Basic Math Examples

Solve for c 5 1/2÷2 1/4=7 7/8÷c
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
To divide by a fraction, multiply by its reciprocal.
Step 1.1.4
Cancel the common factor of .
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Step 1.1.4.1
Factor out of .
Step 1.1.4.2
Cancel the common factor.
Step 1.1.4.3
Rewrite the expression.
Step 1.1.5
Combine and .
Step 1.1.6
Multiply by .
Step 2
Simplify the right side.
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Step 2.1
Simplify .
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Step 2.1.1
Convert to an improper fraction.
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Step 2.1.1.1
A mixed number is an addition of its whole and fractional parts.
Step 2.1.1.2
Add and .
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Step 2.1.1.2.1
To write as a fraction with a common denominator, multiply by .
Step 2.1.1.2.2
Combine and .
Step 2.1.1.2.3
Combine the numerators over the common denominator.
Step 2.1.1.2.4
Simplify the numerator.
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Step 2.1.1.2.4.1
Multiply by .
Step 2.1.1.2.4.2
Add and .
Step 2.1.2
Rewrite the division as a fraction.
Step 2.1.3
Multiply the numerator by the reciprocal of the denominator.
Step 2.1.4
Multiply by .
Step 3
Rewrite the equation as .
Step 4
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 5
Solve the equation for .
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Step 5.1
Rewrite the equation as .
Step 5.2
Simplify.
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Step 5.2.1
Multiply by .
Step 5.2.2
Multiply by .
Step 5.3
Divide each term in by and simplify.
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Step 5.3.1
Divide each term in by .
Step 5.3.2
Simplify the left side.
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Step 5.3.2.1
Cancel the common factor of .
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Step 5.3.2.1.1
Cancel the common factor.
Step 5.3.2.1.2
Divide by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: