Solve for G G+5 1/6=3 3/8

Math
G+516=338
Convert 516 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
G+5+16=338
Add 5 and 16.
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To write 5 as a fraction with a common denominator, multiply by 66.
G+5⋅66+16=338
Combine 5 and 66.
G+5⋅66+16=338
Combine the numerators over the common denominator.
G+5⋅6+16=338
Simplify the numerator.
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Multiply 5 by 6.
G+30+16=338
Add 30 and 1.
G+316=338
G+316=338
G+316=338
G+316=338
Convert 338 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
G+316=3+38
Add 3 and 38.
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To write 3 as a fraction with a common denominator, multiply by 88.
G+316=3⋅88+38
Combine 3 and 88.
G+316=3⋅88+38
Combine the numerators over the common denominator.
G+316=3⋅8+38
Simplify the numerator.
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Multiply 3 by 8.
G+316=24+38
Add 24 and 3.
G+316=278
G+316=278
G+316=278
G+316=278
Move all terms not containing G to the right side of the equation.
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Subtract 316 from both sides of the equation.
G=278-316
To write 278 as a fraction with a common denominator, multiply by 33.
G=278⋅33-316
To write -316 as a fraction with a common denominator, multiply by 44.
G=278⋅33-316⋅44
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
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Multiply 278 and 33.
G=27⋅38⋅3-316⋅44
Multiply 8 by 3.
G=27⋅324-316⋅44
Multiply 316 and 44.
G=27⋅324-31⋅46⋅4
Multiply 6 by 4.
G=27⋅324-31⋅424
G=27⋅324-31⋅424
Combine the numerators over the common denominator.
G=27⋅3-31⋅424
Simplify the numerator.
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Multiply 27 by 3.
G=81-31⋅424
Multiply -31 by 4.
G=81-12424
Subtract 124 from 81.
G=-4324
G=-4324
Move the negative in front of the fraction.
G=-4324
G=-4324
The result can be shown in multiple forms.
Exact Form:
G=-4324
Decimal Form:
G=-1.7916‾
Mixed Number Form:
G=-11924
Solve for G G+5 1/6=3 3/8

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