# Evaluate (2/3-4/5)*8/10+(5/6+4/5)÷(2/9) (23-45)⋅810+(56+45)÷29
To write 56 as a fraction with a common denominator, multiply by 55.
(23-45)⋅810+56⋅55+4529
To write 45 as a fraction with a common denominator, multiply by 66.
(23-45)⋅810+56⋅55+45⋅6629
Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.
Multiply 56 and 55.
(23-45)⋅810+5⋅56⋅5+45⋅6629
Multiply 6 by 5.
(23-45)⋅810+5⋅530+45⋅6629
Multiply 45 and 66.
(23-45)⋅810+5⋅530+4⋅65⋅629
Multiply 5 by 6.
(23-45)⋅810+5⋅530+4⋅63029
(23-45)⋅810+5⋅530+4⋅63029
Combine the numerators over the common denominator.
(23-45)⋅810+5⋅5+4⋅63029
Simplify the numerator.
Multiply 5 by 5.
(23-45)⋅810+25+4⋅63029
Multiply 4 by 6.
(23-45)⋅810+25+243029
(23-45)⋅810+493029
(23-45)⋅810+493029
Simplify each term.
To write 23 as a fraction with a common denominator, multiply by 55.
(23⋅55-45)⋅810+493029
To write -45 as a fraction with a common denominator, multiply by 33.
(23⋅55-45⋅33)⋅810+493029
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 23 and 55.
(2⋅53⋅5-45⋅33)⋅810+493029
Multiply 3 by 5.
(2⋅515-45⋅33)⋅810+493029
Multiply 45 and 33.
(2⋅515-4⋅35⋅3)⋅810+493029
Multiply 5 by 3.
(2⋅515-4⋅315)⋅810+493029
(2⋅515-4⋅315)⋅810+493029
Combine the numerators over the common denominator.
2⋅5-4⋅315⋅810+493029
Simplify the numerator.
Multiply 2 by 5.
10-4⋅315⋅810+493029
Multiply -4 by 3.
10-1215⋅810+493029
Subtract 12 from 10.
-215⋅810+493029
-215⋅810+493029
Cancel the common factor of 2.
Factor 2 out of -2.
2(-1)15⋅810+493029
Factor 2 out of 10.
2⋅-115⋅82⋅5+493029
Cancel the common factor.
2⋅-115⋅82⋅5+493029
Rewrite the expression.
-115⋅85+493029
-115⋅85+493029
Multiply -115 and 85.
-1⋅815⋅5+493029
Multiply -1 by 8.
-815⋅5+493029
Multiply 15 by 5.
-875+493029
Move the negative in front of the fraction.
-875+493029
Multiply the numerator by the reciprocal of the denominator.
-875+4930⋅92
Cancel the common factor of 3.
Factor 3 out of 30.
-875+493(10)⋅92
Factor 3 out of 9.
-875+493⋅10⋅3⋅32
Cancel the common factor.
-875+493⋅10⋅3⋅32
Rewrite the expression.
-875+4910⋅32
-875+4910⋅32
Multiply 4910 and 32.
-875+49⋅310⋅2
Multiply 49 by 3.
-875+14710⋅2
Multiply 10 by 2.
-875+14720
-875+14720
To write -875 as a fraction with a common denominator, multiply by 44.
-875⋅44+14720
To write 14720 as a fraction with a common denominator, multiply by 1515.
-875⋅44+14720⋅1515
Write each expression with a common denominator of 300, by multiplying each by an appropriate factor of 1.
Multiply 875 and 44.
-8⋅475⋅4+14720⋅1515
Multiply 75 by 4.
-8⋅4300+14720⋅1515
Multiply 14720 and 1515.
-8⋅4300+147⋅1520⋅15
Multiply 20 by 15.
-8⋅4300+147⋅15300
-8⋅4300+147⋅15300
Combine the numerators over the common denominator.
-8⋅4+147⋅15300
Simplify the numerator.
Multiply -8 by 4.
-32+147⋅15300
Multiply 147 by 15.
-32+2205300
2173300
2173300
The result can be shown in multiple forms.
Exact Form:
2173300
Decimal Form:
7.243‾
Mixed Number Form:
773300
Evaluate (2/3-4/5)*8/10+(5/6+4/5)÷(2/9)

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