Basic Math Examples

Evaluate 15/8*(-2/5)+(1/7-2/5)÷( square root of 343/7)
Step 1
To write as a fraction with a common denominator, multiply by .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 3.3
Multiply by .
Step 3.4
Multiply by .
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
Simplify each term.
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Step 6.1
Cancel the common factor of .
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Step 6.1.1
Move the leading negative in into the numerator.
Step 6.1.2
Factor out of .
Step 6.1.3
Cancel the common factor.
Step 6.1.4
Rewrite the expression.
Step 6.2
Cancel the common factor of .
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Step 6.2.1
Factor out of .
Step 6.2.2
Factor out of .
Step 6.2.3
Cancel the common factor.
Step 6.2.4
Rewrite the expression.
Step 6.3
Combine and .
Step 6.4
Multiply by .
Step 6.5
Move the negative in front of the fraction.
Step 6.6
Rewrite the division as a fraction.
Step 6.7
Cancel the common factor of and .
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Step 6.7.1
Factor out of .
Step 6.7.2
Cancel the common factors.
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Step 6.7.2.1
Factor out of .
Step 6.7.2.2
Cancel the common factor.
Step 6.7.2.3
Rewrite the expression.
Step 6.7.2.4
Divide by .
Step 6.8
Multiply the numerator by the reciprocal of the denominator.
Step 6.9
Move the negative in front of the fraction.
Step 6.10
Simplify the denominator.
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Step 6.10.1
Rewrite as .
Step 6.10.2
Pull terms out from under the radical, assuming positive real numbers.
Step 6.11
Multiply .
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Step 6.11.1
Multiply by .
Step 6.11.2
Multiply by .
Step 7
To write as a fraction with a common denominator, multiply by .
Step 8
To write as a fraction with a common denominator, multiply by .
Step 9
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 9.1
Multiply by .
Step 9.2
Multiply by .
Step 9.3
Multiply by .
Step 9.4
Multiply by .
Step 10
Combine the numerators over the common denominator.
Step 11
Simplify the numerator.
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Step 11.1
Multiply by .
Step 11.2
Multiply by .
Step 11.3
Subtract from .
Step 12
Move the negative in front of the fraction.
Step 13
The result can be shown in multiple forms.
Exact Form:
Decimal Form: