# Simplify 8 2/5-5/6

825-56
Convert 825 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
8+25-56
To write 8 as a fraction with a common denominator, multiply by 55.
8⋅55+25-56
Combine 8 and 55.
8⋅55+25-56
Combine the numerators over the common denominator.
8⋅5+25-56
Simplify the numerator.
Multiply 8 by 5.
40+25-56
425-56
425-56
425-56
425-56
To write 425 as a fraction with a common denominator, multiply by 66.
425⋅66-56
To write -56 as a fraction with a common denominator, multiply by 55.
425⋅66-56⋅55
Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.
Multiply 425 and 66.
42⋅65⋅6-56⋅55
Multiply 5 by 6.
42⋅630-56⋅55
Multiply 56 and 55.
42⋅630-5⋅56⋅5
Multiply 6 by 5.
42⋅630-5⋅530
42⋅630-5⋅530
Combine the numerators over the common denominator.
42⋅6-5⋅530
Simplify the numerator.
Multiply 42 by 6.
252-5⋅530
Multiply -5 by 5.
252-2530
Subtract 25 from 252.
22730
22730
The result can be shown in multiple forms.
Exact Form:
22730
Decimal Form:
7.56‾
Mixed Number Form:
71730
Simplify 8 2/5-5/6