12 people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then by what fraction the share of each of the remaining persons share is increased?

Simplification is the process of replacing a mathematical expression with a simpler, equivalent one. Simplifying an expression involves writing it in its simplest form, without any more adding, subtracting, multiplying, or dividing. For example, the expression 4 + 6 + 5 can be simplified to 15.    Simplification can involve: Algebraic expressions, Boolean expressions, Fractions, Conjunction elimination.  Simplification can help to: Reduce a fraction by canceling it to the lowest common factor (LCM) for both the numerator and the denominator to its lowest term Reduce an algebraic... Show more

Simplification is the process of replacing a mathematical expression with a simpler, equivalent one. Simplifying an expression involves writing it in its simplest form, without any more adding, subtracting, multiplying, or dividing. For example, the expression 4 + 6 + 5 can be simplified to 15. 
 

Simplification can involve: Algebraic expressions, Boolean expressions, Fractions, Conjunction elimination. 

Simplification can help to:
Reduce a fraction by canceling it to the lowest common factor (LCM) for both the numerator and the denominator to its lowest term
Reduce an algebraic expression by grouping and combining similar terms
Make an algebraic equation easy to understand 

When simplifying an algebraic expression, you should follow the order of operations:
Parentheses
Exponents
Multiplication and division
Addition and subtraction 

Some important techniques of simplification include:
Digital sum
Number system
Reciprocals
HCF & LCM
Percentages
Square & Cube 

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