Basic Math Examples

Simplify 6-6/11(7 1/3)
6-611(713)
Step 1
Convert 713 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
6-611(7+13)
Step 1.2
Add 7 and 13.
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Step 1.2.1
To write 7 as a fraction with a common denominator, multiply by 33.
6-611(733+13)
Step 1.2.2
Combine 7 and 33.
6-611(733+13)
Step 1.2.3
Combine the numerators over the common denominator.
6-61173+13
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 7 by 3.
6-61121+13
Step 1.2.4.2
Add 21 and 1.
6-611223
6-611223
6-611223
6-611223
Step 2
Simplify each term.
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Step 2.1
Cancel the common factor of 3.
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Step 2.1.1
Move the leading negative in -611 into the numerator.
6+-611223
Step 2.1.2
Factor 3 out of -6.
6+3(-2)11223
Step 2.1.3
Cancel the common factor.
6+3-211223
Step 2.1.4
Rewrite the expression.
6+-21122
6+-21122
Step 2.2
Cancel the common factor of 11.
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Step 2.2.1
Factor 11 out of 22.
6+-211(11(2))
Step 2.2.2
Cancel the common factor.
6+-211(112)
Step 2.2.3
Rewrite the expression.
6-22
6-22
Step 2.3
Multiply -2 by 2.
6-4
6-4
Step 3
Subtract 4 from 6.
2
6-611(713)
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