Basic Math Examples

Multiply (((-1-1/5)*(1/3-1/2)*(-2/3+1/4)+1/3)/(1-(-1+1/2)*(-3/5)+1/2*(1-1/2))-(-2/3)÷((-2/3)/((-1/5)*(-1/4)-1)))÷(25/19)
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Combine and .
Step 4
Combine the numerators over the common denominator.
Step 5
Simplify the numerator.
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Step 5.1
Multiply by .
Step 5.2
Subtract from .
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
To write as a fraction with a common denominator, multiply by .
Step 8
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 8.1
Multiply by .
Step 8.2
Multiply by .
Step 8.3
Multiply by .
Step 8.4
Multiply by .
Step 9
Combine the numerators over the common denominator.
Step 10
Subtract from .
Step 11
To write as a fraction with a common denominator, multiply by .
Step 12
To write as a fraction with a common denominator, multiply by .
Step 13
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 13.1
Multiply by .
Step 13.2
Multiply by .
Step 13.3
Multiply by .
Step 13.4
Multiply by .
Step 14
Combine the numerators over the common denominator.
Step 15
Simplify the numerator.
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Step 15.1
Multiply by .
Step 15.2
Add and .
Step 16
Reorder the factors of .
Step 17
To write as a fraction with a common denominator, multiply by .
Step 18
Combine fractions.
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Step 18.1
Combine and .
Step 18.2
Combine the numerators over the common denominator.
Step 19
Simplify each term.
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Step 19.1
Multiply the numerator by the reciprocal of the denominator.
Step 19.2
Simplify the numerator.
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Step 19.2.1
Move the negative in front of the fraction.
Step 19.2.2
Move the negative in front of the fraction.
Step 19.2.3
Multiply .
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Step 19.2.3.1
Multiply by .
Step 19.2.3.2
Multiply by .
Step 19.2.3.3
Multiply by .
Step 19.2.3.4
Multiply by .
Step 19.2.4
Cancel the common factor of .
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Step 19.2.4.1
Cancel the common factor.
Step 19.2.4.2
Rewrite the expression.
Step 19.2.5
Cancel the common factor of .
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Step 19.2.5.1
Factor out of .
Step 19.2.5.2
Factor out of .
Step 19.2.5.3
Cancel the common factor.
Step 19.2.5.4
Rewrite the expression.
Step 19.2.6
Combine and .
Step 19.2.7
Cancel the common factor of .
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Step 19.2.7.1
Factor out of .
Step 19.2.7.2
Cancel the common factor.
Step 19.2.7.3
Rewrite the expression.
Step 19.2.8
Move the negative in front of the fraction.
Step 19.2.9
Write as a fraction with a common denominator.
Step 19.2.10
Combine the numerators over the common denominator.
Step 19.2.11
Add and .
Step 19.3
Multiply the numerator by the reciprocal of the denominator.
Step 19.4
Cancel the common factor of .
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Step 19.4.1
Cancel the common factor.
Step 19.4.2
Rewrite the expression.
Step 19.5
Simplify the denominator.
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Step 19.5.1
To write as a fraction with a common denominator, multiply by .
Step 19.5.2
Combine and .
Step 19.5.3
Combine the numerators over the common denominator.
Step 19.5.4
Simplify the numerator.
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Step 19.5.4.1
Multiply by .
Step 19.5.4.2
Add and .
Step 19.5.5
Move the negative in front of the fraction.
Step 19.5.6
Multiply .
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Step 19.5.6.1
Multiply by .
Step 19.5.6.2
Multiply by .
Step 19.5.7
Combine and .
Step 19.5.8
Move the negative in front of the fraction.
Step 19.5.9
Multiply .
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Step 19.5.9.1
Multiply by .
Step 19.5.9.2
Multiply by .
Step 19.5.10
Write as a fraction with a common denominator.
Step 19.5.11
Combine the numerators over the common denominator.
Step 19.5.12
Subtract from .
Step 19.5.13
Multiply .
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Step 19.5.13.1
Multiply by .
Step 19.5.13.2
Multiply by .
Step 19.5.14
Write as a fraction with a common denominator.
Step 19.5.15
Combine the numerators over the common denominator.
Step 19.5.16
Subtract from .
Step 19.5.17
To write as a fraction with a common denominator, multiply by .
Step 19.5.18
To write as a fraction with a common denominator, multiply by .
Step 19.5.19
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 19.5.19.1
Multiply by .
Step 19.5.19.2
Multiply by .
Step 19.5.19.3
Multiply by .
Step 19.5.19.4
Multiply by .
Step 19.5.20
Combine the numerators over the common denominator.
Step 19.5.21
Simplify the numerator.
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Step 19.5.21.1
Multiply by .
Step 19.5.21.2
Add and .
Step 19.6
Multiply the numerator by the reciprocal of the denominator.
Step 19.7
Multiply by .
Step 19.8
Cancel the common factor of .
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Step 19.8.1
Factor out of .
Step 19.8.2
Cancel the common factor.
Step 19.8.3
Rewrite the expression.
Step 19.9
To divide by a fraction, multiply by its reciprocal.
Step 19.10
Multiply the numerator by the reciprocal of the denominator.
Step 19.11
Simplify each term.
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Step 19.11.1
Multiply .
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Step 19.11.1.1
Multiply by .
Step 19.11.1.2
Multiply by .
Step 19.11.2
Multiply .
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Step 19.11.2.1
Multiply by .
Step 19.11.2.2
Multiply by .
Step 19.12
To write as a fraction with a common denominator, multiply by .
Step 19.13
Combine and .
Step 19.14
Combine the numerators over the common denominator.
Step 19.15
Simplify the numerator.
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Step 19.15.1
Multiply by .
Step 19.15.2
Subtract from .
Step 19.16
Move the negative in front of the fraction.
Step 19.17
Multiply .
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Step 19.17.1
Multiply by .
Step 19.17.2
Multiply by .
Step 19.17.3
Multiply by .
Step 19.17.4
Multiply by .
Step 19.17.5
Multiply by .
Step 19.18
Cancel the common factor of .
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Step 19.18.1
Move the leading negative in into the numerator.
Step 19.18.2
Factor out of .
Step 19.18.3
Factor out of .
Step 19.18.4
Cancel the common factor.
Step 19.18.5
Rewrite the expression.
Step 19.19
Cancel the common factor of .
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Step 19.19.1
Factor out of .
Step 19.19.2
Cancel the common factor.
Step 19.19.3
Rewrite the expression.
Step 19.20
Multiply .
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Step 19.20.1
Multiply by .
Step 19.20.2
Multiply by .
Step 20
To write as a fraction with a common denominator, multiply by .
Step 21
To write as a fraction with a common denominator, multiply by .
Step 22
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 22.1
Multiply by .
Step 22.2
Multiply by .
Step 22.3
Multiply by .
Step 22.4
Multiply by .
Step 23
Combine the numerators over the common denominator.
Step 24
Simplify the numerator.
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Step 24.1
Multiply by .
Step 24.2
Multiply by .
Step 24.3
Add and .
Step 25
Cancel the common factor of .
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Step 25.1
Factor out of .
Step 25.2
Cancel the common factor.
Step 25.3
Rewrite the expression.
Step 26
Multiply by .
Step 27
Multiply by .
Step 28
The result can be shown in multiple forms.
Exact Form:
Decimal Form: