1) Let a:b>c:d and c:d be two ratios. Then,

*i*) a:b > c:d, if ad>bc,

*ii*) a:b

*iii*) a:b = c:d, if ad=bc

2) A ratio a:b is called a ratio of

*i*) greater inequality ifa>b,

*ii*) less inequality if a < b

*iii*) equality if a=b

3) If the same positive quantity is added to both the terms of a ratio of greater inequality, then the ratio is decreased.

4) If the same positive quantity is added to both the terms of a ratio of less inequality, then the ratio is decreased.

5) If the same positive quantity is subtracted to both the terms of a ratio of greater inequality, then the ratio is increased.

6) If the same positive quantity is added to both the terms of a ratio of greater inequality, then the ratio is increased.Labels: Algebra, Arithmetic

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