How to Divide Mixed Numbers by Whole Numbers | Dividing Mixed Numbers | MathOGuide 

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How to Divide Mixed Numbers by Whole Numbers | Dividing Mixed Numbers | MathOGuide
Dividing mixed numbers by whole numbers involves a few steps to simplify the process. Here's a step-by-step guide:
Step No 1. Convert the Mixed Number to an Improper Fraction
A mixed number is made up of a whole number and a fraction. Convert it to an improper fraction by multiplying the whole number by the denominator and then adding the numerator. Place the result over the original denominator.
**Example**:
Convert ( 2 whole 3/4) to an improper fraction.
2 whole 3/4 = {2 * 4 + 3}/{4}
= {8 + 3}/{4}
= 11/4
Step 2. Rewrite the Division Problem
Rewrite the division problem with the improper fraction from step 1 and the whole number.
**Example**:
(11/4) ÷ 3
Step 3.
Convert the Division to Multiplication by the Reciprocal
Division by a whole number is the same as multiplying by the reciprocal of that whole number.
The reciprocal of a whole number ( n) is (1/n).
**Example**:
(11/4) ÷ 3 becomes
{11/4} * {1/3}
Step 4. Multiply the Fractions
Multiply the numerators together and the denominators together.
**Example**:
(11/4) * (1/3)
= {11* 1}/{4 * 3}
= 11/12
Step 5. Simplify the Result (if needed)
If the fraction can be simplified, do so.
In this case, (11/12) is already in its simplest form.
Step 6. Convert Back to a Mixed Number (if required)
If your final answer is an improper fraction and a mixed number is required, convert it back by dividing the numerator by the denominator to get the whole number part, and the remainder becomes the numerator of the fractional part.
**Example**:
If the result were (17/4),
convert it back to ( 4 whole 1/4).
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