Algebra Examples

Simplify (2 4/9-5 2/3)/2 1/3
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
To write as a fraction with a common denominator, multiply by .
Step 2.2.2
Combine and .
Step 2.2.3
Combine the numerators over the common denominator.
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply by .
Step 2.2.4.2
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
Multiply the numerator by the reciprocal of the denominator.
Step 5
To write as a fraction with a common denominator, multiply by .
Step 6
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 6.1
Multiply by .
Step 6.2
Multiply by .
Step 7
Combine the numerators over the common denominator.
Step 8
Simplify the numerator.
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Step 8.1
Multiply by .
Step 8.2
Subtract from .
Step 9
Cancel the common factor of .
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Step 9.1
Factor out of .
Step 9.2
Cancel the common factor.
Step 9.3
Rewrite the expression.
Step 10
Multiply by .
Step 11
Simplify the expression.
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Step 11.1
Multiply by .
Step 11.2
Move the negative in front of the fraction.
Step 12
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: