Basic Math Examples

Simplify (1/4-3/2)/(6/5-5/3)
Step 1
Multiply the numerator and denominator of the fraction by .
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Step 1.1
Multiply by .
Step 1.2
Combine.
Step 2
Apply the distributive property.
Step 3
Simplify by cancelling.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Factor out of .
Step 3.1.2
Cancel the common factor.
Step 3.1.3
Rewrite the expression.
Step 3.2
Cancel the common factor of .
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Step 3.2.1
Move the leading negative in into the numerator.
Step 3.2.2
Factor out of .
Step 3.2.3
Cancel the common factor.
Step 3.2.4
Rewrite the expression.
Step 3.3
Multiply by .
Step 3.4
Cancel the common factor of .
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Step 3.4.1
Factor out of .
Step 3.4.2
Cancel the common factor.
Step 3.4.3
Rewrite the expression.
Step 3.5
Multiply by .
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
Factor out of .
Step 3.6.3
Cancel the common factor.
Step 3.6.4
Rewrite the expression.
Step 3.7
Multiply by .
Step 4
Reduce the expression by cancelling the common factors.
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Step 4.1
Subtract from .
Step 4.2
Subtract from .
Step 4.3
Dividing two negative values results in a positive value.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: