Fractions

Three-quarters of an unknown number are 4/5. What is 5/6 of this unknown number?

Result

x =  0.889

Solution:

3/4 a=4/5 a=45⋅ 43=1615≐1.0667 x=56⋅ a=56⋅ 1.0667=89≐0.8889=0.8893/4 \ a = 4/5 \ \\ a = \dfrac{ 4 }{ 5 } \cdot \ \dfrac{ 4 }{ 3 } = \dfrac{ 16 }{ 15 } \doteq 1.0667 \ \\ x = \dfrac{ 5 }{ 6 } \cdot \ a = \dfrac{ 5 }{ 6 } \cdot \ 1.0667 = \dfrac{ 8 }{ 9 } \doteq 0.8889 = 0.889

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