# Evaluate (49/6)-(15/4)+5/2 (496)-(154)+52
To write 496 as a fraction with a common denominator, multiply by 22.
496⋅22-154+52
To write -154 as a fraction with a common denominator, multiply by 33.
496⋅22-154⋅33+52
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 496 and 22.
49⋅26⋅2-154⋅33+52
Multiply 6 by 2.
49⋅212-154⋅33+52
Multiply 154 and 33.
49⋅212-15⋅34⋅3+52
Multiply 4 by 3.
49⋅212-15⋅312+52
49⋅212-15⋅312+52
Combine the numerators over the common denominator.
49⋅2-15⋅312+52
Simplify the numerator.
Multiply 49 by 2.
98-15⋅312+52
Multiply -15 by 3.
98-4512+52
Subtract 45 from 98.
5312+52
5312+52
To write 52 as a fraction with a common denominator, multiply by 66.
5312+52⋅66
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 52 and 66.
5312+5⋅62⋅6
Multiply 2 by 6.
5312+5⋅612
5312+5⋅612
Combine the numerators over the common denominator.
53+5⋅612
Simplify the numerator.
Multiply 5 by 6.
53+3012
Add 53 and 30.
8312
8312
The result can be shown in multiple forms.
Exact Form:
8312
Decimal Form:
6.916‾
Mixed Number Form:
61112
Evaluate (49/6)-(15/4)+5/2

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