Basic Math Examples

Solve for y 0=-8(1/18)+12(5/18)+y(2/3)
Step 1
Rewrite the equation as .
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Cancel the common factor of .
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Step 2.1.1.1
Factor out of .
Step 2.1.1.2
Factor out of .
Step 2.1.1.3
Cancel the common factor.
Step 2.1.1.4
Rewrite the expression.
Step 2.1.2
Combine and .
Step 2.1.3
Move the negative in front of the fraction.
Step 2.1.4
Cancel the common factor of .
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Step 2.1.4.1
Factor out of .
Step 2.1.4.2
Factor out of .
Step 2.1.4.3
Cancel the common factor.
Step 2.1.4.4
Rewrite the expression.
Step 2.1.5
Combine and .
Step 2.1.6
Multiply by .
Step 2.1.7
Combine and .
Step 2.1.8
Move to the left of .
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.3.1
Multiply by .
Step 2.3.2
Multiply by .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Add and .
Step 3
Subtract from both sides of the equation.
Step 4
Multiply both sides of the equation by .
Step 5
Simplify both sides of the equation.
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Step 5.1
Simplify the left side.
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Step 5.1.1
Simplify .
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Step 5.1.1.1
Cancel the common factor of .
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Step 5.1.1.1.1
Cancel the common factor.
Step 5.1.1.1.2
Rewrite the expression.
Step 5.1.1.2
Cancel the common factor of .
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Step 5.1.1.2.1
Factor out of .
Step 5.1.1.2.2
Cancel the common factor.
Step 5.1.1.2.3
Rewrite the expression.
Step 5.2
Simplify the right side.
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Step 5.2.1
Simplify .
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Step 5.2.1.1
Cancel the common factor of .
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Step 5.2.1.1.1
Move the leading negative in into the numerator.
Step 5.2.1.1.2
Factor out of .
Step 5.2.1.1.3
Cancel the common factor.
Step 5.2.1.1.4
Rewrite the expression.
Step 5.2.1.2
Cancel the common factor of .
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Step 5.2.1.2.1
Factor out of .
Step 5.2.1.2.2
Cancel the common factor.
Step 5.2.1.2.3
Rewrite the expression.
Step 5.2.1.3
Move the negative in front of the fraction.
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: