Basic Math Examples

Evaluate 4 1/2-3 1/4+(6 1/5-5 1/6)
Step 1
Remove parentheses.
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
Convert to an improper fraction.
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Step 4.1
A mixed number is an addition of its whole and fractional parts.
Step 4.2
Add and .
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Step 4.2.1
To write as a fraction with a common denominator, multiply by .
Step 4.2.2
Combine and .
Step 4.2.3
Combine the numerators over the common denominator.
Step 4.2.4
Simplify the numerator.
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Step 4.2.4.1
Multiply by .
Step 4.2.4.2
Add and .
Step 5
Convert to an improper fraction.
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Step 5.1
A mixed number is an addition of its whole and fractional parts.
Step 5.2
Add and .
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Step 5.2.1
To write as a fraction with a common denominator, multiply by .
Step 5.2.2
Combine and .
Step 5.2.3
Combine the numerators over the common denominator.
Step 5.2.4
Simplify the numerator.
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Step 5.2.4.1
Multiply by .
Step 5.2.4.2
Add and .
Step 6
Find the common denominator.
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Step 6.1
Multiply by .
Step 6.2
Multiply by .
Step 6.3
Multiply by .
Step 6.4
Multiply by .
Step 6.5
Multiply by .
Step 6.6
Multiply by .
Step 6.7
Multiply by .
Step 6.8
Multiply by .
Step 6.9
Multiply by .
Step 6.10
Multiply by .
Step 6.11
Multiply by .
Step 6.12
Multiply by .
Step 7
Combine the numerators over the common denominator.
Step 8
Simplify each term.
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Step 8.1
Multiply by .
Step 8.2
Multiply by .
Step 8.3
Multiply by .
Step 8.4
Multiply by .
Step 9
Simplify by adding and subtracting.
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Step 9.1
Subtract from .
Step 9.2
Add and .
Step 9.3
Subtract from .
Step 10
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: