Basic Math Examples

Evaluate (42+8/15)-(22+13/15)
Step 1
Find the common denominator.
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Step 1.1
Write as a fraction with denominator .
Step 1.2
Multiply by .
Step 1.3
Multiply by .
Step 1.4
Write as a fraction with denominator .
Step 1.5
Multiply by .
Step 1.6
Multiply by .
Step 2
Combine the numerators over the common denominator.
Step 3
Simplify each term.
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Step 3.1
Multiply by .
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
Combine and .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify the numerator.
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Step 3.5.1
Multiply by .
Step 3.5.2
Add and .
Step 3.6
Cancel the common factor of .
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Step 3.6.1
Move the leading negative in into the numerator.
Step 3.6.2
Cancel the common factor.
Step 3.6.3
Rewrite the expression.
Step 4
Reduce the expression by cancelling the common factors.
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Step 4.1
Add and .
Step 4.2
Subtract from .
Step 4.3
Cancel the common factor of and .
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Step 4.3.1
Factor out of .
Step 4.3.2
Cancel the common factors.
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Step 4.3.2.1
Factor out of .
Step 4.3.2.2
Cancel the common factor.
Step 4.3.2.3
Rewrite the expression.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: