Basic Math Examples

Solve for t 3 1/3÷4 1/4=t÷5 1/5
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
Multiply .
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Step 1.1.4.1
Multiply by .
Step 1.1.4.2
Multiply by .
Step 1.1.4.3
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
To divide by a fraction, multiply by its reciprocal.
Step 2.1.3
Combine and .
Step 2.1.4
Move to the left of .
Step 3
Rewrite the equation as .
Step 4
Multiply both sides of the equation by .
Step 5
Simplify both sides of the equation.
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Step 5.1
Simplify the left side.
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Step 5.1.1
Simplify .
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Step 5.1.1.1
Cancel the common factor of .
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Step 5.1.1.1.1
Cancel the common factor.
Step 5.1.1.1.2
Rewrite the expression.
Step 5.1.1.2
Cancel the common factor of .
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Step 5.1.1.2.1
Factor out of .
Step 5.1.1.2.2
Cancel the common factor.
Step 5.1.1.2.3
Rewrite the expression.
Step 5.2
Simplify the right side.
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Step 5.2.1
Simplify .
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Step 5.2.1.1
Cancel the common factor of .
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Step 5.2.1.1.1
Factor out of .
Step 5.2.1.1.2
Cancel the common factor.
Step 5.2.1.1.3
Rewrite the expression.
Step 5.2.1.2
Combine and .
Step 5.2.1.3
Multiply by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: