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**Introduction**

**RATIO: The ratio of two quantities of the same kind and in the units is a fraction that shows how many times the one quantity is of the other.**

**RATIO IN THE SIMPLEST FORM: A ratio `a : b` is said to be in the simplest form if its antecedent a and consequent b have no common factor other than 1.**

**In a ratio we compare two quantities. The comparison meaningless if the quantities being compared are not of the same kind.**

**RATIO: The ratio of two quantities of the same kind and in the units is a fraction that shows how many times the one quantity is of the other.**

**The order of the terms in a ratio `a : b` is very important. The ratio `3 : 2` is different from the ratio `2 : 3`.**

**Divide 108 in two parts in the ratio `4 : 5`.**

**If `(4x+5) : (3x+11) = 13 : 17` find the value of `x`.**

**Comparison of ratios**

**EQUIVALENT RATIOS A ratio obtained by multiplying or dividing the numerator and denominator of a given ratio by the same number is called an equivalent ratio.**