# Evaluate 4 2/3–5/8

423–58
Convert 423 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
4+23–58
To write 4 as a fraction with a common denominator, multiply by 33.
4⋅33+23–58
Combine 4 and 33.
4⋅33+23–58
Combine the numerators over the common denominator.
4⋅3+23–58
Simplify the numerator.
Multiply 4 by 3.
12+23–58
143–58
143–58
143–58
143–58
Simplify each term.
Move the negative in front of the fraction.
143–58
Multiply –58.
Multiply -1 by -1.
143+1(58)
Multiply 58 by 1.
143+58
143+58
143+58
To write 143 as a fraction with a common denominator, multiply by 88.
143⋅88+58
To write 58 as a fraction with a common denominator, multiply by 33.
143⋅88+58⋅33
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
Multiply 143 and 88.
14⋅83⋅8+58⋅33
Multiply 3 by 8.
14⋅824+58⋅33
Multiply 58 and 33.
14⋅824+5⋅38⋅3
Multiply 8 by 3.
14⋅824+5⋅324
14⋅824+5⋅324
Combine the numerators over the common denominator.
14⋅8+5⋅324
Simplify the numerator.
Multiply 14 by 8.
112+5⋅324
Multiply 5 by 3.
112+1524
12724
12724
The result can be shown in multiple forms.
Exact Form:
12724
Decimal Form:
5.2916‾
Mixed Number Form:
5724
Evaluate 4 2/3–5/8

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