User:
• Matrices
• Algebra
• Geometry
• Funciones
• Trigonometry
• Coordinate geometry
• Combinatorics
 Suma y resta Producto por escalar Producto Inversa
 Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equations Matrices Determinants Inverse of a matrix Logarithmic equations Systems of 3 variables equations
 2-D Shapes Areas Pythagorean Theorem Distances
 Graphs Definition of slope Positive or negative slope Determine slope of a line Ecuación de una recta Equation of a line (from graph) Quadratic function Posición relativa de dos rectas Asymptotes Limits Distancias Continuity and discontinuities
 Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric identities Law of cosines Law of sines
 Ecuación de una recta Posición relativa de dos rectas Distancias Angles in space Inner product

Fractions and mixed numbers

Divide mixed numbers

To divide mixed numbers:

1. Write mixed numbers as improper fractions.
2. Multiply by the reciprocal of the divisor.

Divide $2\frac{1}{3}\div1\frac{2}{3}\;$. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Write $2\frac{1}{3}\;$ as an improper fraction:

$2\frac{1}{3}=\frac{(2\cdot3)+1}{3}=\frac{7}{3}$

Write $1\frac{2}{3}\;$ as an improper fraction:

$1\frac{2}{3}=\frac{(1\cdot3)+2}{3}=\frac{5}{3}$

Turn this from a division problem into a multiplication problem by multiplying by the reciprocal.

$2\frac{1}{3}\div1\frac{2}{3}=\frac{7}{3}\div\frac{5}{3}$

$=\frac{7}{3}\cdot\frac{3}{5}$

Cancel common factors, then multiply.

$\frac{7}{3}\cdot\frac{3}{5}=\frac{7}{1}\cdot\frac{1}{5}$

$\frac{7\cdot1}{1\cdot5}=\frac{7}{5}$

$\frac{7}{5}=1\frac{2}{5}$
Divide 1$\frac{5}{9}\div{4}\frac{3}{2}$