# Evaluate (7/9-5/6)*18+3.95*6-1.45*6

(79-56)⋅18+3.95⋅6-1.45⋅6
Simplify each term.
To write 79 as a fraction with a common denominator, multiply by 22.
(79⋅22-56)⋅18+3.95⋅6-1.45⋅6
To write -56 as a fraction with a common denominator, multiply by 33.
(79⋅22-56⋅33)⋅18+3.95⋅6-1.45⋅6
Write each expression with a common denominator of 18, by multiplying each by an appropriate factor of 1.
Multiply 79 and 22.
(7⋅29⋅2-56⋅33)⋅18+3.95⋅6-1.45⋅6
Multiply 9 by 2.
(7⋅218-56⋅33)⋅18+3.95⋅6-1.45⋅6
Multiply 56 and 33.
(7⋅218-5⋅36⋅3)⋅18+3.95⋅6-1.45⋅6
Multiply 6 by 3.
(7⋅218-5⋅318)⋅18+3.95⋅6-1.45⋅6
(7⋅218-5⋅318)⋅18+3.95⋅6-1.45⋅6
Combine the numerators over the common denominator.
7⋅2-5⋅318⋅18+3.95⋅6-1.45⋅6
Simplify the numerator.
Multiply 7 by 2.
14-5⋅318⋅18+3.95⋅6-1.45⋅6
Multiply -5 by 3.
14-1518⋅18+3.95⋅6-1.45⋅6
Subtract 15 from 14.
-118⋅18+3.95⋅6-1.45⋅6
-118⋅18+3.95⋅6-1.45⋅6
Cancel the common factor of 18.
Cancel the common factor.
-118⋅18+3.95⋅6-1.45⋅6
Rewrite the expression.
-1+3.95⋅6-1.45⋅6
-1+3.95⋅6-1.45⋅6
Multiply 3.95 by 6.
-1+23.7-1.45⋅6
Multiply -1.45 by 6.
-1+23.7-8.7
-1+23.7-8.7
Simplify by adding and subtracting.
Add -1 and 23.7.
22.7-8.7
Subtract 8.7 from 22.7.
14
14
Evaluate (7/9-5/6)*18+3.95*6-1.45*6

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