Basic Math Examples

Simplify 4 1/2÷1 1/4-5 1/2
Step 1
Convert to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.2
Add and .
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Step 1.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.2.2
Combine and .
Step 1.2.3
Combine the numerators over the common denominator.
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply by .
Step 1.2.4.2
Add and .
Step 2
Convert to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
Step 2.2
Add and .
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Step 2.2.1
Write as a fraction with a common denominator.
Step 2.2.2
Combine the numerators over the common denominator.
Step 2.2.3
Add and .
Step 3
Convert to an improper fraction.
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Step 3.1
A mixed number is an addition of its whole and fractional parts.
Step 3.2
Add and .
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Step 3.2.1
To write as a fraction with a common denominator, multiply by .
Step 3.2.2
Combine and .
Step 3.2.3
Combine the numerators over the common denominator.
Step 3.2.4
Simplify the numerator.
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Step 3.2.4.1
Multiply by .
Step 3.2.4.2
Add and .
Step 4
Simplify each term.
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Step 4.1
To divide by a fraction, multiply by its reciprocal.
Step 4.2
Cancel the common factor of .
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Step 4.2.1
Factor out of .
Step 4.2.2
Cancel the common factor.
Step 4.2.3
Rewrite the expression.
Step 4.3
Combine and .
Step 4.4
Multiply by .
Step 5
To write as a fraction with a common denominator, multiply by .
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 7.1
Multiply by .
Step 7.2
Multiply by .
Step 7.3
Multiply by .
Step 7.4
Multiply by .
Step 8
Combine the numerators over the common denominator.
Step 9
Simplify the numerator.
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Step 9.1
Multiply by .
Step 9.2
Multiply by .
Step 9.3
Subtract from .
Step 10
Move the negative in front of the fraction.
Step 11
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: