Simplify (12y+24z)/(60y+120z)

Math
12y+24z60y+120z
Cancel the common factor of 12y+24z and 60y+120z.
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Factor 12 out of 12y.
12(y)+24z60y+120z
Factor 12 out of 24z.
12(y)+12(2z)60y+120z
Factor 12 out of 12(y)+12(2z).
12(y+2z)60y+120z
Cancel the common factors.
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Factor 12 out of 60y.
12(y+2z)12(5y)+120z
Factor 12 out of 120z.
12(y+2z)12(5y)+12(10z)
Factor 12 out of 12(5y)+12(10z).
12(y+2z)12(5y+10z)
Cancel the common factor.
12(y+2z)12(5y+10z)
Rewrite the expression.
y+2z5y+10z
y+2z5y+10z
y+2z5y+10z
Factor 5 out of 5y+10z.
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Factor 5 out of 5y.
y+2z5(y)+10z
Factor 5 out of 10z.
y+2z5(y)+5(2z)
Factor 5 out of 5(y)+5(2z).
y+2z5(y+2z)
y+2z5(y+2z)
Cancel the common factor of y+2z.
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Cancel the common factor.
y+2z5(y+2z)
Rewrite the expression.
15
15
The result can be shown in multiple forms.
Exact Form:
15
Decimal Form:
0.2
Simplify (12y+24z)/(60y+120z)

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