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Q.

Find the ratio of 5m and 1500cm.


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a

https://lh4.googleusercontent.com/NhqgxTQC4SizoTWidmBC8veLKbW80T4Rh4y5sHYrVohnvgy5LMdkUzv8Ss78X-C3ifKuoifitCxEiF25jRAFwc-vNcGi01mslOUB0EvlS0slrNTHcSARmerqNpxGgrZVTtDXHpnB5XGNuqBBZeH8Mw

b

https://lh6.googleusercontent.com/hSmeuFJwggNHrKEZEE9fEVg2Ry8JnCHi_JyjnUqr3HWsaCqt3Q31pWWyzIkCwvCDrFC-dNkqwhHd8m_KXzYus4oA946Hn9V33n1ywwUYVuvZUR6YJbhsTwxJPFNvG6KnbpVuU4rTUnRMCOJAJDQVGw

c

https://lh3.googleusercontent.com/Xx_Vr54XmzFFN74M172Sd_j7fvc25HS-The4ZVCcDTOHZ3Lr-aqWeyWSleN1m8WV2u4nluy-NOQ5Qwg6tP-Nyej2Ambnt3tgYOtpjO2w0JLu8tcLG7YmtruLqU0RvP4ddW6M1gZqgnBpunK-P1qtXQ

d

https://lh6.googleusercontent.com/QfVl9lYyOC1MQmUy1xwO15Xw9xofIKx6Xq7iS3eD22Z1NfhvltNxMkblQzGbIBUhNgd8qGB7T_SgFRCYaggk_knWOhpe0X2fBC1Q7rEnuoj2gOxphEZBK2IsUHHWZQbiYMBKG8uT2O0hhxbJxJWemA

answer is A.

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Detailed Solution

Concept- Ratios are used to compare when the values in the numerator and denominator are of the same type and in the same units. The ratio is always without units. The given two values are 5 meters (m) and 1500 centimeters (cm) .
Let A = Let A and B=https://lh4.googleusercontent.com/uuhym5UceZkJLENptxfsEpTaYbS9Uu-5cw7CW7cfbBbvCkXjwSQSHF3d-yip_BHHQ6TfcjOe3q2I-bO5HrUj16oVWvJlqt7CSy2rwHufOJKK17e9Yr23_dJ0_Gz9qgULK8BgaUtZ1PFEICT0-e35Nw, We see that the given values are in different units and we have to convert them into the same units. We know that https://lh3.googleusercontent.com/FfYdrk-6BfyAwh4duenjCB0iNgnGwIDR_Y-O9ml2AOA0Gm_Telh7kXXaQcgCut8lmoT_gZMuBPXoRTltwgVqJx2a2ANPgdAVuAUtXwT3A4InlvAeIRL7iKTbOtSPxcGvfeIu4iy7TKfzpSAWK6vl3whttps://lh5.googleusercontent.com/OHi5KRahm6bFYB2R1kpe417FZLuHZ5BfpIHhLKMZttFZfKuKQ-et7NIuRszZuS8i6x9dG5-u48WVafJwxP1Dgb-xhiymqlkGYFC1CXP5kUTeUISgn2KyNZrTfTFM8jZq1SThl_6JM_2aowAh25_c1gm
We have https://lh5.googleusercontent.com/FgVP_7vOuZIn6mUV7qKkndd8zRB1qu0WGYset1fqDvkdJKHhNNwhoqZWpYAdhK7VhSuOQQ30w4wwfqqsY936lmd7xgU5wq82Ov25MMa-3-LejyZA45_F_UbsaX7D8x4ungktTDEomaI7vQShSziZig Now we have
https://lh6.googleusercontent.com/QbYhFmUNpDr6biQlInKDIDeExgWdi1--neIiY8Gy-t5WxVbvl6dc8qS3bdGCq8FJr_EFTBz0RzT4gQMTyTuJTwrnoGlXDPA9DS5Wgn-TKEXJgH7EPkKMZYlVt53LXPPWtwQlFQGbWMydCFAqNJL9KQThe greatest common divisor(GCD) of 5 and https://lh3.googleusercontent.com/71EMb3FThg5o-q_-IXpohLwYmLbWTZLnX-LHikLObq5MRj3u25tT1t7SZ04BRZDrLfBK1VIeXdBw92v6mtJMQGniiHjJLiEzqa5_IJc5BscJVtVZFymQMMVVYQHlw78g2RIi0H8QzOq6S4PfdKjudg is 5 Let us divide the GCD 5 in numerator and denominator to get the ratio. Then we get,
https://lh4.googleusercontent.com/oHs6_26BJ9cLKZKZIZHTPZ3xfAN9WNjeSe-G7cRDxjWdLelayUjYHcmQ_WhEwqQM6_3g0Ft6BpT46f_F0ZY1LqBAY1F3ZaVyx22pXvT4AAON_pdZ0iwgcHsPLGq8UGiHEZbu9ybmPA8WdZ_Mgz66kQHence, the correct answer is 1) https://lh4.googleusercontent.com/NhqgxTQC4SizoTWidmBC8veLKbW80T4Rh4y5sHYrVohnvgy5LMdkUzv8Ss78X-C3ifKuoifitCxEiF25jRAFwc-vNcGi01mslOUB0EvlS0slrNTHcSARmerqNpxGgrZVTtDXHpnB5XGNuqBBZeH8Mw 
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Find the ratio of 5m and 1500cm.