# Evaluate 1/2+(2/3-5/4)+3/5 12+(23-54)+35
Remove parentheses.
12+23-54+35
To write 12 as a fraction with a common denominator, multiply by 33.
12⋅33+23-54+35
To write 23 as a fraction with a common denominator, multiply by 22.
12⋅33+23⋅22-54+35
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 12 and 33.
32⋅3+23⋅22-54+35
Multiply 2 by 3.
36+23⋅22-54+35
Multiply 23 and 22.
36+2⋅23⋅2-54+35
Multiply 3 by 2.
36+2⋅26-54+35
36+2⋅26-54+35
Combine the numerators over the common denominator.
3+2⋅26-54+35
Simplify the numerator.
Multiply 2 by 2.
3+46-54+35
Add 3 and 4.
76-54+35
76-54+35
To write 76 as a fraction with a common denominator, multiply by 22.
76⋅22-54+35
To write -54 as a fraction with a common denominator, multiply by 33.
76⋅22-54⋅33+35
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 76 and 22.
7⋅26⋅2-54⋅33+35
Multiply 6 by 2.
7⋅212-54⋅33+35
Multiply 54 and 33.
7⋅212-5⋅34⋅3+35
Multiply 4 by 3.
7⋅212-5⋅312+35
7⋅212-5⋅312+35
Combine the numerators over the common denominator.
7⋅2-5⋅312+35
Simplify the numerator.
Multiply 7 by 2.
14-5⋅312+35
Multiply -5 by 3.
14-1512+35
Subtract 15 from 14.
-112+35
-112+35
Move the negative in front of the fraction.
-112+35
To write -112 as a fraction with a common denominator, multiply by 55.
-112⋅55+35
To write 35 as a fraction with a common denominator, multiply by 1212.
-112⋅55+35⋅1212
Write each expression with a common denominator of 60, by multiplying each by an appropriate factor of 1.
Multiply 112 and 55.
-512⋅5+35⋅1212
Multiply 12 by 5.
-560+35⋅1212
Multiply 35 and 1212.
-560+3⋅125⋅12
Multiply 5 by 12.
-560+3⋅1260
-560+3⋅1260
Combine the numerators over the common denominator.
-5+3⋅1260
Simplify the numerator.
Multiply 3 by 12.
-5+3660
Add -5 and 36.
3160
3160
The result can be shown in multiple forms.
Exact Form:
3160
Decimal Form:
0.516‾
Evaluate 1/2+(2/3-5/4)+3/5

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