Basic Math Examples

Evaluate (|15-12|)/4-(|-21+9|)/8
Step 1
Subtract from .
Step 2
Simplify each term.
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Step 2.1
The absolute value is the distance between a number and zero. The distance between and is .
Step 2.2
Simplify the numerator.
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Step 2.2.1
Add and .
Step 2.2.2
The absolute value is the distance between a number and zero. The distance between and is .
Step 2.3
Cancel the common factor of and .
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Step 2.3.1
Factor out of .
Step 2.3.2
Cancel the common factors.
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Step 2.3.2.1
Factor out of .
Step 2.3.2.2
Cancel the common factor.
Step 2.3.2.3
Rewrite the expression.
Step 3
To write as a fraction with a common denominator, multiply by .
Step 4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 4.1
Multiply by .
Step 4.2
Multiply by .
Step 5
Combine the numerators over the common denominator.
Step 6
Simplify the numerator.
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Step 6.1
Multiply by .
Step 6.2
Subtract from .
Step 7
Move the negative in front of the fraction.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: