1. Adding Mixed Numbers
Convert the mixed numbers into fractions.
Use the algebraic formula for addition of fractions: a/b + c/d = (ad + bc) / bd.
For example, add 1 2/6 and 2 1/4.
1 2/6 + 2 1/4 = 8/6 + 9/4 = (8*4 + 9*6) / 6*4 = 86 / 24.
Reduce fractions so we get 43/12 and simplifying 3 7/12.
Subtracting Mixed Numbers
Convert the mixed numbers into fractions.
Use the algebraic formula for subtraction of fractions: a/b - c/d = (ad - bc) / bd.
For example, subtract 2 1/4 from 1 2/6.
1 2/6 - 2 1/4 = 8/6 + 9/4 = (8*4 - 9*6) / 6*4 = -22 / 24.
Reduce fractions so we get -11/12.
Multiplying Mixed Numbers
Convert the mixed numbers into fractions.
Use the algebraic formula for multiplying of fractions: a/b * c/d = ac / bd.
For example, multiply 1 2/6 by 2 1/4.
1 2/6 * 2 1/4 = 8/6 * 9/4 = 8*9 / 6*4 = 72 / 24.
Reduce fractions so we get 3/1 and simplifying 3.
Dividing Mixed Numbers
Convert the mixed numbers into fractions.
Use the algebraic formula for division of fractions: a/b ÷ c/d = ad / bc.
For example, divide 1 2/6 by 2 1/4.
1 2/6 ÷ 2 1/4 = 8/6 ÷ 9/4 = 8*4 / 9*6 = 32 / 54.
Reduce fractions so we get 16/27.