Simplify (5y)/8+(2y)/9

Math
5y8+2y9
To write 5y8 as a fraction with a common denominator, multiply by 99.
5y8⋅99+2y9
To write 2y9 as a fraction with a common denominator, multiply by 88.
5y8⋅99+2y9⋅88
Write each expression with a common denominator of 72, by multiplying each by an appropriate factor of 1.
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Multiply 5y8 and 99.
5y⋅98⋅9+2y9⋅88
Multiply 8 by 9.
5y⋅972+2y9⋅88
Multiply 2y9 and 88.
5y⋅972+2y⋅89⋅8
Multiply 9 by 8.
5y⋅972+2y⋅872
5y⋅972+2y⋅872
Combine the numerators over the common denominator.
5y⋅9+2y⋅872
Simplify the numerator.
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Factor y out of 5y⋅9+2y⋅8.
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Factor y out of 5y⋅9.
y(5⋅9)+2y⋅872
Factor y out of 2y⋅8.
y(5⋅9)+y(2⋅8)72
Factor y out of y(5⋅9)+y(2⋅8).
y(5⋅9+2⋅8)72
y(5⋅9+2⋅8)72
Multiply 5 by 9.
y(45+2⋅8)72
Multiply 2 by 8.
y(45+16)72
Add 45 and 16.
y⋅6172
y⋅6172
Move 61 to the left of y.
61y72
Simplify (5y)/8+(2y)/9

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