# Combine 4 2/5-2 1/3

425-213
Convert 425 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
4+25-213
To write 4 as a fraction with a common denominator, multiply by 55.
4⋅55+25-213
Combine 4 and 55.
4⋅55+25-213
Combine the numerators over the common denominator.
4⋅5+25-213
Simplify the numerator.
Multiply 4 by 5.
20+25-213
225-213
225-213
225-213
225-213
Convert 213 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
225-(2+13)
To write 2 as a fraction with a common denominator, multiply by 33.
225-(2⋅33+13)
Combine 2 and 33.
225-(2⋅33+13)
Combine the numerators over the common denominator.
225-2⋅3+13
Simplify the numerator.
Multiply 2 by 3.
225-6+13
225-73
225-73
225-73
225-73
To write 225 as a fraction with a common denominator, multiply by 33.
225⋅33-73
To write -73 as a fraction with a common denominator, multiply by 55.
225⋅33-73⋅55
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 225 and 33.
22⋅35⋅3-73⋅55
Multiply 5 by 3.
22⋅315-73⋅55
Multiply 73 and 55.
22⋅315-7⋅53⋅5
Multiply 3 by 5.
22⋅315-7⋅515
22⋅315-7⋅515
Combine the numerators over the common denominator.
22⋅3-7⋅515
Simplify the numerator.
Multiply 22 by 3.
66-7⋅515
Multiply -7 by 5.
66-3515
Subtract 35 from 66.
3115
3115
Combine 4 2/5-2 1/3

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