# Convert to a Mixed Number 2201.5/4

2201.54
Multiply the numerator and denominator by 10.
2201540
Reduce the expression 2201540 by cancelling the common factors.
Factor 5 out of 22015.
5(4403)40
Factor 5 out of 40.
5⋅44035⋅8
Cancel the common factor.
5⋅44035⋅8
Rewrite the expression.
44038
44038
Set up the division problem in long division format.
 8 4 4 0 3
Divide 44 by 8. Place this digit in the quotient on top of the division symbol.
 5 8 4 4 0 3
Multiply the newest quotient digit (5) by the divisor 8.
 5 8 4 4 0 3 4 0
Subtract 40 from 44.
 5 8 4 4 0 3 4 0 4
Bring down the next number of the dividend.
 5 8 4 4 0 3 4 0 4 0
Divide 40 by 8. Place this digit in the quotient on top of the division symbol.
 5 5 8 4 4 0 3 4 0 4 0
Multiply the newest quotient digit (5) by the divisor 8.
 5 5 8 4 4 0 3 4 0 4 0 – 4 0
Subtract 40 from 40.
 5 5 8 4 4 0 3 4 0 4 0 – 4 0 0
Bring down the next number of the dividend.
 5 5 8 4 4 0 3 4 0 4 0 – 4 0 0 3
Divide 3 by 8. Place this digit in the quotient on top of the division symbol.
 5 5 0 8 4 4 0 3 4 0 4 0 – 4 0 0 3
Multiply the newest quotient digit (0) by the divisor 8.
 5 5 0 8 4 4 0 3 4 0 4 0 – 4 0 0 3 – 0
Subtract 0 from 3.
 5 5 0 8 4 4 0 3 4 0 4 0 – 4 0 0 3 – 0 3
The result of division of 44038 is 550 with a remainder of 3.
55038
Convert to a Mixed Number 2201.5/4