# Multiply 5 4/9÷(2/15)*3/7-7 5/6

549÷215⋅37-756
Convert 549 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
5+49215⋅37-756
To write 5 as a fraction with a common denominator, multiply by 99.
5⋅99+49215⋅37-756
Combine 5 and 99.
5⋅99+49215⋅37-756
Combine the numerators over the common denominator.
5⋅9+49215⋅37-756
Simplify the numerator.
Multiply 5 by 9.
45+49215⋅37-756
499215⋅37-756
499215⋅37-756
499215⋅37-756
499215⋅37-756
Convert 756 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
499215⋅37-(7+56)
To write 7 as a fraction with a common denominator, multiply by 66.
499215⋅37-(7⋅66+56)
Combine 7 and 66.
499215⋅37-(7⋅66+56)
Combine the numerators over the common denominator.
499215⋅37-7⋅6+56
Simplify the numerator.
Multiply 7 by 6.
499215⋅37-42+56
499215⋅37-476
499215⋅37-476
499215⋅37-476
499215⋅37-476
Simplify each term.
Multiply the numerator by the reciprocal of the denominator.
499⋅152⋅37-476
Cancel the common factor of 3.
Factor 3 out of 9.
493(3)⋅152⋅37-476
Factor 3 out of 15.
493⋅3⋅3⋅52⋅37-476
Cancel the common factor.
493⋅3⋅3⋅52⋅37-476
Rewrite the expression.
493⋅52⋅37-476
493⋅52⋅37-476
Multiply 493 and 52.
49⋅53⋅2⋅37-476
Multiply 49 by 5.
2453⋅2⋅37-476
Multiply 3 by 2.
2456⋅37-476
Cancel the common factor of 7.
Factor 7 out of 245.
7(35)6⋅37-476
Cancel the common factor.
7⋅356⋅37-476
Rewrite the expression.
356⋅3-476
356⋅3-476
Cancel the common factor of 3.
Factor 3 out of 6.
353(2)⋅3-476
Cancel the common factor.
353⋅2⋅3-476
Rewrite the expression.
352-476
352-476
352-476
To write 352 as a fraction with a common denominator, multiply by 33.
352⋅33-476
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 352 and 33.
35⋅32⋅3-476
Multiply 2 by 3.
35⋅36-476
35⋅36-476
Combine the numerators over the common denominator.
35⋅3-476
Simplify the numerator.
Multiply 35 by 3.
105-476
Subtract 47 from 105.
586
586
Cancel the common factor of 58 and 6.
Factor 2 out of 58.
2(29)6
Cancel the common factors.
Factor 2 out of 6.
2⋅292⋅3
Cancel the common factor.
2⋅292⋅3
Rewrite the expression.
293
293
293
The result can be shown in multiple forms.
Exact Form:
293
Decimal Form:
9.6‾
Mixed Number Form:
923
Multiply 5 4/9÷(2/15)*3/7-7 5/6

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