Subtraction of Fractions
In mathematics, the subtraction of simple fractions is the operation inverse to the addition of fractions. Subtracting one fraction from another means finding such a third fraction that, when added to the second fraction, gives the first.
Subtraction of Fractions with the Same Denominators:
Definition: The difference of fractions with the same denominators is called a fraction whose numerator is equal to the difference of the numerators of the original fractions, with a denominator equal to the original.Formula
Let's solve an example:
Subtraction of Fractions with Different Denominators:
Definition: To find the difference of fractions with different denominators, you need to bring the fractions to a common denominator, then subtract the fractions as fractions with the same denominators.Let's calculate the example:
Solution process:
1) We bring the fractions to a common denominator, for this we find LCM - Least Common Multiple. For our fractions, this number is 30.
Divide the number 30 by our denominators and get the numbers 5 and 6, these are additional multipliers. Then multiply both the numerator and denominators of the fractions by the additional multipliers and get the expression:
2) Find the answer
Subtraction of Mixed Numbers:
Definition: To subtract mixed fractions you need to separately subtract the whole parts, and separately the fractional parts, and then combine the whole and fractional parts.Formula
Calculate the answer:
Get the answer:
