Basic Math Examples

Simplify ((-2 1/4)÷3 1/2)÷(-9/224)
-214÷312÷(-9224)
Step 1
Convert 214 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
-(2+14)÷312÷(-9224)
Step 1.2
Add 2 and 14.
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Step 1.2.1
To write 2 as a fraction with a common denominator, multiply by 44.
-(244+14)÷312÷(-9224)
Step 1.2.2
Combine 2 and 44.
-(244+14)÷312÷(-9224)
Step 1.2.3
Combine the numerators over the common denominator.
-24+14÷312÷(-9224)
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 2 by 4.
-8+14÷312÷(-9224)
Step 1.2.4.2
Add 8 and 1.
-94÷312÷(-9224)
-94÷312÷(-9224)
-94÷312÷(-9224)
-94÷312÷(-9224)
Step 2
Convert 312 to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
-94÷(3+12)÷(-9224)
Step 2.2
Add 3 and 12.
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Step 2.2.1
To write 3 as a fraction with a common denominator, multiply by 22.
-94÷(322+12)÷(-9224)
Step 2.2.2
Combine 3 and 22.
-94÷(322+12)÷(-9224)
Step 2.2.3
Combine the numerators over the common denominator.
-94÷32+12÷(-9224)
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply 3 by 2.
-94÷6+12÷(-9224)
Step 2.2.4.2
Add 6 and 1.
-94÷72÷(-9224)
-94÷72÷(-9224)
-94÷72÷(-9224)
-94÷72÷(-9224)
Step 3
To divide by a fraction, multiply by its reciprocal.
-94÷72(-2249)
Step 4
To divide by a fraction, multiply by its reciprocal.
-9427(-2249)
Step 5
Cancel the common factor of 2.
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Step 5.1
Move the leading negative in -94 into the numerator.
-9427(-2249)
Step 5.2
Factor 2 out of 4.
-92(2)27(-2249)
Step 5.3
Cancel the common factor.
-92227(-2249)
Step 5.4
Rewrite the expression.
-9217(-2249)
-9217(-2249)
Step 6
Multiply -92 by 17.
-927(-2249)
Step 7
Multiply 2 by 7.
-914(-2249)
Step 8
Cancel the common factor of 9.
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Step 8.1
Move the leading negative in -2249 into the numerator.
-914-2249
Step 8.2
Factor 9 out of -9.
9(-1)14-2249
Step 8.3
Cancel the common factor.
9-114-2249
Step 8.4
Rewrite the expression.
-114-224
-114-224
Step 9
Cancel the common factor of 14.
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Step 9.1
Factor 14 out of -224.
-114(14(-16))
Step 9.2
Cancel the common factor.
-114(14-16)
Step 9.3
Rewrite the expression.
--16
--16
Step 10
Multiply -1 by -16.
16
 [x2  12  π  xdx ]