# Basic Math Formulas

The Basic Math Formula is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. The Basic Math Formulas includes various equations as the following:

• Average formulas
• Fraction formulas
• Percentage formulas
• Formula for proportion
• Geometry formulas
• Trigonometric formulas and more.

The Basic Math Formulas display how a math problem will work out with the help of some equations such as equation of force, accelerations or work done. More importantly, they are used to provide mathematical solutions for real world problems.

There are many types of equations, and they are found in many areas of mathematics. The techniques used to examine them differ according to their type. It can be as simple as a basic addition formula or complicated as an integration of differentiation.

Some of the Basic Math Formulas are given below:

$\large Adding Fractions: \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$

$\large Subtracting Fractions: \frac{a}{b} – \frac{c}{d} = \frac{ad – bc}{bd}$

$\large Multiplying Fractions: \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$

$\large Dividing Fractions: \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc}$

$\large Proportion Formula: \frac{a}{b} = \frac{c}{d} ; ad = bc$

In a proportion, the product of the extremes (ad) equal the product of the means(bc). Thus, ad = bc

Percent Formulas:

$\large Percent Formulas: x\% = \frac{x}{100}$

$\large Percentage Formula: \frac{Rate}{100} = \frac{Percentage}{base}$

Where,
Rate: The percent.
Base: The amount you are taking the percent of.
Percentage: The answer obtained by multiplying the base by the rate

## Solved Examples

Additing Fraction Example: Add the fractions $\frac{2}{5}$ and $\frac{6}{7}$
Solution:

$\frac{2}{5}$ + $\frac{6}{7}$
= $\frac{2 \times 7}{5 \times 7}$ + $\frac{5 \times 6}{7 \times 5}$
= $\frac{14}{35}$ + $\frac{30}{35}$= $\frac{44}{35}$

#### Practise This Question

If 3pq=113, where 3pq is a mixed fraction, then the value of pq is: