in}=\frac{7yd}{252 in}$

1 yd=36 in

$\frac{1yd}{36 in}=\frac{36}{36}=1$

$7yd=7\times 36=252 in$

$\frac{7yd}{252 in}=\frac{252 in}{252 in}=1$

$\implies \frac{1yd}{36 in}=\frac{7yd}{252 in}$

Hence, it is correct.

4.$\frac{1 m}{3.28ft}=\frac{7m}{22.86ft}$

1 m=3.28 ft

$\frac{1 m}{3.28ft}=\frac{3.28}{3.28}=1$

$7m=7\times 3.28=22.96 ft$

$\frac{7m}{22.86ft}\neq 1$

$\frac{1 m}{3.28ft}\neq \frac{7m}{22.86ft}$

Hence, option is not correct.