Pre-Algebra Examples

Evaluate 2 3/32+1 31/32+2 21/32÷3
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
Write as a fraction with a common denominator.
Step 2.2.2
Combine the numerators over the common denominator.
Step 2.2.3
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
Combine fractions.
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Step 4.1
Combine the numerators over the common denominator.
Step 4.2
Add and .
Step 5
Simplify each term.
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Step 5.1
Cancel the common factor of and .
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Step 5.1.1
Factor out of .
Step 5.1.2
Cancel the common factors.
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Step 5.1.2.1
Factor out of .
Step 5.1.2.2
Cancel the common factor.
Step 5.1.2.3
Rewrite the expression.
Step 5.2
Multiply the numerator by the reciprocal of the denominator.
Step 5.3
Multiply .
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Step 5.3.1
Multiply by .
Step 5.3.2
Multiply by .
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 7.1
Multiply by .
Step 7.2
Multiply by .
Step 8
Combine the numerators over the common denominator.
Step 9
Simplify the numerator.
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Step 9.1
Multiply by .
Step 9.2
Add and .
Step 10
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: