Basic Math Examples

Solve for n 8 3/4+n+2 3/8+4 1/2=23 1/8
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
Convert to an improper fraction.
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Step 1.1.2.1
A mixed number is an addition of its whole and fractional parts.
Step 1.1.2.2
Add and .
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Step 1.1.2.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.1.2.2.2
Combine and .
Step 1.1.2.2.3
Combine the numerators over the common denominator.
Step 1.1.2.2.4
Simplify the numerator.
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Step 1.1.2.2.4.1
Multiply by .
Step 1.1.2.2.4.2
Add and .
Step 1.1.3
Convert to an improper fraction.
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Step 1.1.3.1
A mixed number is an addition of its whole and fractional parts.
Step 1.1.3.2
Add and .
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Step 1.1.3.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.1.3.2.2
Combine and .
Step 1.1.3.2.3
Combine the numerators over the common denominator.
Step 1.1.3.2.4
Simplify the numerator.
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Step 1.1.3.2.4.1
Multiply by .
Step 1.1.3.2.4.2
Add and .
Step 1.1.4
To write as a fraction with a common denominator, multiply by .
Step 1.1.5
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.1.5.1
Multiply by .
Step 1.1.5.2
Multiply by .
Step 1.1.6
Combine the numerators over the common denominator.
Step 1.1.7
Simplify the numerator.
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Step 1.1.7.1
Multiply by .
Step 1.1.7.2
Add and .
Step 1.1.8
To write as a fraction with a common denominator, multiply by .
Step 1.1.9
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.1.9.1
Multiply by .
Step 1.1.9.2
Multiply by .
Step 1.1.10
Combine the numerators over the common denominator.
Step 1.1.11
Simplify the numerator.
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Step 1.1.11.1
Multiply by .
Step 1.1.11.2
Add and .
Step 2
Simplify the right side.
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Step 2.1
Convert to an improper fraction.
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Step 2.1.1
A mixed number is an addition of its whole and fractional parts.
Step 2.1.2
Add and .
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Step 2.1.2.1
To write as a fraction with a common denominator, multiply by .
Step 2.1.2.2
Combine and .
Step 2.1.2.3
Combine the numerators over the common denominator.
Step 2.1.2.4
Simplify the numerator.
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Step 2.1.2.4.1
Multiply by .
Step 2.1.2.4.2
Add and .
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Combine the numerators over the common denominator.
Step 3.3
Subtract from .
Step 3.4
Cancel the common factor of and .
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Step 3.4.1
Factor out of .
Step 3.4.2
Cancel the common factors.
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Step 3.4.2.1
Factor out of .
Step 3.4.2.2
Cancel the common factor.
Step 3.4.2.3
Rewrite the expression.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: