Basic Math Examples

Solve for y 99 77/99-y=1/2
Step 1
Simplify the left side.
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Step 1.1
Simplify .
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Step 1.1.1
Convert to an improper fraction.
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Step 1.1.1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.1.1.2
Add and .
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Step 1.1.1.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.1.1.2.2
Combine and .
Step 1.1.1.2.3
Combine the numerators over the common denominator.
Step 1.1.1.2.4
Simplify the numerator.
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Step 1.1.1.2.4.1
Multiply by .
Step 1.1.1.2.4.2
Add and .
Step 1.1.2
Cancel the common factor of and .
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Step 1.1.2.1
Factor out of .
Step 1.1.2.2
Cancel the common factors.
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Step 1.1.2.2.1
Factor out of .
Step 1.1.2.2.2
Cancel the common factor.
Step 1.1.2.2.3
Rewrite the expression.
Step 2
Move all terms not containing to the right side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
To write as a fraction with a common denominator, multiply by .
Step 2.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.4.1
Multiply by .
Step 2.4.2
Multiply by .
Step 2.4.3
Multiply by .
Step 2.4.4
Multiply by .
Step 2.5
Combine the numerators over the common denominator.
Step 2.6
Simplify the numerator.
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Step 2.6.1
Multiply by .
Step 2.6.2
Subtract from .
Step 2.7
Move the negative in front of the fraction.
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Dividing two negative values results in a positive value.
Step 3.2.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Dividing two negative values results in a positive value.
Step 3.3.2
Divide by .
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: