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Formula For Adding Fractions

About Formula For Adding Fractions

Let us review what fractions are before understanding the formula for adding fractions. Fractions are defined as pieces of a whole in mathematics. A fraction is a piece or section of a whole that can be any number, a specified value, or an item. 1/2, 3/7, 4/5, 6/6, and so on are examples. Different types of fractions exist based on their shape. These are the

  1. Proper Fraction
  2. Improper Fraction
  3. Unit Fraction
  4. Mixed Fraction
  5. Equivalent Fractions
  6. Like Fractions, and
  7. Unlike Fractions.

What Is the Fraction Adding Formula?

In each of the following circumstances, the formulas for adding fractions differ: adding fractions with whole numbers, adding fractions with like denominators, adding fractions with different denominators, and adding fractions with variables. These are the formulas:
Adding fractions with whole numbers (a+b/c) = [(a×c)+b]/c
Adding fractions with like denominators (a/b+d/b) = (a+d)/b
Adding fractions with different denominators (a/b+c/d) = (a×d+b×c)/(b×d)
Adding fractions with variables (a/b)x+(c/b)x=(a/b+c/b)x = [(a+c)/b]x
Where, a, b, c, and, d are constants and x is a variable.

Example:3/2 and 5 are added using the fractions formula.

Sol: we have to find addition of 3/2 and 5.
Since we have (a+bc) (a+bc) = (a×c) + bc(a×c) + bc
Adding Fractions = [(2×5) + 3]/2
= (10+3)/2 = 13/2

Find the pdf. of Fraction adding formulas