Pre-Algebra Examples

Evaluate 7 5/9-(-2 2/9)-1 7/9
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
Write as a fraction with a common denominator.
Step 3.2.2
Combine the numerators over the common denominator.
Step 3.2.3
Add and .
Step 4
Combine the numerators over the common denominator.
Step 5
Subtract from .
Step 6
Multiply .
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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 expression.
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Step 8.1
Add and .
Step 8.2
Divide by .