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Dividing Mixed Numbers

Dividing mixed numbers is similar to dividing fractions, except that there is an additional step.

To Divide Mixed Numbers

  • change the mixed numbers to their equivalent improper fractions,
  • follow the steps for dividing fractions, and
  • simplify the answer.

EXAMPLE 1

Find .

Solution

EXAMPLE 2

What is ?

Solution

EXAMPLE 3

There are yards of silk in a roll. If it takes yards to make one designer tie, how many ties can be made from the roll?

Solution

The question is: How many ’s fit into . It tells us that we must divide.

So 9 ties can be made from the roll of silk.

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Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

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Step 3 : Ask for an explanation for the steps you don't understand:

Algebra Buster can solve problems in these areas...

simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values) 
factoring and expanding expressions 
finding LCM and GCF 
basic step-by-step arithmetics operations (adding, subtracting, multiplying and dividing) 
operations with complex numbers (simplifying, rationalizing complex denominators...) 
solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations) 
solving a system of two and three linear equations (including Cramer's rule) 
graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions) 
graphing general functions 
operations with functions (composition, inverse, range, domain...) 
simplifying logarithms 
sequences (classifying progressions, find the nth term of an arithmetic progression...) 
basic geometry and trigonometry (similarity, calculating trig functions, right triangle...) 
arithmetic and other pre-algebra topics (ratios, proportions, measurements...)
linear algebra (operations with matrices, inverse matrix, determinants...)
statistics (mean, median, mode, range...)
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