Basic Math Examples

Simplify 6 3/7+2 2/5-11
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
Find the common denominator.
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Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 3.3
Multiply by .
Step 3.4
Multiply by .
Step 3.5
Write as a fraction with denominator .
Step 3.6
Multiply by .
Step 3.7
Multiply by .
Step 3.8
Reorder the factors of .
Step 3.9
Multiply by .
Step 3.10
Multiply by .
Step 4
Combine the numerators over the common denominator.
Step 5
Simplify each term.
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Step 5.1
Multiply by .
Step 5.2
Multiply by .
Step 5.3
Multiply by .
Step 6
Simplify the expression.
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Step 6.1
Add and .
Step 6.2
Subtract from .
Step 6.3
Move the negative in front of the fraction.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: