Pre-Algebra Examples

Divide 7 1/2/(4 1/2-5 1/8)
Step 1
Convert to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.2
Add and .
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Step 1.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.2.2
Combine and .
Step 1.2.3
Combine the numerators over the common denominator.
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply by .
Step 1.2.4.2
Add and .
Step 2
Convert to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
Step 2.2
Add and .
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Step 2.2.1
To write as a fraction with a common denominator, multiply by .
Step 2.2.2
Combine and .
Step 2.2.3
Combine the numerators over the common denominator.
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply by .
Step 2.2.4.2
Add and .
Step 3
Convert to an improper fraction.
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Step 3.1
A mixed number is an addition of its whole and fractional parts.
Step 3.2
Add and .
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Step 3.2.1
To write as a fraction with a common denominator, multiply by .
Step 3.2.2
Combine and .
Step 3.2.3
Combine the numerators over the common denominator.
Step 3.2.4
Simplify the numerator.
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Step 3.2.4.1
Multiply by .
Step 3.2.4.2
Add and .
Step 4
Multiply the numerator by the reciprocal of the denominator.
Step 5
Simplify the denominator.
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Step 5.1
To write as a fraction with a common denominator, multiply by .
Step 5.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 5.2.1
Multiply by .
Step 5.2.2
Multiply by .
Step 5.3
Combine the numerators over the common denominator.
Step 5.4
Simplify the numerator.
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Step 5.4.1
Multiply by .
Step 5.4.2
Subtract from .
Step 5.5
Move the negative in front of the fraction.
Step 6
Cancel the common factor of and .
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Step 6.1
Rewrite as .
Step 6.2
Move the negative in front of the fraction.
Step 7
Multiply the numerator by the reciprocal of the denominator.
Step 8
Multiply by .
Step 9
Cancel the common factor of .
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Step 9.1
Move the leading negative in into the numerator.
Step 9.2
Factor out of .
Step 9.3
Cancel the common factor.
Step 9.4
Rewrite the expression.
Step 10
Cancel the common factor of .
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Step 10.1
Factor out of .
Step 10.2
Cancel the common factor.
Step 10.3
Rewrite the expression.
Step 11
Multiply by .