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# How to Solve Equations with Rational Numbers?

TopSolving Rational Numbers is very easy task, but sometimes you get confused that how to solve Equations with Rational Numbers. Rational numbers are always in form of p/q, and dealing with them is very simple. Many students ask How to Solve Equations with rational number; here I will explain you the way of solving rational problems. When you have to add two numbers we can simply add them, but when we have to add rational number, we have to follow a Set of rules given as:
1.Find lcm(least common multiple) of denominators in given equation.
2. Find equivalent fraction form.

Let’s see how to apply these rules, suppose we have an equation:

x/2 + y/4 =?
First of all take LCM of denominator i.e. 2 and 4, then we simplify numerator,
(2x + y)/4 this is final result of equation which have addition.

If you have to perform subtraction operation on rational number,
1. Find LCM of denominators in equation.
2. Find equivalent fraction form.
3. Subtract numerators.
4. Find results.
Like we have an equation -

p/12 - q/24 = ?

First of all we take l c m of 12 and 24 and we get 24 and then we simplify numerator.
(2p - q)/24 after subtracting q by 2p , we get final result of equation .
Multiplication on rational number ; We use these steps to solve multiplication operation on rational number-
1.Multiply the numerators.
2. Multiply the denominators.
3. Finally we get result.
Like we have an equation a/2 * b/4 = ?
then first of all we multiply numerator with numerator then we multiply denominator with denominator and finally we get result- ab/8

Division of rational numbers; we use following steps to perform divisibility on rational numbers-
1.Change fractions on second rational number like numerator is replace by denominator and denominator of second rational number is replace by numerator.
2. Change the sign with * means division is replace by multiplication.
3. Perform multiplication task on equation.
4. Find result of equation.
Like we have equation- 2/12 % 8/24 = ?
first of all we change second rational number as 24
then change sign with multiply ( * ) and perform task-
2/12 * 24/8 = ½ finally we get result ½.