# Simplify 5 1/3-3 9/18

513-3918
Convert 513 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
5+13-3918
Add 5 and 13.
To write 5 as a fraction with a common denominator, multiply by 33.
5⋅33+13-3918
Combine 5 and 33.
5⋅33+13-3918
Combine the numerators over the common denominator.
5⋅3+13-3918
Simplify the numerator.
Multiply 5 by 3.
15+13-3918
Add 15 and 1.
163-3918
163-3918
163-3918
163-3918
Convert 3918 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
163-(3+918)
Add 3 and 918.
To write 3 as a fraction with a common denominator, multiply by 1818.
163-(3⋅1818+918)
Combine 3 and 1818.
163-(3⋅1818+918)
Combine the numerators over the common denominator.
163-3⋅18+918
Simplify the numerator.
Multiply 3 by 18.
163-54+918
Add 54 and 9.
163-6318
163-6318
163-6318
163-6318
Cancel the common factor of 63 and 18.
Factor 9 out of 63.
163-9(7)18
Cancel the common factors.
Factor 9 out of 18.
163-9⋅79⋅2
Cancel the common factor.
163-9⋅79⋅2
Rewrite the expression.
163-72
163-72
163-72
To write 163 as a fraction with a common denominator, multiply by 22.
163⋅22-72
To write -72 as a fraction with a common denominator, multiply by 33.
163⋅22-72⋅33
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 163 and 22.
16⋅23⋅2-72⋅33
Multiply 3 by 2.
16⋅26-72⋅33
Multiply 72 and 33.
16⋅26-7⋅32⋅3
Multiply 2 by 3.
16⋅26-7⋅36
16⋅26-7⋅36
Combine the numerators over the common denominator.
16⋅2-7⋅36
Simplify the numerator.
Multiply 16 by 2.
32-7⋅36
Multiply -7 by 3.
32-216
Subtract 21 from 32.
116
116
The result can be shown in multiple forms.
Exact Form:
116
Decimal Form:
1.83‾
Mixed Number Form:
156
Simplify 5 1/3-3 9/18

Scroll to top