Basic Math Examples

Convert to a Simplified Fraction -2.48148148
Step 1
Create two equations where the only numbers to the right of the decimal place are the repeating part.
Step 2
Set up an equation with .
Step 3
Multiply both sides of by to create the second equation.
Step 4
Subtract from to remove the repeating part.
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Cancel the common factor of and .
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Step 5.3.1.1
Factor out of .
Step 5.3.1.2
Cancel the common factors.
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Step 5.3.1.2.1
Factor out of .
Step 5.3.1.2.2
Cancel the common factor.
Step 5.3.1.2.3
Rewrite the expression.
Step 6
Write as a mixed number by taking the whole number part along with the solution to the equation.
Step 7
Convert to an improper fraction.
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Step 7.1
A mixed number is an addition of its whole and fractional parts.
Step 7.2
Add and .
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Step 7.2.1
To write as a fraction with a common denominator, multiply by .
Step 7.2.2
Combine and .
Step 7.2.3
Combine the numerators over the common denominator.
Step 7.2.4
Simplify the numerator.
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Step 7.2.4.1
Multiply by .
Step 7.2.4.2
Add and .